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We study the half filled Hubbard model on a hypercubic lattice in infinite dimensions in the presence of a staggered magnetic field. An exact Ward-identity between vertex functions and self-energies is derived, that holds in any phase…

Condensed Matter · Physics 2009-10-22 Peter Kopietz

We use gauge-gravity duality to model the crossover from a conformal critical point to a confining Fermi liquid, driven by a change in fermion density. The short-distance conformal physics is represented by an anti-de Sitter geometry, which…

High Energy Physics - Theory · Physics 2011-09-22 Subir Sachdev

The Schwinger model is often used as a testbed for conceptual and numerical approaches in lattice field theory. Still, some of its rich physical properties in anisotropic volumes have not yet been explored. For the multi-flavor finite…

High Energy Physics - Lattice · Physics 2021-09-29 Ivan Hip , Jaime Fabián Nieto Castellanos , Wolfgang Bietenholz

Recent experiments support that the magic-angle graphene can be modeled by a periodic array of correlated quantum impurities, immersed in a Dirac sea. This work analytically tackles a spin-valley Anderson impurity, featuring a general…

Strongly Correlated Electrons · Physics 2026-01-27 Yi-Jie Wang , Geng-Dong Zhou , Hyunsung Jung , Seongyeon Youn , Seung-Sup B. Lee , Zhi-Da Song

We study the quantum electrodynamics of Luttinger fermions with quadratic band-crossing dispersion in three dimensions. The model can be viewed as the low-energy effective theory of a putative $U(1)$ quantum spin liquid with fermionic…

Strongly Correlated Electrons · Physics 2022-07-22 Santanu Dey , Joseph Maciejko

We consider an Anderson impurity model in which the locally correlated orbital is coupled to a host with a gapped density of states. Single-particle dynamics are studied, within a perturbative framework that includes both explicit…

Strongly Correlated Electrons · Physics 2009-02-26 Martin R. Galpin , David E. Logan

We present a class of one-dimensional generic spinless fermion lattice Hamiltonians that express quasi-Fermi liquid physics, manifesting both Luttinger and Fermi liquid features due to solely irrelevant interactions. Using infinite matrix…

Strongly Correlated Electrons · Physics 2025-10-28 Joshua D. Baktay , Adrian E. Feiguin , Julian Rincon

With the organic compound $\kappa$-(BEDT-TTF)$_2$-Cu$_2$(CN)$_3$ in mind, we consider a spin liquid system where a spinon Fermi surface is coupled to a U(1) gauge field. Using the non-equilibrium Green's function formalism, we derive the…

Strongly Correlated Electrons · Physics 2009-11-13 Cody P. Nave , Patrick A. Lee

We discuss the properties of interacting electrons on a finite chain with open boundary conditions. We extend the Haldane Luttinger liquid description to these systems and study how the presence of the boundaries modifies various…

Condensed Matter · Physics 2009-10-28 M. Fabrizio , Alexander O. Gogolin

We extend an approximation earlier developed by us for the single-impurity Anderson model to a full-size impurity solver for models of interacting electrons with multiple orbitals. The approximation is based on parquet equations simplified…

Strongly Correlated Electrons · Physics 2011-05-20 Pavel Augustinsky , Vaclav Janis

The recently introduced local moment approach (LMA) is extended to encompass single-particle dynamics and transport properties of the Anderson impurity model at finite-temperature, T. While applicable to arbitrary interaction strengths,…

Strongly Correlated Electrons · Physics 2009-11-07 David E. Logan , Nigel L. Dickens

We identify a non Fermi Liquid (NFL) class of fixed points describing the infrared behaviour of interacting chiral fermions in one dimension. The thermodynamic properties and asymptotic correlation functions are characterized by universal…

Strongly Correlated Electrons · Physics 2007-05-23 Natan Andrei , Michael R. Douglas , Andres Jerez

We investigate a Kondo lattice model with correlated conduction electrons. Within dynamical mean-field theory the model maps onto an impurity model where the host has to be determined self-consistently. This impurity model can be derived…

Strongly Correlated Electrons · Physics 2009-10-31 Tom Schork , Stefan Blawid , Jun-ichi Igarashi

We introduce a representation of electron operators as a product of a spin-carry ing fermion and of a phase variable dual to the total charge (slave quantum rotor). Based on this representation, a new method is proposed for solving…

Strongly Correlated Electrons · Physics 2009-11-07 Serge Florens , Antoine Georges

We use a bosonization approach to show that the three dimensional Coulomb interaction in coupled metallic chains leads to a Luttinger liquid for vanishing inter-chain hopping $t_{\bot}$, and to a Fermi liquid for any finite $t_{\bot}$.…

Condensed Matter · Physics 2016-08-31 Peter Kopietz , Volker Meden , Kurt Schoenhammer

We study an extended Hubbard model in the limit of infinite dimensions and its zero dimensional counterpart, a generalized asymmetric Anderson model. In the impurity model we find three kinds of mixed valence states: a) the usual strong…

Condensed Matter · Physics 2009-10-22 Qimiao Si , Gabriel Kotliar

The symmetric Anderson impurity model, with a soft-gap hybridization vanishing at the Fermi level with power law r > 0, is studied via the numerical renormalization group (NRG). Detailed comparison is made with predictions arising from the…

Strongly Correlated Electrons · Physics 2009-10-31 Ralf Bulla , Matthew T Glossop , David E Logan , Thomas Pruschke

We discuss the low-energy physics of the three-orbital Anderson impurity model with the Coulomb interaction term of the Kanamori form which has orbital SO(3) and spin SU(2) symmetry and describes systems with partially occupied $t_{2g}$…

Strongly Correlated Electrons · Physics 2017-05-05 Alen Horvat , Rok Zitko , Jernej Mravlje

Recently Lin, Balents, and Fisher have demonstrated that two-leg Hubbard ladders and armchair carbon nanotubes renormalize onto the integrable SO(8) Gross-Neveu model. We exploit this integrability to examine these systems in their doped…

Strongly Correlated Electrons · Physics 2007-05-23 R. Konik , F. Lesage , A. W. W. Ludwig , H. Saleur

We study, via bosonization, the Landau fixed point for the problem of interacting spinless fermions near the Fermi surface in dimensions higher than one. We rederive the bosonic representation of the Fermi operator and use it to find the…

Condensed Matter · Physics 2008-02-03 A. H. Castro Neto , Eduardo H. Fradkin
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