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The physics of non-local exchange interactions in graphene sheets is studied within a $\pi$-orbital tight-binding model using a Hartree-Fock approximation and Coulomb interactions modified at short distances by lattice effects and at large…

Mesoscale and Nanoscale Physics · Physics 2011-09-01 Jeil Jung , Allan H. MacDonald

The description of the electromagnetic interaction in two-dimensional Dirac materials, such as graphene and transition-metal dichalcogenides, in which electrons move in the plane and interact via virtual photons in 3d, leads naturally to…

High Energy Physics - Theory · Physics 2021-05-26 Luis Fernández , Van Sérgio Alves , M. Gomes , Leandro O. Nascimento , Francisco Peña

Classical spin liquids are disordered magnetic phases, governed by local constraints that often give rise to flat-band ground states. When constraints take the form of a zero-divergence field within a cluster of spins, the spin liquid is…

Strongly Correlated Electrons · Physics 2026-01-30 Naïmo Davier , Ludovic D. C. Jaubert

We aim to understand how the spectrum of semi-Dirac fermions is renormalized due to long-range Coulomb electron-electron interactions at a topological Lifshitz transition, where two Dirac cones merge. At the transition, the electronic…

Mesoscale and Nanoscale Physics · Physics 2021-01-07 Valeri N. Kotov , Bruno Uchoa , Oleg P. Sushkov

We study the quantum critical phenomena emerging at the transition from triple-Weyl semimetal to band insulator, which is a topological phase transition described by the change of topological invariant. The critical point realizes a new…

Strongly Correlated Electrons · Physics 2019-05-17 Jing-Rong Wang , Guo-Zhu Liu , Chang-Jin Zhang

We calculate zero-temperature correlation functions for a model of 2D interacting electrons with short-range interactions and a square Fermi surface. The model was arrived at by mapping electronic states near a square Fermi surface with…

Strongly Correlated Electrons · Physics 2009-10-31 J. O. Fjaerestad , A. Sudbo , A. Luther

Motivated by very recent studies of Coulomb drag in grahene-BN-graphene system we develop a theory of Coulomb drag for the Fermi liquid regime, for the case when the ratio of spacer thickness $d$ to the Fermi wavelength of electrons is…

Mesoscale and Nanoscale Physics · Physics 2011-07-26 M. I. Katsnelson

We study the renormalization of the Fermi velocity by the long-range Coulomb interactions between the charge carriers in the Dirac-cone approximation for the effective low-energy description of the electronic excitations in graphene at half…

High Energy Physics - Phenomenology · Physics 2015-01-13 C. Popovici , C. S. Fischer , L. von Smekal

Using the method of continuous renormalization group around the Fermi surface, we prove that a two-dimensional jellium interacting system of Fermions at low temperature T is a Fermi liquid (analytic in the coupling constant g) for g <…

Superconductivity · Physics 2009-10-31 M. Disertori , V. Rivasseau

We calculate the chemical potential dependence of the renormalized Fermi velocity and static dielectric function for Dirac quasiparticles in graphene nonperturbatively at finite temperature. By reinterpreting the chemical potential as a…

Mesoscale and Nanoscale Physics · Physics 2018-07-04 Christian Fräßdorf , Johannes E. M. Mosig

We study the temperature dependence of the electrical resistivity of interacting two-dimensional metallic systems. We perform a numerical simulation of the nonequilibrium state based on semiclassical Boltzmann transport theory. Through our…

Strongly Correlated Electrons · Physics 2013-12-24 Jonathan M. Buhmann

We consider a model composed of Landau quasiparticle states with patched Fermi surfaces (FS) sandwiched by states with flat FS to simulate the ``cold'' spot regions in cuprates. We calculate the one particle irreducible function and the…

Superconductivity · Physics 2019-08-17 A. Ferraz , T. Saikawa , Z. Y. Weng

We derive analytical expressions for the quasiparticle lifetime tau, the effective mass m*, and the Green's function renormalization factor Z for a 2D Fermi liquid with electron-electron interaction in the presence of the Rashba spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 D. S. Saraga , Daniel Loss

Non-Fermi liquids arise when metals are subject to singular interactions mediated by soft collective modes. In the absence of well-defined quasiparticle, universal physics of non-Fermi liquids is captured by interacting field theories which…

Strongly Correlated Electrons · Physics 2018-03-23 Sung-Sik Lee

In this paper we continue our analysis of the interplay between the pairing and the non-Fermi liquid behavior in a metal for a set of quantum-critical (QC) systems with an effective dynamical electron-electron interaction $V(\Omega_m)…

Superconductivity · Physics 2021-01-27 Yi-Ming Wu , Shang-Shun Zhang , Artem Abanov , Andrey V. Chubukov

We theoretically study a charge qubit interacting with electrons in a semi-infinite 1D wire. The system displays the physics of the Fermi edge singularity. Our results generalize known results for the Fermi-edge system to the regime where…

Strongly Correlated Electrons · Physics 2013-02-25 A. Sheikhan , I. Snyman

We develop a two stage renormalization group which connects the continuum Hamiltonian for twisted bilayer graphene at length scales shorter than the moire superlattice period to the Hamiltonian for the active narrow bands only which is…

Strongly Correlated Electrons · Physics 2020-12-21 Oskar Vafek , Jian Kang

We give a brief summary of the current status of the electron many-body problem in graphene. We claim that graphene has intrinsic dielectric properties which should dress the interactions among the quasiparticles, and may explain why the…

Strongly Correlated Electrons · Physics 2012-06-07 Bruno Uchoa , James P. Reed , Yu Gan , Young Il Joe , Diego Casa , Eduardo Fradkin , Peter Abbamonte

We calculate the interaction-induced deformation of the Fermi surface in the two-dimensional Hubbard model within second order perturbation theory. Close to half-filling, interactions enhance anisotropies of the Fermi surface, but they…

Strongly Correlated Electrons · Physics 2009-10-28 Christoph J. Halboth , Walter Metzner

We discuss how one-dimensional interacting fermion systems, which in the low energy approximation are described by Luttinger liquid theory, can be reformulated as systems of weakly interacting particles with fractional charge and…

Mesoscale and Nanoscale Physics · Physics 2017-04-26 Jon Magne Leinaas