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The Kondo effect has been playing an important role in strongly correlated electon systems. The important point is that the magnetic impurity in metals is a typical example of the Fermi liquid. In the system the local spin is conserved in…

Strongly Correlated Electrons · Physics 2009-11-10 Hiroshi Kontani , Kosaku Yamada

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…

Strongly Correlated Electrons · Physics 2015-06-25 Miklos Gulacsi

The non-Fermi-liquid properties of an ultrasmall quantum dot coupled to a lead and to a quantum box are investigated. Tuning the ratio of the tunneling amplitudes to the lead and box, we find a line of two-channel Kondo fixed points for…

Strongly Correlated Electrons · Physics 2007-05-23 Frithjof B. Anders , Eran Lebanon , Avraham Schiller

We generalize Nozi\`eres' Fermi-liquid theory for the low-energy behavior of the Kondo model to that of the single-impurity Anderson model. In addition to the electrons' phase shift at the Fermi energy, the low-energy Fermi-liquid theory is…

Mesoscale and Nanoscale Physics · Physics 2015-08-26 Christophe Mora , Catalin Pascu Moca , Jan von Delft , Gergely Zarand

An intense investigation of possible non-Fermi liquid states of matter has been inspired by two of the most intriguing phenomena discovered in the past quarter century, namely high temperature superconductivity and the fractional quantum…

Strongly Correlated Electrons · Physics 2015-05-13 J. K. Jain , P. W. Anderson

Fermi liquid theory works very well in most normal metals, but is found violated in many strongly correlated electron systems, such as cuprate and heavy-fermion superconductors. A widely accepted criterion is that, the Fermi liquid theory…

Strongly Correlated Electrons · Physics 2018-11-08 Jing-Rong Wang , Guo-Zhu Liu , Chang-Jin Zhang

We consider a quantum dot with ${\cal K}{\geq} 2$ orbital levels occupied by two electrons connected to two electric terminals. The generic model is given by a multi-level Anderson Hamiltonian. The weak-coupling theory at the particle-hole…

Mesoscale and Nanoscale Physics · Physics 2018-05-04 D. B. Karki , Christophe Mora , Jan von Delft , Mikhail N. Kiselev

We study the nonlinear conductance through a quantum dot, specifically its dependence on the asymmetries in the tunnel couplings and bias voltages $V$, at low energies. Extending the microscopic Fermi-liquid theory for the Anderson impurity…

Mesoscale and Nanoscale Physics · Physics 2021-12-28 Kazuhiko Tsutsumi , Yoshimichi Teratani , Rui Sakano , Akira Oguri

We extend the Fermi liquid theory of Nozi\`eres by introducing the next-to-leading order corrections to the Fermi liquid fixed point. For a general SU(N) Kondo impurity away from half-filling, this extension is necessary to compute…

Strongly Correlated Electrons · Physics 2009-09-23 Christophe Mora

Direct-current resistivity is a key probe for the physical properties of materials. In metals, Fermi-liquid (FL) theory serves as the basis for understanding transport. A $T^2$ behavior of the resistivity is often taken as a signature of FL…

We present the microscopic Fermi liquid theory for magnetic properties and transport phenomena in interacting electron systems without inversion symmetry both in the normal state and in the superconducting state. Our argument is mainly…

Strongly Correlated Electrons · Physics 2009-11-11 Satoshi Fujimoto

By means of a specific heat ($C$) and electrical resistivity ($\varrho$) study, we give evidence of a pronounced Fermi liquid (FL) behavior with sizable mass renormalization, $m^{\ast}/m = 30$, up to unusually high temperatures $\sim$70 K…

Strongly Correlated Electrons · Physics 2019-09-04 A. Gauzzi , H. Moutaabbid , Y. Klein , G. Loupias , V. Hardy

In this report, we describe a recent development in a Fermi liquid theory for the Kondo effect in quantum dots under a finite bias voltage $V$. Applying the microscopic theory of Yamada and Yosida to a nonequilibrium steady state, we derive…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Akira Oguri

We revisit a model describing Seebeck effect on a weak link between two charge Kondo circuits, which has been proposed in the [Phys. Rev. B 97, 085403 (2018)]. We calculate the thermoelectric coefficients in the perturbation theory assuming…

Mesoscale and Nanoscale Physics · Physics 2022-10-25 T. K. T. Nguyen , M. N. Kiselev

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…

Mesoscale and Nanoscale Physics · Physics 2024-10-01 Wayne M. Saslow , Chen Sun

We develop an extension of the Landau Fermi liquid theory to systems of interacting fermions with non-trivial Berry curvature. We propose a kinetic equation and a constitutive relation for the electromagnetic current that together encode…

Strongly Correlated Electrons · Physics 2019-10-01 Jing-Yuan Chen , Dam Thanh Son

We propose a phenomenological approach to quantum liquids of particles obeying generalized statistics of a fermionic type, in the spirit of the Landau Fermi liquid theory. The approach is developed for fractional exclusion statistics. We…

Condensed Matter · Physics 2009-10-31 Serguei B. Isakov

A theory of thermal transport in a two-channel Kondo system, such as the one formed by a small quantum dot coupled to two leads and to a larger dot, is formulated. The interplay of the two screening constants allows an exploration of the…

Mesoscale and Nanoscale Physics · Physics 2011-06-27 C. P. Moca , A. Roman , D. C. Marinescu

We describe an analytical theory investigating the regime of validity of the Fermi liquid theory in interacting, via the long-range Coulomb coupling, two-dimensional Fermi systems comparing it with with the corresponding 3D systems. We find…

Strongly Correlated Electrons · Physics 2021-12-13 Sankar Das Sarma , Yunxiang Liao

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,…

Superconductivity · Physics 2024-06-11 J. A. Sauls
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