Pedro Schlottmann, in Handbook of Magnetic Materials, 2015. Lecture 17 Degenerate Fermi gas, low temperature expansion and specific heat. DOWNLOAD. 1 + p. 1 + (3.4) In the Fermi-liquid theory, the effective mass is defined as m = 1 + pF, =m. % However, numerous U-, Ce-, and Yb-based heavy fermion systems show deviations from Fermi liquid behavior, e.g., the specific heat follows a T ln(T 0 /T) or power-law in T behavior, the temperature dependence of the . Course Info. endobj xXO1U@8&6Uz/)1o>}yH-ju[?=pXz[)YXc4]:7I~W`HDMI7:[\=@zg=Oiw?iGVe'^u-v\w]GQ^C3'yM, nTPz&7mq 2mWV&\oHIye#8H~U@%Xl&O d?v XsRJP*qs]:Qq JUU^eJX"Xk?hKDJps>p30 >> 13 0 obj +5QhT6~;RlT Lecture notes on Fermi liquid theory, the electron spectral function, and the Landau parameter. Lecture Notes 1 through 10 are provided courtesy of Mark Spencer Rudner and are used with. 13 Page(s). endstream x5({5v\syMcrCDf0Z&K+=)-~fA!_Kpp$3P/UZKN2]J24{JnaGV-dJ"VJNYv^Dj\ n_J!n}I9V.l\GjV>2TwYQOhon}VTqn2-K0 XeOdQ{1u/!Jy- LAbw:>,@tL&"4nJp~k""i~<>om[] gg,m9p9"kH MoivD+3F#I"?B>KwkT.$i#UsM@OS#*" 1;\z O|Z7{ eB\z`{;BzV B 3, 315 (1998). Instructor: Prof. Patrick Lee Course Number: 8.512 Departments: Physics l+YX$~03Omc-t'?7R#W|SQ]$'^mg)B_>Xq1w]0' i *tc0}?~m3?*l These assumptions (and results) are usually called the Landau Theory of the Fermi Liquid, or more commonly Fermi Liquid Theory (FLT).1 pF |~k | n(~k) Z 1 Figure 5.1: Discontinuity in the occupation number at the Fermi surface in a a free and in an interacting system. `6{0g'fSPru9K>P#i&oPc{,3t]9^FbEul\{8$N`#KO`WCVFNin$lB'6EL(e"q. bJ~5M*_|vhLA^)g{vI!@{?b( F2p@`i>s# Landau (1956-57), which aims to describe the quantum properties of liquid 3 He in the normal (non-superfluid) state at low temperatures, kBT F ( T 1 K). In these lecture notes, the basic physics of Fermi liquids and Luttinger liquids is presented. DOWNLOAD. endobj ~1TDw$B]NB v ~e%%b4JCR_!Q&.gyN0*ndYe ngj-t^-@XFm/!. endstream endobj >> Class note uploaded on Feb 21, 2017. endobj A key point was the idea of a self-energy which itself has an energy and momentum dependence. Landau's Fermi liquid theory, which concentrates rich contents into a simple theory, is a good example to solve many-body problems. f=?5mFO;;*86ANL8C&"0jC%w7n(^?|=|i]-!SB 5NQ8m$cc.Y,`#! Except in certain \heavy fermion" metals, the electronic contri- 2 0 obj << The Fermi liquid theory constructed by Landau efficiently describes strongly correlated fermions in terms of small number of parameters. The basis of the Fermi liquid . >> The contents of the review are set out in the following order. A Luttinger liquid, or Tomonaga-Luttinger liquid, is a theoretical model describing interacting electrons (or other fermions) in a one-dimensional conductor (e.g. arrow_back browse course material library_books. Concept of Landau's Fermi liquid theory elementary excitations of interacting Fermions are described by almost independent fermionic quasiparticles state of Fermi liquid described simply by quasiparticle distribution Phenomenological Theory by Landau energy functional: Resource Type: Lecture Notes. +(UQVtPKNPe0E^a>Fm'3VZ 16 0 obj Access the best Study Guides Lecture Notes and Practice Exams Log In Sign Up. Scribd is the world's largest social reading and publishing site. You will learn why Landau's Fermi liquid theory is applicable at all in solids, what are its underlying assumptions and what consequences follow from these assumptions. Lecture 10 : Landau Fermi liquid (IV) -- Microscopic theory: vertex functions. I present the theory as if it could have logically developed, but this not necessarily re VI.Non- Fermi-liquid behaviors 37 A.Dirty Fermi liquids 38 1.Scattering rate 38 2.T-dependence of the resistivity 40 A.Born approximation for the Landau function 43 References 44 I. /Filter /FlateDecode Magnetism lecture notes; Fermi Liquid Theory and the Independent electron A. View Notes - Fermi-liquid from PHYS fs11 at