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We calculate the finite temperature compressibility for two-dimensional semiconductor systems, monolayer graphene, and bilayer graphene within the Hartree-Fock approximation. We find that the calculated temperature dependent compressibility…

Mesoscale and Nanoscale Physics · Physics 2011-12-02 Qiuzi Li , E. H. Hwang , S. Das Sarma

We develop a theory for electron-electron interaction-induced many-body effects in three dimensional (3D) Weyl or Dirac semimetals, including interaction corrections to the polarizability, electron self-energy, and vertex function, up to…

Mesoscale and Nanoscale Physics · Physics 2015-09-07 Robert E. Throckmorton , Johannes Hofmann , Edwin Barnes , S. Das Sarma

The widely used thermal Hartree-Fock (HF) theory is generalized to include the effect of electron correlation while maintaining its quasi-independent-particle framework. An electron-correlated internal energy (or grand potential) is…

Statistical Mechanics · Physics 2024-08-22 So Hirata

In this work, we present a semi-analytical expression for the temperature dependence of a spin-resolved dynamical density-density response function of massless Dirac fermions within the Random Phase Approximation. This result is crucial in…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 A. Faridi , M. Pashangpour , Reza Asgari

We consider theoretically as a function of temperature the plasmon mode arising in three-dimensional Dirac liquids, i.e., systems with linear chiral relativistic single-particle dispersion, within the random phase approximation. We find…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Johannes Hofmann , S. Das Sarma

We theoretically investigate the temperature-dependent static susceptibility and long-range magnetic coupling of three-dimensional (3D) chiral gapless electron-hole systems (semimetals) with arbitrary band dispersion [i.e., $\varepsilon(k)…

Mesoscale and Nanoscale Physics · Physics 2018-08-30 Sanghyun Park , Hongki Min , E. H. Hwang , S. Das Sarma

A theory is developed for the density and temperature dependent carrier conductivity in doped three-dimensional (3D) Dirac materials focusing on resistive scattering from screened Coulomb disorder due to random charged impurities (e.g.,…

Mesoscale and Nanoscale Physics · Physics 2015-01-20 S. Das Sarma , E. H. Hwang , Hongki Min

We study theoretically the properties of the interacting Dirac liquid, a novel three-dimensional many-body system which was recently experimentally realized and in which the electrons have a chiral linear relativistic dispersion and a…

Mesoscale and Nanoscale Physics · Physics 2015-07-07 Johannes Hofmann , Edwin Barnes , S. Das Sarma

We study the statistics of quasiparticle and quasihole levels in small interacting disordered systems within the Hartree-Fock approximation. The distribution of the inverse compressibility, given according to Koopmans' theorem by the…

Mesoscale and Nanoscale Physics · Physics 2008-12-18 Shimon Levit , Dror Orgad

We report systematic theoretical studies of the inverse Faraday effect in materials with massless Dirac fermions, both in two dimensions such as graphene and surface states in topological insulators, and in three dimensions such as Dirac…

Mesoscale and Nanoscale Physics · Physics 2020-05-27 I. D. Tokman , Qianfan Chen , I. A. Shereshevsky , V. I. Pozdnyakova , Ivan Oladyshkin , Mikhail Tokman , Alexey Belyanin

The thermoelectric effect in a two-dimensional (2D) massless Dirac fermion (DF) system at the quantum limit is discussed to verify the prediction of high-performance thermopower in an organic conductor \alpha-(BEDT-TTF)2I3. Because of…

Strongly Correlated Electrons · Physics 2021-10-08 Toshihito Osada

The intrinsically superconducting Dirac semimetal 2M-WS$_{2}$ is a promising candidate to realize proximity-induced topological superconductivity in its protected surface states. A precise characterization of the bulk superconducting state…

We study the Kondo effect in three-dimensional (3D) Dirac materials and Weyl semimetals. We find the scaling of the Kondo temperature with respect to the doping $n$ and the coupling $J$ between the moment of the magnetic impurity and the…

Mesoscale and Nanoscale Physics · Physics 2015-07-13 Alessandro Principi , Giovanni Vignale , Enrico Rossi

Breaking time-reversal symmetry in a Dirac semimetal Cd$_3$As$_2$ through doping with magnetic ions or by the magnetic proximity effect is expected to cause a transition to other topological phases (such as a Weyl semimetal). To this end,…

We calculate the thermoelectric response coefficients of three-dimensional Dirac or Weyl semimetals as a function of magnetic field, temperature, and Fermi energy. We focus in particular on the thermoelectric Hall coefficient $\alpha_{xy}$…

Strongly Correlated Electrons · Physics 2019-04-15 Vladyslav Kozii , Brian Skinner , Liang Fu

We have derived algebraic, analytic expressions for the chemical potential without any restriction on temperature for all types of doped, or extrinsic, gapped Dirac cone materials including gapped graphene, silicene, germanene and…

Mesoscale and Nanoscale Physics · Physics 2017-07-28 Andrii Iurov , Godfrey Gumbs , Danhong Huang , Ganesh Balakrishnan

We investigate the quasi-particle and transport properties of a model describing interacting Dirac and Weyl semimetals in the presence of local Hubbard repulsion $U$, where we explicitly include a deviation from the linearity of the…

Strongly Correlated Electrons · Physics 2025-03-18 Arianna Poli , Niklas Wagner , Max Fischer , Alessandro Toschi , Giorgio Sangiovanni , Sergio Ciuchi

We investigate the effect of weak disorder on the superfluid properties of two-component quasi-two-dimensional dipolar Fermi gases. The dipole-dipole interaction amplitude is momentum dependent, which violates the Anderson theorem claiming…

Quantum Gases · Physics 2024-02-08 V. Y. Pinchenkova , S. I. Matveenko , V. I. Yudson , G. V. Shlyapnikov

We calculate analytically the effective mass and the quasiparticle renormalization factor in an electron liquid with long-range Coulomb interactions between electrons in two and three dimensions in the leading order density expansion. We…

Strongly Correlated Electrons · Physics 2009-11-10 Victor Galitski , S. Das Sarma

Dirac semimetals have attracted a great deal of current interest due to their potential applications in topological quantum computing, low-energy electronic applications, and single photon detection in the microwave frequency range. Herein…

Mesoscale and Nanoscale Physics · Physics 2022-07-28 W. Yu , D. X. Rademacher , N. R. Valdez , M. A. Rodriguez , T. M. Nenoff , W. Pan
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