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	Fermi liquid - Wikipedia, the free encyclopedia
		In particular, the electrons in a normal metal form a Fermi liquid, as well as the atoms of liquid He-3 (He-3 is an isotope of Helium, with 2 protons, 1 neutron and 2 electrons per atom.
		The Fermi liquid is qualitatively analogous to the non-interacting Fermi-gas, in the following sense: The system's dynamics and thermodynamics at low excitation energies and temperatures may be described by substituting for the non-interacting fermions so-called quasiparticles, each of which carries the same spin, charge and momentum as the original particles.
		The quadratic terms correspond to a sort of "mean-field" interaction between quasiparticles, which is parameterized by so-called Landau Fermi liquid parameters and determines the behaviour of density oscillations (and spin-density oscillations) in the Fermi liquid.
	en.wikipedia.org /wiki/Fermi_liquid (792 words)

	Fermi liquid -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-09)
		Fermi liquid theory describes the generic physical properties which a collection of interacting (Any particle that obeys Fermi-Dirac statistics and is subject to the Pauli exclusion principle) fermions assumes (under certain conditions).
		The ((physics) the capacity of a physical system to do work; the units of energy are joules or ergs) energy of a many-particle state is not simply a sum of the single-particle energies of all occupied states.
		For a Fermi liquid, the resistance from this mechanism varies as, which is often taken as an experimental check for Fermi liquid behaviour (in addition to the linear temperature-dependence of the specific heat), although it only arises in combination with the lattice.
	www.absoluteastronomy.com /encyclopedia/F/Fe/Fermi_liquid.htm (699 words)

	Fermi liquid Article, Fermiliquid Information (Site not responding. Last check: 2007-10-09)
		In particular, the electrons in a normal metal form a Fermi liquid, aswell as the atoms of liquid He-3 (He-3 is an isotope of Helium, with 2 protons, 1 neutron and 2 electrons per atom.
		The Fermi liquid is qualitatively analogous to the non-interacting Fermi-gas, in the following sense: The system's dynamicsand thermodynamics at low excitation energies and temperatures may be described by substituting for the non-interacting fermionsso-called quasiparticles, each of which carries the same spin, charge and momentum as the original particles.
		The quadratic termscorrespond to a sort of "mean-field" interaction between quasiparticles, which is parameterized by so-called Landau Fermi liquidparameters and determines the behaviour of density oscillations (and spin-density oscillations) in the Fermi liquid.
	www.anoca.org /gas/particles/fermi_liquid.html (774 words)

	Fermi liquid - Open Encyclopedia (Site not responding. Last check: 2007-10-09)
		Instead, the change in energy for a given change $\delta n_k in occupation of states k contains terms both linear and quadratic in \delta n_k (for the$ Fermi gas, it would only be linear, $\delta n_k \epsilon_k, where \epsilon_k denotes the single-particle energies).$
		The distribution of particles (as opposed to quasiparticles) over momentum states at zero temperature still shows a discontinuous jump at the Fermi surface (as in the Fermi gas), but it does not drop from 1 to 0: the step is only of size $Z .$
		For a Fermi liquid, the resistance from this mechanism varies as $T^2, which is often taken as an experimental check for$ Fermi liquid behaviour (in addition to the linear temperature-dependence of the specific heat), although it only arises in combination with the lattice.
	open-encyclopedia.com /Fermi_liquid (754 words)

	Condensed Matter and Material
		Nowadays, the quest for departures from the conventional Fermi liquid behavior is considered one of the central topics in modern condensed matter physics.
		The general consensus is that the Fermi liquid can be more readily destroyed in low dimensions and/or in the vicinity of critical points where the fluctuations of an incipient order parameter become important.
		In one spatial dimension, the Fermi liquid theory utterly fails even for a seemingly innocuous arbitrary weak short-range repulsion between the electrons.
	www.physics.unc.edu /research/theory/nano.php (348 words)