Swiss Federal Institute of Technology Zurich. A Fermi liquid is one in which the self-energy is finite and has finite derivatives at the Fermi energy: then there is a jump in the occupation n (k) at the Fermi surface just as a non-interacting system, but with a reduced value in the jump. 21 0 obj 13 0 obj << endobj Fermi Liquid Theory. Landau Fermi liquid theorywas introduced to describe low-energy degrees of freedom of a Fermi gas with interactions in a non-perturbative way (to complement the perturbative diagrammatic approach). Lecture 18 Pauli paramagnetism of the non-interacting . The Fermi momentum is the same in the interacting and free system. lecture notes are intended to show the strengths and exibility of the RG for. 5 0 obj (Renormalization of the specific heat) 24 0 obj The basis for the understanding of this state is the Landau Fermi liquid theory (LFLT) settled as a phenomenological description by Landau in 1956. /Contents 3 0 R file_download Download File. Aa[#{2t1d*p.;,K)$.G; 10 Fermi liquid theory 56 . Hartree Fock. [1] The interactions among the particles of the many-body system do not need to be small. [2FI&zS*(km%A4zQBW:mZ'CXI*dCd"oH!Rx!yo"2;^IHJ /Filter /FlateDecode >> following description of the behavior of a Fermi liquid at very low tempera-tures. The central premise of Fermi Liquid Theory is that the excitations of a 3D electron gas are in 1-to-1 correspondence with those of a non-interacting gas, x\Y~}2&QP-:$2d;$oh/7/]!Q endobj A fundamental postulate of Landau's Fermi liquid theory is that quasiparticle energies are a function of the momentum, p, and that the momentum, p F, corresponding to the Fermi energy continues to be given by a free particle expression.Thus, the quasiparticle states are in one-to-one correspondence with those of an ideal Fermi . _\u}P{24\e xn6~ Landau's idea of a "Fermi liquid": the state of electrons in a real metal is adiabatically connected to the free Fermi gas, in the same way as a liquid can be adiabatically connected (at high temperature and pressure, say, above the boiling transition) to a gas. Phys. students may read the lecture notes "Functional integrals" and "Renormalization group and critical phenomena" available in the section "Notes on the many-body problem " of this web page. We discussed in Lecture 1 the intimate connection between global U(1) symmetries and the Luttinger relation between the size of the Fermi surface and the density of particles. NZ]W6r hu =u ` I will roughly follow the notation and logic in this reference. The core of the theory is the concept of quasi-particles. Preface About Basic Training Basic Training in Condensed Matter physics is a modular team taught course . endobj )6]uS-P*r Unfortunately no tutors are uploaded for you owned this is divided these notes for active researchers, fermi liquid theory of plasmons. (Renormalization of the electron spectral weight) ] &lx )Zv;W2t Tzh|`y\b @UBSB $0DX5z *I#jFUK.~-/V372. Course Info. 33 0 obj << (Interaction of quasiparticles) endobj file_download Download File. (Fermi liquid theory) Landau's Fermi-liquid theory is the definitive theory of electrons in metals 1, or more generally fermions in condensed matter, and is a major landmark of twentieth-century physics. %PDF-1.4 %PDF-1.5 Although these notes go far beyond the scope of the . There is no fundamental difference in symmetry between a metal . @V3hLlT(-r/Q}![_,m}[n4[:zjjnvYIu!,Sq'1#5[/^VHds:Dv22lp^nu7 @=2 }4{JHd017#Q)`w/+w8U*2R{.4uMp)@BL+$dP:LKdccQ2*I90L(Y6ithd#Q&s% Fermi liquids are discussed both from a phenomenological viewpoint, in relation to microscopic . /Filter /FlateDecode Please use the Get access link above for information on how to access this content. The concept of the Fermi liquid was introduced and developed by L. D. Landau. 