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Related papers: Quantum Coulomb gap in low dimensions

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The density of states of one-dimensional disordered electron systems with long range Coulomb interaction is studied in the weak pinning limit. The density of states is found to follow a power law with an exponent determined by localization…

Strongly Correlated Electrons · Physics 2009-11-07 Hyun C. Lee

We study a one-dimensional system of spinless electrons in the presence of a long-range Coulomb interaction (LRCI) and a random chemical potential at each site. We first present a Tomonaga-Luttinger liquid (TLL) description of the system.…

Strongly Correlated Electrons · Physics 2009-11-10 Amit Dutta , Lars Fritz , Diptiman Sen

The one-particle density of states (1P-DOS) in a system with localized electron states vanishes at the Fermi level due to the Coulomb interaction between electrons. Derivation of the Coulomb gap uses stability criteria of the ground state.…

Disordered Systems and Neural Networks · Physics 2012-04-05 A. L. Efros , Brian Skinner , B. I. Shklovskii

We found analytical solution for the time evolution of localized electron density in a system of two coupled single-level quantum dots (QDs) connected with continuous spectrum states in the presence of Coulomb interaction. This solution…

Mesoscale and Nanoscale Physics · Physics 2013-12-30 P. I. Arseev , N. S. Maslova , V. N. Mantsevich

In present work, we discuss the effect of Coulomb interaction to the dynamics of two-particle system bound in various traps. The strategy of including Coulomb interaction into the quantization condition of trapped system is discussed in a…

Nuclear Theory · Physics 2021-06-23 Peng Guo

We calculate numerically the spectrum of disordered electrons in the lowest Landau level at filling factor 1/5 using the self-consistent Hartree-Fock approximation for systems containing up to 400 flux quanta. Special attention is paid to…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Michael Backhaus , Bodo Huckestein

We study variable range hopping in the quantum Hall effect regime in the presence of a metallic gate parallel to the plane of a two-dimensional electron gas. Screening of the Coulomb interaction by the gate causes the partial ``filling'' of…

Condensed Matter · Physics 2009-10-22 I. L. Aleiner , B. I. Shklovskii

We study interaction-induced localization of electrons in an inhomogeneous quasi-one-dimensional system--a wire with two regions, one at low density and the other high. Quantum Monte Carlo techniques are used to treat the strong Coulomb…

Mesoscale and Nanoscale Physics · Physics 2011-09-02 A. D. Guclu , C. J. Umrigar , Hong Jiang , H. U. Baranger

The density of states of the disordered s-wave superconductor is calculated perturbatively. The effect of Coulomb interaction on diffusively moving electrons in the normal state has been known before, but in the superconducting state both…

Superconductivity · Physics 2019-10-03 Takanobu Jujo

In the present paper we are interested in analyzing the pairwise entanglement in quantum dots, as ququart systems, naturally described by the Fermi-Hubbard model. Using the lower bound of concurrence we show the effect of the Coulomb…

Quantum Physics · Physics 2022-09-14 Sanaa Abaach , Mustapha Faqir , Morad EL Baz

We investigate the behavior of disordered interacting electrons in the insulating regime. Our study is based on the quantum Coulomb glass model which is obtained from the classical Coulomb glass by adding hopping matrix elements between…

Disordered Systems and Neural Networks · Physics 2015-06-25 Frank Epperlein , Michael Schreiber , Thomas Vojta

We investigate the density of states (DOS) near the Fermi energy of one-dimensional spin-polarized electron systems in the quantum regime where the localization length is comparable to or larger than the inter-particle distance. The Wigner…

Condensed Matter · Physics 2009-10-28 Gun Sang Jeon , M. Y. Choi , S. -R. Eric Yang

We consider the combined influence of disorder, electron-electron interactions and quantum hopping on the properties of electronic systems in a localized phase, approaching an insulator-metal transition. The generic models in this regime…

Disordered Systems and Neural Networks · Physics 2018-07-11 Thomas Vojta , Michael Schreiber

We study the spectral statistics of interacting spinless fermions in a two-dimensional disordered lattice. Within a full quantum treatment for small few-particle-systems, we compute the low-energy many-body states numerically. While at weak…

Strongly Correlated Electrons · Physics 2009-11-10 Gabriel Vasseur , Dietmar Weinmann

Single-electron tunneling through a zero-dimensional state in an asymmetric double-barrier resonant-tunneling structure is studied. The broadening of steps in the $I$--$V$ characteristics is found to strongly depend on the polarity of the…

Mesoscale and Nanoscale Physics · Physics 2012-07-25 J. Könemann , B. Kubala , J. König , R. J. Haug

We study the anisotropic effect of the Coulomb interaction on a 1/3-filling fractional quantum Hall system by using an exact diagonalization method on small systems in torus geometry. For weak anisotropy the system remains to be an…

Strongly Correlated Electrons · Physics 2012-07-18 Hao Wang , Rajesh Narayanan , Xin Wan , Fuchun Zhang

Motivated by evidence of local electron-electron attraction in experiments on disordered insulating films, we propose a new two-component Coulomb glass model that combines strong disorder and long-range Coulomb repulsion with the additional…

Disordered Systems and Neural Networks · Physics 2013-05-30 Joe Mitchell , Anirban Gangopadhyay , Victor Galitski , Markus Mueller

We consider a system of two-dimensional electrons strongly localized by disorder. Interactions create a gap in the average tunneling density of states $\nu(E)$ at energies, E, close to the Fermi level. We derive a system of self-consistent…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Ya. M. Blanter , M. E. Raikh

We use a method of matched asymptotics to determine the energy gap of two counter-propagating, strongly interacting, quantum Hall edge states. The microscopic edge state dispersion and Coulomb interactions are used to precisely constrain…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Marcus Kollar , Subir Sachdev

We present a highly flexible computational scheme for studying correlated electrons confined by an arbitrary external potential in two-dimensional semiconductor quantum dots. The method starts by a Lagrange mesh calculation for the…

Mesoscale and Nanoscale Physics · Physics 2013-01-29 Tuukka Hiltunen , Juha Ritala , Oona Kupiainen , Topi Siro , Ari Harju
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