The Fermi surface and Fermi liquid properties of periodic Kondo and mixed valence systems

1982 ◽  
Vol 53 (3) ◽  
pp. 2134-2136 ◽  
Author(s):  
Richard M. Martin
Keyword(s):  
Fermi Surface ◽  
Fermi Liquid ◽  
Mixed Valence

scholarly journals Deformation of the Fermi surface of a spinless two-dimensional electron gas in presence of an anisotropic Coulomb interaction potential

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Orion Ciftja
Keyword(s):  
Fermi Surface ◽  
Coulomb Interaction ◽  
Interaction Potential ◽  
Fermi Liquid ◽  
Energy State ◽  
Electron Gas ◽  
Two Dimensional ◽  
Dimensional Electron ◽  
Two Dimensional Electron Gas ◽  
Dimensional Electron Gas

AbstractWe consider the stability of the circular Fermi surface of a two-dimensional electron gas system against an elliptical deformation induced by an anisotropic Coulomb interaction potential. We use the jellium approximation for the neutralizing background and treat the electrons as fully spin-polarized (spinless) particles with a constant isotropic (effective) mass. The anisotropic Coulomb interaction potential considered in this work is inspired from studies of two-dimensional electron gas systems in the quantum Hall regime. We use a Hartree–Fock procedure to obtain analytical results for two special Fermi liquid quantum electronic phases. The first one corresponds to a system with circular Fermi surface while the second one corresponds to a liquid anisotropic phase with a specific elliptical deformation of the Fermi surface that gives rise to the lowest possible potential energy of the system. The results obtained suggest that, for the most general situations, neither of these two Fermi liquid phases represent the lowest energy state of the system within the framework of the family of states considered in this work. The lowest energy phase is one with an optimal elliptical deformation whose specific value is determined by a complex interplay of many factors including the density of the system.

scholarly journals A Two Dimensional Fermi Liquid. Part 3: The Fermi Surface

2004 ◽  
Vol 247 (1) ◽  
pp. 113-177 ◽  
Author(s):  
Joel Feldman ◽  
Horst Kn�rrer ◽  
Eugene Trubowitz
Keyword(s):  
Fermi Surface ◽  
Fermi Liquid ◽  
Two Dimensional ◽  
Liquid Part

NON-FERMI LIQUID BEHAVIOR IN THE SINGLE-IMPURITY MIXED VALENCE PROBLEM

1995 ◽  
Vol 09 (23) ◽  
pp. 1527-1533
Author(s):  
GUANG-MING ZHANG ◽  
ZHAO-BIN SU ◽  
LU YU
Keyword(s):  
Critical Point ◽  
Fermi Liquid ◽  
Mixed Valence ◽  
Quantum Critical Point ◽  
Coulomb Interactions ◽  
Single Impurity ◽  
Liquid Behavior ◽  
New Type ◽  
Quantum Critical ◽  
Fermi Liquid Behavior

An effective Hamiltonian of the Anderson single-impurity model with finite-range Coulomb interactions is derived near a particular limit, which is analogous to the Toulouse limit of the ordinary Kondo problem, and the physical properties around the mixed valence quantum critical point are calculated. At this quantum critical point, the local moment is only partially quenched and X-ray edge singularities are exhibited. Around this point, a new type of non-Fermi liquid behavior is predicted with an extra specific heat C imp ~ T1/4 + AT ln T and spin-susceptibility χ imp ~T−3/4 + B ln T.

AN EXACTLY SOLVABLE FERMION MODEL: SPINONS, HOLONS AND A NON-FERMI LIQUID PHASE

1991 ◽  
Vol 05 (09) ◽  
pp. 643-649 ◽  
Author(s):  
G. BASKARAN
Keyword(s):  
Liquid Phase ◽  
Fermi Surface ◽  
Electron Concentration ◽  
Fermi Liquid ◽  
Low Energy ◽  
Metal Insulator Transition ◽  
Metal Insulator ◽  
Limited Region ◽  
Fermion Model ◽  
Exactly Solvable

An interacting fermion model in d-dimensions is introduced and solved exactly. Low energy excitations have complete spin-charge decoupling. The holon spectrum is gapless and exhibits a pseudo-Fermi surface. Spinons have a gap and, as in the 1-D Hubbard model, the spinons exist only in a limited region of the Brillouin Zone. As a function of electron concentration the system exhibits metal insulator transition.

scholarly journals Emergent gauge fields and the high-temperature superconductors

2016 ◽  
Vol 374 (2075) ◽  
pp. 20150248 ◽  
Author(s):  
Subir Sachdev
Keyword(s):  
Fermi Surface ◽  
Free Electron ◽  
Fermi Liquid ◽  
Degrees Of Freedom ◽  
Electron State ◽  
Cuprate Superconductors ◽  
High Temperature Superconductors ◽  
Gauge Fields ◽  
Total Density ◽  
Density Of Electrons

The quantum entanglement of many states of matter can be represented by electric and magnetic fields, much like those found in Maxwell’s theory. These fields ‘emerge’ from the quantum structure of the many-electron state, rather than being fundamental degrees of freedom of the vacuum. I review basic aspects of the theory of emergent gauge fields in insulators in an intuitive manner. In metals, Fermi liquid (FL) theory relies on adiabatic continuity from the free electron state, and its central consequence is the existence of long-lived electron-like quasi-particles around a Fermi surface enclosing a volume determined by the total density of electrons, via the Luttinger theorem. However, long-range entanglement and emergent gauge fields can also be present in metals. I focus on the ‘fractionalized Fermi liquid’ (FL*) state, which also has long-lived electron-like quasi-particles around a Fermi surface; however, the Luttinger theorem on the Fermi volume is violated, and this requires the presence of emergent gauge fields, and the associated loss of adiabatic continuity with the free electron state. Finally, I present a brief survey of some recent experiments in the hole-doped cuprate superconductors, and interpret the properties of the pseudogap regime in the framework of the FL* theory. This article is part of the themed issue ‘Unifying physics and technology in light of Maxwell's equations’.

scholarly journals Field Evolution of Quantum Critical and Heavy Fermi-Liquid Components in the Magnetization of the Mixed Valence Compound β-YbAlB4

2015 ◽  
Vol 84 (2) ◽  
pp. 024710 ◽  
Author(s):  
Yosuke Matsumoto ◽  
Kentaro Kuga ◽  
Yoshitomo Karaki ◽  
Yasuyuki Shimura ◽  
Toshiro Sakakibara ◽  
...  
Keyword(s):  
Fermi Liquid ◽  
Mixed Valence ◽  
Field Evolution ◽  
Mixed Valence Compound ◽  
Quantum Critical

Fermi-Surface Measurements of Mixed-Valence CeSn3

1981 ◽  
Vol 46 (7) ◽  
pp. 504-507 ◽  
Author(s):  
W. R. Johanson ◽  
G. W. Crabtree ◽  
A. S. Edelstein ◽  
O. D. McMasters
Keyword(s):  
Fermi Surface ◽  
Mixed Valence ◽  
Surface Measurements
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