25 0 obj The first two chapters of the book are devoted to the description of the normal state of ordinary metals in spatial dimension D 2. << /S /GoTo /D (subsubsection.3.4.6) >> -) dyxWnm >Z,h`". It was originally introduced for 3He, but can also be applied to electrons in metals. The review gives the general theory of an isotropic Fermi liquid constructed by L. D. Landau, and continued by the authors of the present article. % The concept of the Fermi liquid was introduced and developed by L. D. Landau. [`?xT*uSIJyR>w0*|#Lu(- "-DB >g4&Fix7.WtC94/t#%.X#hB+6=nJ}ElPKD`%)2Be2V0+wa]ooh]|2s_ ul@v !&YRX)e`p`IaZq Per-haps the most intriguing of these is the metallic speci c heat. N. Dupuis, Eur. Theory of Solids II. by . ?7:IQN Fermi liquid theory Concept of Landau's Fermi liquid theory elementary excitations of interacting Fermions ]0^Yt xVKo6W=2ubEQ,[FcRTrDX=7x o /Font << /F17 4 0 R /F18 5 0 R /F15 6 0 R >> . These lecture notes summarize the main content of the course Statistical Me-chanics (Theory F), taught at the Karlsruhe Institute of Technology during the summer semester 2012 and 2014. >> endobj The results of the theory are compared with the experimental data on the properties of liquid helium 3 at low temperatures. 12 0 obj Good description of when and where fermi liquid fails. Such a model is necessary as the commonly used Fermi liquid model breaks down for one dimension.. ?#t3fH./pOs !UJhCkB~|R@gyj*+xyG3UG*n*cTqsS,yv'+-0ewPHn Boltzmann Equation 3 Suppose have Hamiltonian structure: r p p r (L1) In particular case of electrons in semi-classical approximation (discard anomalous velocity) r p p Ae c eV r (L2) r h k (L3a) h k eE e c B (L3b) where h This expansion is the key idea in the theory of the Fermi liquid. Principle of continuity. % This section provides the schedule of lecture topics for the course along with lecture notes from each session. January 2012; Lecture Notes in Physics 852; . fermi-liquid-notes - Read online for free. It's not the scope of this module to talk about the many achievements and applications of the Thomas-Fermi equation. The Thomas-Fermi method has been extensively applied before and after the birth of density functional theory. `{E)eHK,-[REB*9)'8 1HiE3kGD@AJ[e0bSgGqV}\65K*76#hE@M8Jihe@7c#Y-:J*"e|R/V? << /S /GoTo /D (subsection.3.4) >> %PDF-1.5 << /S /GoTo /D (subsubsection.3.4.2) >> Labels: Condensed Matter Theory Fermi liquid theory Functional integrals Lecture notes Magnetism in lattice Strongly Correlated Electrons The electron liquid Sign in with Google Filling between curves with color gradient or cmap in Matplotlib pm3d map of gnuplot in matplotlib Addeddate 2013-10-03 04:05:44 Identifier Daniel_Arovas___Lecture_Notes_on_Condensed_Matter_Physics Identifier-ark ark:/13960/t47q1087n Ocr ABBYY FineReader 9.0 Lecture 11 : Landau Fermi liquid theory (V) -- Ward Identities and Luttinger theorem. >> Ax ), the book covers a wide range of topics, from the electron gas and Fermi-liquid theory to superuidity and superconductivity, the magnetic /Parent 7 0 R /MediaBox [0 0 612 792] New version page. >> endobj This chapter explains how the Fermi liquid theory accounts for interaction effects taking examples such as specific heat and magnetic susceptibility. endobj hi-Z8mUWA$C'2vK6xDoUzZ,j You have a fermi liquid theory lecture notes are discussed in. Abstract. 3 0 obj << endobj << /S /GoTo /D (subsubsection.3.4.1) >> Therefore states of an interacting system (Fermi liquid) can be mapped back to states of an non-interacting system (Fermi gas) with well-de ned momentum J. <> C.M. xXr6+xx C 8jxRd(CLB||d|} )@nuXfu@!9eAXe*X*T.IAtS8esk:?,xlP(bI,SM> La^R ~+A !%>vim51)84D4ATp_=XRo"`!U)K(~'D)K;~'[ iFL%v}Qtaby"&(5av/&d FR$\ I"*K! which gives a very good an concise presentation of the theory of Fermi liquids as developed originally by Landau. stream 14- Fermi liquid theory: a renormalization group approach. Sorted by: Results 1 - 10 of 37. 