	Fermi liquid theory (Site not responding. Last check: 2007-10-09)
		Loosely speaking, the following conditions are usually to be fulfilled in order to have a Fermi liquid: The system of interacting fermions is cooled to low-enough temperatures, the interaction between them isn't too strong and the system is translationally invariant (such that momentum is conserved).
		The distribution of particles (as opposed to quasiparticles) over momentum states at zero temperature still shows a discontinuous jump at the Fermi surface (as in the Fermi gas), but it doesn't drop from 1 to 0: the step is only of size $Z$ .
		The plot was made by her, and Iras is doing all the raising her little hand.html">hand to open it." "If only she does not use some man's hand," replied the architect had just left it, and was now approaching the two friends.
	www.termsdefined.net /fe/fermi-liquid-theory.html (1035 words)

	Read about Fermi liquid at WorldVillage Encyclopedia. Research Fermi liquid and learn about Fermi liquid here! (Site not responding. Last check: 2007-10-09)
		Fermi liquid theory describes the generic physical properties which a collection of interacting
		electrons in a normal metal form a Fermi liquid, as well as the atoms of liquid He-3 (He-3 is an
		The Fermi liquid is qualitatively analogous to the non-interacting Fermi-gas, in the following sense: The system's dynamics and thermodynamics at low excitation energies and temperatures may be described by substituting for the non-interacting fermions so-called quasiparticles, each of which carries the same
	encyclopedia.worldvillage.com /s/b/Fermi_liquid (775 words)

	luttinger
		Fermi liquid theory based on a quasi-particle picture, breaks down in one dimension because of the Peierls divergence and because of charge-spin separation.
		Fermi liquids are discussed both from a phenomenological viewpoint, in relation to microscopic approaches, and as renormalization group fixed points.
		Luttinger liquids are introduced using the bosonization formalism, and their essential differences with Fermi liquids are pointed out.
	omnis.if.ufrj.br /~moriconi/qft-condmat/luttinger.html (503 words)

	Nobel laureate Cronin edits book on Fermi’s legacy
		Physicists speak of Fermi acceleration and Fermi liquid, Fermi pressure and Fermi gas, the Fermi paradox and Fermi questions, the Fermi-Thomas model of the atom and the Fermi-Turkevich gap.
		Among Fermi’s early accomplishments was to apply quantum mechanics, which explains the behavior of atoms and subatomic particles, to the physics of solids and gases, Cronin said.
		Fermi went on to earn the Nobel Prize in 1938 for his discovery of new radioactive elements produced by the addition of neutrons to the cores of other atoms, and for the discovery of nuclear reactions brought about by slowly moving neutrons.
	chronicle.uchicago.edu /041007/fermi.shtml (750 words)

	Matthew P.A. Fisher's Research
		It is possible to (partially) classify such spin liquid phases in terms of the symmetry group of the emergent gauge theory.
		Despite the increased complexity of the algebraic spin liquids compared with their boring simple minded cousins (the topologically ordered spin liquids), the existing data on these two materials appear to be more consistent with the former class.
		This 3d spin liquid is stable to all perturbations, and supports gapped $S^z = 1/2$ spinons, a gapped topological point defect or ``magnetic'' monopole, and a gapless ``photon''.
	www.itp.ucsb.edu /~mpaf/research.html (1281 words)

	Current Projects: Maple Group - UCSD Physics
		ermi liquid (FL) theory explains how in crystals, despite interactions with each other and the crystal lattice, conduction electrons still behave as though they are free (non-interacting) particles, although quantities like their effective mass are rescaled.
		However, in the vicinity of a quantum critical point (QCP), the physical properties no longer conform to FL theory and are said to display non-Fermi liquid (NFL) behavior.
		QCPs are values of chemical concentration, pressure, or magnetic field where a second-order phase transition has been suppressed to 0 K. At low temperatures, the NFL characteristics in the physical properties take the form of weak power-law or logarithmic divergences in their temperature dependence.
	mbmlab.ucsd.edu /projects.html (530 words)

