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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

The formalism of the continuum random-phase approximation theory which treats, without ap- proximations, the continuum part of the single-particle spectrum, is extended to describe charge- exchange excitations. Our approach is…

Nuclear Theory · Physics 2016-04-05 V. De Donno , G. Co' , M. Anguiano , A. M. Lallena

We present a strategy for mapping the dynamics of a fermionic quantum system to a set of classical dynamical variables. The approach is based on imposing the correspondence relation between the commutator and the Poisson bracket, preserving…

Quantum Physics · Physics 2020-09-29 Amikam Levy , Wenjie Dou , Eran Rabani , David T. Limmer

We propose a device for studying the Fermi-Hubbard model with long-range Coulomb interactions using an array of quantum dots defined in a semiconductor two-dimensional electron gas system. Bands with energies above the lowest energy band…

Quantum Physics · Physics 2009-11-13 Tim Byrnes , Na Young Kim , Kenichiro Kusudo , Yoshihisa Yamamoto

We study a system composed of fermions (electrons), hopping on a square lattice, and of immobile particles (ions), that is described by the spinless Falicov-Kimball Hamiltonian augmented by a next-nearest-neighbor attractive interaction…

Strongly Correlated Electrons · Physics 2009-11-10 Volodymyr Derzhko , Janusz Jedrzejewski

We investigate an extended version of the periodic Anderson model (the so-called periodic Anderson-Hubbard model) with the aim to understand the role of interaction between conduction electrons in the formation of the heavy-fermion and…

Strongly Correlated Electrons · Physics 2013-05-30 I. Hagymasi , K. Itai , J. Solyom

The ground state of the Hubbard model with nearest-neighbor hopping on the square lattice at half filling is known to be that of an antiferromagnetic (AFM) band insulator for any on-site repulsion. At finite temperature, the absence of…

Strongly Correlated Electrons · Physics 2020-02-04 Fedor Šimkovic , J. P. F. LeBlanc , Aaram J. Kim , Youjin Deng , N. V. Prokof'ev , B. V. Svistunov , Evgeny Kozik

We report an unconventional temperature dependence of the resistivity in several strongly correlated systems approaching a localized to itinerant electronic transition from the itinerant electron side. The observed resistivity, proportioanl…

Strongly Correlated Electrons · Physics 2009-11-10 F. Rivadulla , J. -S. Zhou , J. B. Goodenough

While the Hubbard model is the standard model to study Mott metal-insulator transitions, it is still unclear to which extent it can describe metal-insulator transitions in real solids, where non-local Coulomb interactions are always…

Strongly Correlated Electrons · Physics 2018-04-25 M. Schüler , E. G. C. P. van Loon , M. I. Katsnelson , T. O. Wehling

Recent achievements in experiments with cold fermionic atoms indicate the potential for developing novel superconducting devices which may be operated in a wide range of regimes, at a level of precision previously not available. Unlike…

Strongly Correlated Electrons · Physics 2007-12-24 Razvan Teodorescu

The title material has a quasi-one-dimensional electronic structure and is of considerable interest because it has a metallic phase with properties different from a simple Fermi liquid, a poorly understood "insulating" phase, and a…

Strongly Correlated Electrons · Physics 2015-06-04 Jaime Merino , Ross H. McKenzie

One-band Hubbard model with transverse anisotropy is considered at density of electrons $n=0.4$. It is shown that when the anisotropy is appropriately chosen, the ground state is ferromagnetic with magnetic order perpendicular to the…

Strongly Correlated Electrons · Physics 2012-07-09 Naoum Karchev

A method for the calculation of translationally invariant wave functions for systems of identical fermions with arbitrary potential of pair interaction is developed. It is based on the well-known result that the essential dynamic part of…

We propose a new low-energy theory for itinerant fermions near a ferromagnetic quantum critical point. We show that the full low-energy model includes, in addition to conventional interaction via spin fluctuations, another type of…

Strongly Correlated Electrons · Physics 2015-05-14 Andrey V. Chubukov , Dmitrii L. Maslov

An approximate partition functional is derived for the infinite-dimensional Hubbard model. This functional naturally includes the exact solution of the Falicov-Kimball model as a special case, and is exact in the uncorrelated and atomic…

Condensed Matter · Physics 2009-10-22 Y. M. Li , N. d'Ambrumenil

We present a formalism for strongly correlated electrons systems which consists in a local approximation of the dynamical three-leg interaction vertex. This vertex is self-consistently computed with a quantum impurity model with dynamical…

Strongly Correlated Electrons · Physics 2016-04-01 Thomas Ayral , Olivier Parcollet

Both algebras, Clifford and Grassmann, offer "basis vectors" for describing the internal degrees of freedom of fermions. The oddness of the "basis vectors", transferred to the creation operators, which are tensor products of the finite…

General Physics · Physics 2020-12-16 N. S. Mankoc Borstnik , H. B. F. Nielsen

We analyze the breakdown of Fermi-liquid behavior within the 2D Hubbard model as function of doping using our recently developed numerical method for the self consistent summation of bubble and ladder diagrams. For larger doping…

Condensed Matter · Physics 2009-10-28 M. Langer , J. Schmalian , S. Grabowski , K. H. Bennemann

We provide a framework for analyzing the problem of interacting electrons in a ballistic quantum dot with chaotic boundary conditions within an energy $E_T$ (the Thouless energy) of the Fermi energy. Within this window we show that the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Ganpathy Murthy , R. Shankar , Damir Herman , Harsh Mathur

A combination of small-cluster exact-diagonalization calculations and a well-controlled approximative method is used to study the ground-state phase diagram of the spin-one-half Falicov-Kimball model extended by the spin-dependent on-site…

Strongly Correlated Electrons · Physics 2009-11-11 Pavol Farkasovsky , Hana Cencarikova