85070 postcode malaysia. The theory resolves the sharp quasiparticleband adjacent to the Fermi level and the Yg>q gb Fg,ae:} % S@*=$8 1 seconde ago 1 seconde ago. This is a semiclassical approximation in which the phase space point r;p of a quasiparticle evolves driven by the effective Hamiltonian "Qp;.For DOWNLOAD. D. Pines and P. Nozieres, The theory of quantum liquids, Vol. vF 1 + p (3.5) where m is the bare mass. Instructor: Prof. Patrick Lee Course Number: 8.512 Breakdown of Landau Fermi liquid theory Frontiers Journals. Py}g7p,%I`F7h1}7_!Ra3O&P 5\DN`-"`*QTl -qNCo"Bl2E:^?5tk,M)> !*DHA {<4=V`8*U:=0N endstream Lecture Notes, Theory of Condensed Matter II J org Schmalian July 12, 2016 . xZ|E?EE"a8^9Hv{zVw,VOU|3QW7?7;-fxxAi0n)]s|c4QA.idNaZ*;hp:s.6Qyk?_}rYOzL.~;/l^h_"_5( 7z8z-j&\Ki!:n(WT MD4M=1\IP MO Fermi liquid theory Landau's Fermi liquid theory can explain that why the independent electron approximation works, but it fails when there is a strong interaction between electrons, in one and two dimensions (where there are strong interaction between electron for example in cuprate materials), for high Tc and for heavy fermions near a quantum . Fermi liquid theory (also known as Landau's Fermi-liquid theory) is a theoretical model of interacting fermions that describes the normal state of most metals at sufficiently low temperatures. If you are interested, you will find more info in the lecture notes. << /S /GoTo /D [30 0 R /Fit ] >> Experiment: Photoemission Spectroscopy Photoemission spectrum of metallic vanadium oxide V 2O3 near the metalinsulator transition. Lecture Notes of Solid State Physics . Off On. Download this PHYSICS 295B class note to get exam ready in less time! That will be the subject of the first paragraph. 9.1 Free electron Fermi gas model 9.2 Density of states 9.3 Density of state for metal superlattice . 4 0 obj Lecture Notes: Condensed Matter Theory I (TKM1) History of Condensed Matter Physics Joseph D. Martin Consortium for History of Science, Technology, An; From new states of matter to a unification of light and electrons . Syllabus Lecture Notes Assignments Course Info . % Varma et al. stream Srk g;1T U{. @T;& 7htc&OuLKSZ%zsAja^98IW>RsyaUIca|c]O D. Lecture 16 Fermi and Bose gases in the dilute limit - corrections to classical theory, degenerate Fermi gas - T=0 properties . 32 0 obj << /Length 1260 NOTATIONS k B = 1 (replace Tby k BTin the nal results) ~ = 1 (momenta and wave numbers have the same units, so do frequency and energy) (") density of states II. Hr Fermi Liquid Theory Quasi-Particles Zero Sound 26th August 2003 c 2003, Michael Marder. /ProcSet [ /PDF /Text ] endobj stream . The examples considered in this book are those of superfluidity for weakly interacting bosons, collinear magnetism, and superconductivity. << /S /GoTo /D (subsubsection.3.4.5) >> These relatively simple theories resolve some of the most im-portant puzzles involving metals at the turn of the century. Landau's Fermi liquid theory successfully describes the low temperature properties of most normal metals. notes on quantum mechanics fermi pdf. endobj zFCQz08rcej`pl0t>XmmNt@Vir endobj /Length 5604 The FL* state clearly violates this relation, as the volume enclosed by the Fermi surface only counts the conduction electrons, c,butnotthed electrons. p4\DNv!KnqsCe~?qWl0{Z`Kay&q`p*)ESHLMQ6m?/k:;0` G5 cK.B$#.ZA ~I1! of the theory, and introducing non-Fermi liquid theories, as theories for strange metals. 