	Nuggets 4
		At low temperatures and in strong magnetic fields, the electronic carriers in these devices exhibit well-defined ``quantum'' phases---in close analogy, for example, to the solid (ice), liquid, and gas (steam) phases of water.
		Several of these phases can be beautifully mapped out by measuring a phase diagram [Figure 1(b)] at very low temperature (25 milliKelvin) as a function of two important variables: magnetic field (inversely related to the y-axis) and Coulomb repulsion energy (related to the x-axis).
		As the bilayer system is thus imbalanced, the insulating phase is destroyed, providing further evidence for a correlated bilayer electron crystal, an elusive new state of matter.
	www.princeton.edu /%7Epccm/past/Nuggets4.htm (446 words)

	APS - 2005 APS March Meeting PostDeadline - Event - APRES lineshape analysis of the Fermi liquid Sr$_2$RuO$_4$ (Site not responding. Last check: 2007-10-09)
		ARPES spectra of correlated materials, shown by other measurements to be Fermi liquids, have yet to show a linewidth that is narrower than the binding energy of the quasiparticle -- a key prediction of Fermi liquid theory.
		We find that the ARPES linewidth in Sr$_{2}$RuO$_{4}$, a correlated 2-dimensional Fermi liquid, is narrower than its binding energy, and decreases with the expected functional form as the Fermi energy is approached.
		In combination with the previously determined Fermi surface, these results give the first complete picture of a Fermi liquid via ARPES.
	meetings.aps.org /Meeting/MAR05/Event/25383 (170 words)

	Vladimir P. Mineev: On the theory of polarized Fermi liquid (Site not responding. Last check: 2007-10-09)
		The polarization dependence of both dissipative and reactive part of diffusion constant corresponds to the dependences found earlier by means of kinetic equation with a two-particle collision integral.
		It is shown that similar derivation for "ferromagnetic Fermi" liquid taking into consideration the divergency of static transverse susceptibility, also leads to the same attenuating spin wave spectrum.
		Hence, in both cases we deal in fact with spin polarized Fermi liquid but not with isotropic itinerant ferromagnet where the zero temperature attenuation is prohibited by the Goldstone theorem.
	www.hait.ac.il /jse/vol0103/p517.html (180 words)

	OSU Physics: Calendar of Events
		Quantum Geometry" of the Fermi Surface: Berry Phases are a New Ingredient in the Fermi-liquid Theory of Metals
		The intrinsic Hall conductivity is a quantum property of these two Fermi-surface geometries, given by a new formula as fundamental as the Luttinger Fermi-surface volume formula.
		An immediate experimental consequence is the resolution of the 50-year-old puzzle of the "anomalous Hall effect" in ferromagnetic metals -- an extra intrinsic dissipationless Hall current proportional to the magnetization.
	www.physics.ohio-state.edu /calendar/event.php3?id=942 (136 words)

	RG and FLT (Site not responding. Last check: 2007-10-09)
		The Fermi liquid fixed point Hamiltonian with its leading order corrections is identified and we show that the mean field calculations for this model correspond to the Landau phenomenological approach.
		This is illustrated first of all for the Kondo and Anderson models of magnetic impurities which display Fermi liquid behaviour at low temperatures.
		The parameters specifying the Fermi liquid fixed point Hamiltonian are related to the renormalized vertices appearing in the perturbation theory.
	www.ma.ic.ac.uk /~ahewson/RGFLT.html (350 words)

	Lecture 22: Strongly-Correlated Systems - Oververview - The "Luttinger Theorem" (Site not responding. Last check: 2007-10-09)
		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.
		A remarkable result proved by Luttinger is that IF the self-energy has this form, then the volume of the Fermi surface is exactly the same as a non-interacting system.
		It is useful to note [Martin, 1982] that the Luttinger sum rule on the Fermi surface in crystals is completely analogous to the Friedel sum rule for impurities, in which cases one does have exact solutions that have Fermi liquid behavior.
	www.physics.uiuc.edu /research/ElectronicStructure/598SCM-F04/lecture_outlines/lect22.html (393 words)

