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The Dirac fermion in the random chiral models is studied which includes the random gauge field model and the random hopping model. We focus on a connection between continuum and lattice models to give a clear perspective for the random…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 Shinsei Ryu , Yasuhiro Hatsugai

We study the different phases in the Quantum Electrodynamics of 3D Dirac semimetals depending on the number $N$ of Dirac fermions, using renormalization group methods and the self-consistent resolution of the Schwinger-Dyson equation. We…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 J. Gonzalez

In 2004 we have shown that substantial part of conductivity in graphite is provided by holes with massless linear spectrum - Dirac Fermions that coexist with massive normal carriers - electrons. In a recent Letter [Phys. Rev. Lett. 102,…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Igor A. Luk'yanchuk , Yakov Kopelevich

Two drift-diffusion models for the quantum transport of electrons in graphene, which account for the spin degree of freedom, are derived from a spinorial Wigner equation with relaxation-time or mass- and spin-conserving matrix collision…

Mathematical Physics · Physics 2019-05-27 Nicola Zamponi , Ansgar Jüngel

We propose a minimal tight-binding model for the electronic interface layer of the LaAlO$_3$/SrTiO$_3$ heterostructure with oxygen vacancies. In this model, the effective carriers are subject to oxygen vacancy induced magnetic impurities.…

Strongly Correlated Electrons · Physics 2026-02-18 D. Jones , A. Weh , A. Östlin , D. Braak , T. Kopp , P. Seiler , U. Eckern , L. Chioncel

The dispersion curves for the electrons and holes in CsPbI$_3$ in the orthorhombic phase are calculated using the density functional theory (DFT), with the spin-orbit coupling taken into account. The effective masses of the charge carriers…

Mesoscale and Nanoscale Physics · Physics 2026-04-09 O. S. Sultanov , D. K. Loginov , I. V. Ignatiev , D. V. Pankin , M. B. Smirnov , M. S. Kuznetsova

Dirac fermions, subject to external magnetic fields and in the presence of mass orders that assume topologically nontrivial spatial textures such as domain wall and vortices, for example, bind robust midgap states at zero energy, the number…

Mesoscale and Nanoscale Physics · Physics 2025-12-15 Bitan Roy

We perform a detailed comparison of the Dirac composite fermion and the recently proposed bimetric theory for a quantum Hall Jain states near half filling. By tuning the composite Fermi liquid to the vicinity of a nematic phase transition,…

Strongly Correlated Electrons · Physics 2018-05-09 Dung Xuan Nguyen , Andrey Gromov , Dam Thanh Son

Here we report the possible signature of Dirac fermions in the magnetoresistance, Hall resistivity and magnetothermopower of LaAgSb$_2$. The opposite sign between Hall resistivity and Seebeck coefficient indicates the multiband effect.…

Mesoscale and Nanoscale Physics · Physics 2016-04-27 Kefeng Wang , C. Petrovic

Transport measurements were performed on the organic layered compound \aI3 under hydrostatic pressure. The carrier types, densities and mobilities are determined from the magneto-conductance of \aI3 . While evidence of high-mobility…

Strongly Correlated Electrons · Physics 2013-06-19 M. Monteverde , M. O. Goerbig , P. Auban-Senzier , F. Navarin , H. Henck , C. R. Pasquier , C. Mézière , P. Batail

We consider a nonlinear drift-diffusion system for multiple charged species in a porous medium in 2D and 3D with periodic microstructure. The system consists of a transport equation for the concentration of the species and Poisson's…

Analysis of PDEs · Mathematics 2022-06-16 Apratim Bhattacharya , Markus Gahn , Maria Neuss-Radu

Transport properties of disordered quantum confined helical Dirac systems are investigated in the large energy limit. As long as the 2D transport length is larger than the perimeter of the nanowire, the conductance and the Fano factor are…

Mesoscale and Nanoscale Physics · Physics 2020-02-05 Joseph Dufouleur , Emmanouil Xypakis , Bernd Büchner , Romain Giraud , Jens H. Bardarson

In conventional metals, electronic transport in a magnetic field is characterized by the motion of electrons along orbits on the Fermi surface, which usually causes an increase in the resistivity through averaging over velocities. Here we…

Mesoscale and Nanoscale Physics · Physics 2016-11-07 Maxim Breitkreiz , Philip M. R. Brydon , Carsten Timm

Solutions to the Dirac equation are constructed for a massless charged fermion in Coulomb and Aharonov--Bohm potentials in 2+1 dimensions. The Dirac Hamiltonian on this background is singular and needs a one-parameter self-adjoint…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 V. R. Khalilov , K. E. Lee

We consider the transport of electrons passing through a mesoscopic device possessing internal dynamical quantum degrees of freedom. The mutual interaction between the system and the conduction electrons contributes to the current…

Mesoscale and Nanoscale Physics · Physics 2010-07-08 Christopher Birchall , Henning Schomerus

The simplest density functional theory due to Thomas, Fermi, Dirac and Weizsacker is employed to describe the non-equilibrium thermodynamic evolution of an electron gas. The temperature effect is introduced via the Fermi-Dirac entropy,…

Quantum Physics · Physics 2015-06-25 R. Tsekov

Charge transport is a revealing probe of the quantum properties of materials. Strong interactions can blur charge carriers resulting in a poorly understood "quantum soup". Here we study the conductivity of the Fermi-Hubbard model, a testing…

Charge transport in disordered two-dimensional (2D) systems showcases a myriad of unique phenomenologies that highlight different aspects of the underlying quantum dynamics. Electrons in such systems undergo a crossover from ballistic…

Mesoscale and Nanoscale Physics · Physics 2025-11-18 H. P. Veiga , S. M. João , J. M. Alendouro Pinho , J. P. Santos Pires , J. M. Viana Parente Lopes

Three-dimensional Weyl and Dirac semimetals can support a chiral-symmetry-breaking, fully gapped, charge-density-wave order even for sufficiently weak repulsive electron-electron interactions, when placed in strong magnetic fields. In the…

Mesoscale and Nanoscale Physics · Physics 2015-12-25 Bitan Roy , Jay D. Sau

Our previous results on the nonperturbative calculations of the mean current and of the energy-momentum tensor in QED with the T-constant electric field are generalized to arbitrary dimensions. The renormalized mean values are found; the…

High Energy Physics - Theory · Physics 2012-12-24 S. P. Gavrilov , D. M. Gitman , N. Yokomizo
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