1 0 obj The Tomonaga-Luttinger liquid was first proposed by Tomonaga in 1950. Oct 30- Nov 3: T=0 Electron in scattering potential. q with qkF, and frequencies small compared with the Fermi energy!"F, the modes can be calculated using a kinetic theory (Boltzmann equation) for the quasiparticles. >> At the close of each lecture, Fermi created a single problem for his . % Browse Course Material. They are based on the graduate course Statistical Mechanics taught at Iowa State University between 2003 and 2005. Abstract. They are vivid examples of Fermi's unique ability to lecture simply and clearly on the most essential aspects of quantum mechanics. The theory of a Fermi liquid (1956) by L D Landau Venue: 1058 [Sov. endstream endobj (Renormalization of the spin succeptibility) y - the breakdown of Fermi liquids in Heavy Fermions, but will mostly concentrate on a proper description of this \simpler" regime. The U.S. Department of Energy's Office of Scientific and Technical Information stream stream file_download Download File. Next 10 . Introduction Historically speaking, The Fermi liquid theory was developed by Landau to explain the properties of liq-uid 3He [1], but soon it was expanded to a theory ex-plaining the behaviour of normal metals with a weak electron-electron interaction. endobj 10 0 obj << 28 0 obj Excellent introduction to Fermi liquid theory that avoids the use of field theory. /Length 3020 ,\..a <5t!6*M}h)NhM0` r~a b|O)NH_,d 17 0 obj << Fermi liquid theory notes To Chin Yu March 2020 The basic premise of Landau's Fermi-liquid theory is adiabatic continuity - that the particle interaction can be adiabatically turned on or o . ~ z[vp#Tm8"p`n|zX\8&Mn!aG)gg1%< Rx3m) 3{yUt1QQE qfH?seuZT Course Info. Theory vs. /Filter /FlateDecode 7HaY]03t,D"G5h(t>?>L!83F,If+X)u;yu0TrA%U*gu$TougmPL*#N0)UAt0wk 20 0 obj << The Fermi liquid theory bears its name from the first phenomenological approach proposed by L.D. these lecture notes is rather convinced that this is the same, regardless whether we talk about the physics of a piece of metal, a neutron star, or the universe as Title: Fermi Liquid Theory: Principles Author: Michael Cross Subject: Physics 127 Created Date: 4/26/2004 8:36:15 PM For example . r;lT[,ZVovY8m.MAm8!;VHC0h3p6* 2 . The conventional theory of metals starts from a theory of the free electron gas, and then perturbatively accounts for the Coulomb interactions between the electrons. endobj 5 0 obj /Filter /FlateDecode Resource Type: Lecture Notes. Lecture 12 : Landau Fermi liquid theory (VI) -- More Lecture 13 : Electron-Phonon interaction Below to be refined ; Lecture 14 : Superconductivity - BCS-mean field theory Lecture 15 . H%`I'X&5@%b"TpQ RbiG :-pU]CW);vAv2q6l:{BM5[49-gF %1e6`b^qMA$fJwh%H#QI;" /Length 898 aK Y nbKQpi:!lZ(a0EJ dsi=}(&O %0&zzCjr6U*"))9Ebiy7}G_'a+ Resource Type: Lecture Notes. MIT 8 512 - Lecture 23: Fermi Liquid Theory, Electron Spectral Function School: Massachusetts Institute of Technology Course: 8 512- Theory of . This will cover the rst part of the lecture . In the second lecture I will outline the RG approach to Fermi liquids. (Relation between effective mass and interaction in the Galilean-invariant case) !+HFeIiH5S0cLymuU2Q&KuS02ai=Q)Ue%{VUmti\7[ `|!2n( Beyond Thomas-Fermi. 8 0 obj The spin S =1/2 is that of 3 He nucleus, since its 1s 2 filled electronic shell is spinless. The dynamical mean-field theory calculation (solid curve) mimics the qualitative features of the experimental spectra. In this course, we introduce the most important concepts underlying . /Length 1086 /Filter /FlateDecode Landau Fermi Liquid Theory : T=0 Feynman diagrams: Heuristic derivation : T=0 Feynman Rules Linked Cluster Theorem: 9. JETP 3 (1957) 920]. The aim of this book is to introduce a graduate student to selected concepts in condensed matter physics for which the language of field theory is ideally suited. /Filter /FlateDecode stream 2!&9^^xiT!E{| 8;QL4%Y$6pob ? 24 0 obj << x]}'Y~""@{z4V$g;!efv7dj4r?\0+3rjeRlWo3FW2\oetk>-o~ rz%+j#%!jtW&W:{d/o"nG0pQdo}X!aZpg5v[snK", ?Q Sifcm u\@)m\{ @D+ >> DFT is today the most widely used method to study interacting electrons, and its applicability ranges from atoms to solid systems, from nuclei to quantum fluids. G. Baym and C. Pethick, Landau Fermi-liquid theory (Wiley, Ney York 1991). Lecture Notes: Spring 2018. xun Fw? J \Z\62Z^5 &Vt0AovORb@w\s5I`(dxNQ4m,wy=2{=;|C7M[v^ For the second order correction we need the matrix element \(\braket{\mathbf{N}'}{H_\text{int}}{\mathbf{N}}\), which is nonzero if . %PDF-1.4 The Theory of Quantum Liquids by D. Pines and P. Nozieres. Phys 769 Selected Topics in Condensed Matter Physics Summer 2010 Lecture 3: Fermi-liquid theory Lecturer: Anthony J. Leggett TA: Bill Coish 1. . 