	Queen's University Physics Department: Colloquium
		I will show a microscopic theory of the electronic nematic Fermi liquid where the system of interacting fermions spontaneously breaks the rotational symmetry while the translational symmetry is preserved.
		A consequence of the nematic order in the context of the sound propagation and the pairing instability in the nematic state will be presented.
		I will also discuss the breakdown of the Fermi liquid theory in these types of ground states, and the theoretical studies to understand the underlying mechanism of exotic orderings and their electronic properties.
	www.physics.queensu.ca /Talks/profile.php?id=566 (152 words)

	Rigorous non-Fermi liquid type behaviour in normal phase and two spatial dimensions (P. Gurin and Zs. Gulácsi) (Site not responding. Last check: 2007-10-09)
		Continuing the study of the periodic Anderson model based on a decomposition of the Hamiltonian in positive semidefinite operators [1], we have find [2] a non-Fermi liquid type normal phase in 2D, which is a noninsulating and nonmagnetic state.
		From mathematical point of view it emerges during an exact decomposition of the 2D periodic Anderson Hamiltonian written in the direct space into a quadratic self-adjoint plaquette operator contribution in case of imaginary hybridization matrix elements (the Hamiltonian remaining hermitian).
		During excitations, quasiparticles above the Fermi level will not be present, and only the number of particles on the Fermi level increases in the detriment of the lower normal band with dispersion.
	dtp.atomki.hu /HOME-PAGE/progr2000/node41.html (259 words)

	Symmetry of Equilibrium State and Hydrodynamics Equation of a Superfluid Fermi-liquid - Begell House Inc. (Site not responding. Last check: 2007-10-09)
		Order parameter operators are written for two quantum liquids (where spontaneous breaking of symmetry takes place), and its commutation properties are considered.
		Nondissipative hydrodynamics equations are derived for all three liquids.
		The relationship connecting the densities of fluxes of additive motion integrals is obtained in the local equilibrium state.
	www.begellhouse.com /journals/0632a9d54950b268,077f185f3196d7fc,3f0702b8151d0bc4.html (113 words)

	Non-Fermi Liquid Behavior and Quantum Phase Transitions (Site not responding. Last check: 2007-10-09)
		The workshop's primary objective was to provide a status report on this rapidly developing subject.
		More specifically, the stated goal was: The workshop will address the mechanisms for non-Fermi liquid behavior in strongly correlated electron systems, with an emphasis on the extent to which the notion of quantum criticality plays a role.
		The organizers believe that, the success of these topical discussions is due in part to the focused nature of the workshop subject.
	www.lc.leidenuniv.nl /lc/web/2003/20030512/report.html (457 words)

	Rigorous Results For The One-Dimensional Fermi Liquid At Zero Temperature (ResearchIndex) (Site not responding. Last check: 2007-10-09)
		0.2: Perturbation theory for the Fermi liquids in...
		20 Perturbation theory of the Fermi surface in a quantum liquid (context) - Benfatto, Gallavotti - 1990
		1 Ward identities and the fi-function in the Luttinger liquid (context) - Di Castro, Metzner - 1991
	citeseer.ist.psu.edu /109344.html (329 words)

	Fermi liquid
		The Fermi liquid is qualitatively analogous to the non-interacting Fermi-gas, in the following sense: The system's dynamics and thermodynamics at low excitation energies and temperatures may be described by substituting for the non-interacting fermions so-called "quasi-particles", each of which carries the same spin, charge and momentum as the original particles.
		(for the Fermi gas, it would only be linear,
		For a Fermi liquid, the resistance from this mechanism varies as
	www.sciencedaily.com /encyclopedia/fermi_liquid (818 words)

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