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We theoretically investigate the spectral properties and the spatial dependence of the local density of states (LDoS) in disordered two-dimensional electron gases (2DEG) in the quantum Hall regime, taking into account the combined presence…

Mesoscale and Nanoscale Physics · Physics 2013-12-25 Daniel Hernangomez-Perez , Jascha Ulrich , Serge Florens , Thierry Champel

The conductance in two-dimensional (2D) normal-superconducting (NS) systems is analyzed in the limit of strong magnetic fields when the transport is mediated by the electron-hole states bound to the sample edges and NS interface, i.e., in…

Superconductivity · Physics 2010-08-03 I. M. Khaymovich , N. M. Chtchelkatchev , I. A. Shereshevskii , A. S. Mel'nikov

Connections between the electron eigenstates and conductivity of one-dimensional disordered electron systems is studied in the framework of the tight-binding model. We show that for weak disorder only part of the states exhibit resonant…

Mesoscale and Nanoscale Physics · Physics 2016-07-27 A. Eisenbach , Y. Bliokh , V. Freilkher , M. Kaveh , R. Berkovits

The quantum Hall effect in the three-dimensional anisotropic tight-binding electrons is investigated in the field-induced spin density wave phases with a magnetic field tilted to any direction. The Hall conductivity, $\sigma_{xy}$ and…

Condensed Matter · Physics 2009-10-22 Yasumasa Hasegawa

The anomalous Hall effect is investigated theoretically by means of density functional calculations for the non-collinear antiferromagnetic order of the hexagonal compounds Mn$_3$Ge and Mn$_3$Sn using various planar triangular magnetic…

Materials Science · Physics 2015-06-23 Juergen Kübler , Claudia Felser

A decade of intense research on two-dimensional (2D) atomic crystals has revealed that their properties can differ greatly from those of the parent compound. These differences are governed by changes in the band structure due to quantum…

Drawing on the connection with superconductivity, we give a simple AdS realization of the quantum Hall effect. The theory includes a statistical gauge field with a Chern-Simons term, in analogy with effective field theory models of the QHE.

High Energy Physics - Theory · Physics 2009-12-07 Esko Keski-Vakkuri , Per Kraus

Non-universal correlations due to localization are observed in statistical properties of experimental eigenfunctions of quantum chaotic and disordered microwave cavities. Varying energy {E} and mean free path {l} enable us to experimentally…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Prabhakar Pradhan , S. Sridhar

When we consider charged AdS black holes in higher dimensional spacetime and a molecule number density along coexistence curves is numerically extended to higher dimensional cases. It is found that a number density difference of a small and…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Chong Oh Lee

Spectral weights and current-voltage characteristics of an artificial diatomic molecule are calculated, considering cases where the dots connected in series are in general different. The spectral weights allow us to understand the effects…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 F. Ramirez , E. Cota , S. E. Ulloa

We derive the effective field theory from the microscopic Hamiltonian of interacting two-dimensional (pseudo) Dirac electrons by performing a statistic gauge transformation. The quantized Hall conductance are expected to be…

Mesoscale and Nanoscale Physics · Physics 2011-09-02 Huabi Zeng

We study numerically the edge magnetoconductance of a quantum spin Hall insulator in the presence of quenched nonmagnetic disorder. For a finite magnetic field B and disorder strength W on the order of the bulk gap E_g, the conductance…

Mesoscale and Nanoscale Physics · Physics 2010-10-08 Joseph Maciejko , Xiao-Liang Qi , Shou-Cheng Zhang

The spectrum and the eigenstates of a finite 2D tight-binding electronic system, with Dirichlet boundary conditions, in magnetic field and external linear potential are studied. The eigenstates show an equipotential character and may cross…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 A. Aldea , P. Gartner , A. Manolescu , M. Nita

Dynamical correlations of various local operators are studied in the spin-half two-channel Kondo (2CK) model in the presence of channel anisotropy or external magnetic field. A conformal field theory-based scaling approach is used to…

Strongly Correlated Electrons · Physics 2009-11-13 A. I. Toth , G. Zarand

We develop a theory of charge transport along the quantum Hall edge proximitized by a "dirty" superconductor. Disorder randomizes the Andreev reflection rendering the conductance of a proximitized segment a stochastic quantity with zero…

Mesoscale and Nanoscale Physics · Physics 2023-05-17 Vladislav D. Kurilovich , Zachary M. Raines , Leonid I. Glazman

We suggest a procedure for calculating correlation functions of the local densities of states (DOS) at the plateau transitions in the Integer Quantum Hall effect (IQHE). We argue that their correlation functions are appropriately described…

Condensed Matter · Physics 2019-08-17 M. J. Bhaseen , I. I. Kogan , O. A. Soloviev , N. Taniguchi , A. Tsvelik

The AdS/CFT correspondence has developed over the last years into a very useful and powerful tool for studying strongly coupled field theories at finite temperature and density. Of particular interest is the regime of near equilibrium real…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Karl Landsteiner

We study a disordered weakly-coupled superconductor around the Anderson transition by solving numerically the Bogoliubov-de Gennes (BdG) equations in a three dimensional lattice of size up to $20\times20\times20$ in the presence of a random…

Superconductivity · Physics 2020-11-18 Bo Fan , Antonio M. García-García

The quantum anomalous Hall system with Chern number 2 can be destroyed by sufficiently strong disorder. During its process towards localization, it was found that the electronic states will be directly localized to an Anderson insulator…

Mesoscale and Nanoscale Physics · Physics 2016-01-12 Zhi-Gang Song , Yan-Yang Zhang , Jun-Tao Song , Shu-Shen Li

The thermodynamic potential of an ideal nonrelativistic gas of two-dimensional electrons in crossed uniform magnetic and electric fields is constructed. For low temperatures and very weak electric fields, it is shown that the Hall…

Condensed Matter · Physics 2007-05-23 Choon-Lin Ho , V. R. Khalilov , Chi Yang