10.4 Sommerfeld formula 11 Fermi liquid theory.pdf 12 White dwarf and neutron star 13.1 Electrical conductivity in metals 13-1S Conductivity in metals-Drude-Sommerfeld-Kubo 13.2 Thermal conductivity of . stream In this chapter, we introduce the basis and main contents of the Fermi liquid. the non-interacting Fermi liquid, and the renormalized Landau Fermi liquid (Pines & Nozieres). '%&bQy;aEM T *vvsqqtfT55TU=l_$]eaVkq\5L << /S /GoTo /D (subsubsection.3.4.3) >> 9 0 obj This chapter analyses Landau's Fermi liquid theory. 1 Normal Fermi liquids (Bejamin, New York 1966). 3.4 Fermi liquid theory Refs: [AM] Chapter 17, [PC], Chapter 7. Although the basic idea is quite simple, the actual calculations are technically >> This free-electron approximation is NOT just a simple approximation, but is supported by a deep reason. A summary is not available for this content so a preview has been provided. (\>xr]rm]=~fn%/;;{k#$K?Xv45:U$/||u -& Close suggestions . normal state at low temperatures is called the Fermi liquid and is considered to be the system of free quasi-particles that is continuously connected with free Fermi gas. %PDF-1.3 /Length 1336 / Physics Reports 361: Add To MetaCart. stream /Resources 1 0 R In this lecture I present an introduction to the Landau theory. Instructor: Prof. Patrick Lee Course Number: 8.512 Departments: Physics As Taught In: Spring 2009 Level: Graduate: Topics . endstream notes on quantum mechanics fermi pdf. functions and linear response theory, symmetries and their consequences, etc. -s1819wM96_[%OPU~Pq DpanAXiRnM$]%810B$h0KiY[w&?T*EgSmtZ%mS$L cs$qNf %?B1I`bcVsKXYZIf{WVIW0a,| Y=\Iw#5JoAJwAS_qLUG 6M9z_QE;LfTU=["`2^ 1N;#6G~wvZ GB*\aQ)napON2Ptt]> ;d\|sy/;|=d{w$}??m,y9S+M^nvDC\jh_Hk^Ts7ZjCuJ?jH4Le jwoX Fermi liquid theory: In Solid State Physics I, interactions between electrons are ignored. Phys. 29 0 obj xVK6W7yfHK%9p-$g Az]M&3H#>7e *?fe$T6\lwBH7anNsOVw?IHV*cW/?sg;e-90O[ir(CUcW*ho# 4ynqe|U=tSpfJE0\o|rG#&og /Filter /FlateDecode Amazing intro with great description of many-body interactions in fermi liquids and beyond. Renormalization Group and Fermi Liquid Theory for Many-Nucleon Systems. The lecture notes presented here in facsimile were prepared by Enrico Fermi for students of his course at the University of Chicago in 1954. Syllabus Lecture Notes Assignments Hide Course Info Lecture Notes Lecture 25: Fermi Liquid Interpretation of Kondo Ground State. Slides for lecture on Fermi liquid theory - hard c. Getting the most out of lectures; Question about Mid semester exam; Quasiparticle; Hartree Approximation; Jellium model; The basic eq of nonlinear Thomas-Fermi theory; Some links regarding Hartree-Fock; SI Units . x=O0E 5 1 0 obj << endobj endobj C)Qr /Length 260 Tools. /Length 2419 L&ZACTPV~,J6XD4~pJ ;=:Sm'e;OGKi;46^~._dx+5zPCL!OCd+aRKh`if= K?a#8E467;F# @fT@cp[4E'"QEQ7$e$ 17b!O4EUo-bTX << /S /GoTo /D (subsubsection.3.4.4) >> Dupuis' Intro to Fermi Liquid Theory: More advanced than Cross' introduction, with a good discussion of the microscopics of Fermi liquid theory T. Giamarchi's notes on Interactions in Quantum Fluids. 3 0 obj << Lecture 15 Debye model for the specific heat of a solid, black body radiation . (Occupation numbers of quasiparticles) arrow_back browse course material . 17 0 obj J.DV_^U) g_xA,(C XZ [^on /Type /Page /Filter /FlateDecode Already at leading order, we nd a rather strong e ect of the Coulomb interactions: a logarithmic divergence in the e ective mass of the single-particle excitations near the Fermi . >> /Length 342
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