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This is a response to a recent paper by van Dongen, Uhrig, and E. M\"uller-Hartmann. We clarify the issues, which the above authors apparently did not fully appreciate, by referring to the microscopic foundations of Landau's Fermi Liquid…

强关联电子 · 物理学 2007-05-23 K. S. Bedell , J. R. Engelbrecht , K. B. Blagoev

Fermi liquid theory is used to generate the Ginzburg-Landau free energy functionals for unconventional superconductors belonging to various representations. The parameters defining the GL functional depend on Fermi surface anisotropy,…

超导电性 · 物理学 2024-06-11 J. A. Sauls

A phenomenological theory is presented for two-dimensional quantum liquids in terms of the Fermi surface geometry. It is shown that there is a one-to-one correspondence between the properties of an interacting electron system and its…

强关联电子 · 物理学 2015-06-25 Miklos Gulacsi

We study the properties of Fermi Liquids with the microscopic constraint of a local self-energy. In this case the forward scattering sum-rule imposes strong limitations on the Fermi-Liquid parameters, which rule out any Pomeranchek…

凝聚态物理 · 物理学 2009-10-22 Jan R. Engelbrecht , Kevin S. Bedell

The Luttinger Theorem, which relates the electron density to the volume of the Fermi surface in an itinerant electron system, is taken to be one of the essential features of a Fermi liquid. The microscopic derivation of this result depends…

强关联电子 · 物理学 2018-09-17 O. J. Curtin , Y. Nishikawa , A. C. Hewson , D. J. G. Crow

We study in this paper the general properties of a many body system of fermions in arbitrary dimensions assuming that the {\em momentum} of individual fermions are good quantum numbers of the system. We call these systems $k$-Fermi liquids.…

强关联电子 · 物理学 2020-01-20 Tai-Kai Ng

We show how Fermi liquid theory can be applied to ultra-cold Fermi gases, thereby expanding their "simulation" capabilities to a class of problems of interest to multiple physics sub-disciplines. We introduce procedures for measuring and…

量子气体 · 物理学 2014-11-20 Chih-Chun Chien , K. Levin

I discuss the problem of phase separation in cuprates from the point of view of the Landau theory of Fermi liquids. I calculate the rate of growth of unstable regions for the hydrodymanics and collisionless limit and, in presence of long…

凝聚态物理 · 物理学 2009-10-22 A. H. Castro Neto

Quantum criticality provides a means to understand the apparent non-Fermi liquid phenomena in correlated electron systems. How to properly describe quantum critical points in electronic systems has however been poorly understood. The issues…

强关联电子 · 物理学 2009-11-07 Qimiao Si

We show that the one-dimensional (1D) electron systems can also be described by Landau's phenomenological Fermi-liquid theory. Most of the known results derived from the Luttinger-liquid theory can be retrieved from the 1D Fermi-liquid…

强关联电子 · 物理学 2009-10-30 Yupeng Wang

We present, in this dissertation, a pedagogical review of the formalism for Fermi liquids developed in [Delacretaz et al., arXiv:220305004] that exploits an underlying algebro-geometric structure described by the group of canonical…

强关联电子 · 物理学 2023-07-07 Umang Mehta

The Marginal Fermi Liquid (MFL) hypothesis proposed by Varma et al is derived from a consistent treatment of local spinfluctuations in the Falicov-Kimball model (FKM). Within an infinite-dimensional mean-field approach, a marginal Fermi…

强关联电子 · 物理学 2008-02-03 Mukul S. Laad

There is demonstrated that an isotropic ferromagnetic Fermi liquid reveals instability of the ferromagnetic state in respect to the transversal inhomogeneous deviations of magnetization from equilibrium. The result was obtained by…

量子气体 · 物理学 2012-02-23 V. P. Mineev

Landau-Fermi liquid theory is conventionally believed to hold whenever the interacting single-particle density of states develops a $\delta$-like component at the Fermi surface, which is associated with quasiparticles. Here we show that a…

强关联电子 · 物理学 2020-10-21 Michele Fabrizio

Nonrelativistic Fermi liquids in d+1 dimensions exhibit generalized Fermi surfaces: (d-p)-dimensional submanifolds in the momentum-frequency space supporting gapless excitations. We show that the universality classes of stable Fermi…

高能物理 - 理论 · 物理学 2008-11-26 Petr Horava

Any singular deviation from Landau Fermi-liquid theory appears to lead, for arbitrarily small concentration of impurities coupling to a non-conserved quantity, to a vanishing density of states at the chemical potential and infinite…

凝聚态物理 · 物理学 2009-10-30 C. M. Varma

We develop a theory for a generic instability of a Fermi liquid in dimension d>1 against the formation of a Luttinger-liquid-like state. The density of states at the Fermi level is the order parameter for the ensuing quantum phase…

强关联电子 · 物理学 2013-10-01 T. R. Kirkpatrick , D. Belitz

Kinetic properties of a two dimensional model of fermions interacting with antiferromagnetic spin excitations near the quantum critical point (QCP) are considered. The temperature or doping are assumed to be sufficiently high, such that the…

强关联电子 · 物理学 2015-06-22 K. B. Efetov

Marginal Fermi liquid was originally introduced as a phenomenological description of the cuprates in a part of the metallic doping range which appears to be governed by fluctuations due to a quantum-critical point. An essential result due…

强关联电子 · 物理学 2009-01-24 A. Shekhter , C. M. Varma

A recent work [arXiv:2402.04639] considered the dynamical equations for ferromagnets using Onsager's irreversible thermodynamics with fundamental variables magnetization $\vec{M}$ and spin current $\vec{J}_{i}$. The resulting equations have…

介观与纳米尺度物理 · 物理学 2024-10-01 Wayne M. Saslow , Chen Sun
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