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This paper considers a model consisting of a kinetic term, Rashba spin-orbit coupling and short-range Coulomb interaction at zero-temperature. The Coulomb interaction is decoupled by a mean-field approximation in the spin channel using…

Mesoscale and Nanoscale Physics · Physics 2017-11-08 Edgar Marcelino

By restricting the motion of high-mobility 2D electron gas to a network of channels with smooth confinement, we were able to trace, both classically and quantum-mechanically, the interplay of backscattering, and of the bending action of a…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 V. V. Mkhitaryan , V. Kagalovsky , M. E. Raikh

The transition between many-body localized states and the delocalized thermal states is an eigen-state phase transition at finite energy density outside the scope of conventional quantum statistical mechanics. In this work we investigate…

Strongly Correlated Electrons · Physics 2019-08-13 Wei Zhang , Ziqiang Wang

We study the phase diagram and critical properties of quantum Ising chains with long-range ferromagnetic interactions decaying in a power-law fashion with exponent $\alpha$, in regimes of direct interest for current trapped ion experiments.…

Statistical Mechanics · Physics 2021-10-13 E. Gonzalez-Lazo , M. Heyl , M. Dalmonte , A. Angelone

A study of the temperature (T) and density (n_s) dependence of conductivity \sigma(n_s,T) of a highly disordered, two-dimensional (2D) electron system in Si demonstrates scaling behavior consistent with the existence of a metal-insulator…

Disordered Systems and Neural Networks · Physics 2015-05-06 Ping V. Lin , Dragana Popović

We investigate the behavior of the periodic Anderson model in the presence of $d$-$f$ Coulomb interaction ($U_{df}$) using mean-field theory, variational calculation, and exact diagonalization of finite chains. The variational approach…

Strongly Correlated Electrons · Physics 2013-04-01 I. Hagymasi , K. Itai , J. Solyom

Transformations between the plateau states of the quantum Hall effect (QHE) are an archetypical example of quantum phase transitions (QPTs) between phases with non-trivial topological order. These transitions appear to be well-described by…

Strongly Correlated Electrons · Physics 2023-09-06 Andrey Rogachev

We study multifractal spectra of critical wave functions at the integer quantum Hall plateau transition using the Chalker-Coddington network model. Our numerical results provide important new constraints which any critical theory for the…

Mesoscale and Nanoscale Physics · Physics 2008-12-18 H. Obuse , A. R. Subramaniam , A. Furusaki , I. A. Gruzberg , A. W. W. Ludwig

Statistical properties of critical wave functions at the spin quantum Hall transition are studied both numerically and analytically (via mapping onto the classical percolation). It is shown that the index $\eta$ characterizing the decay of…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 F. Evers , A. Mildenberger , A. D. Mirlin

We investigate the role of electron-electron interaction in a two-band Hubbard model based on the Bernevig-Hughes-Zhang Hamiltonian exhibiting the quantum spin Hall (QSH) effect. By means of dynamical mean-field theory, we find that a…

Strongly Correlated Electrons · Physics 2013-06-06 Jan Carl Budich , Björn Trauzettel , Giorgio Sangiovanni

Scattering or tunneling of an electron at a potential barrier is a fundamental quantum effect. Electron-electron interactions often affect the scattering, and understanding of the interaction effect is crucial in detection of various…

Mesoscale and Nanoscale Physics · Physics 2022-11-10 Sungguen Ryu , H. -S. Sim

The longstanding problem of the Hall resistivity rho(x,y) in the Hall insulator phase is addressed using four-lead Chalker-Coddington networks. Electron interaction effects are introduced via a finite dephasing length. In the quantum…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Leonid P. Pryadko , Assa Auerbach

Anderson localization is anticipated to play a pivotal role in the manifestation of the quantum anomalous Hall effect, akin to its role in conventional quantum Hall effects. The significance of Anderson localization is particularly…

We report a new attractive critical point occurring in the Anderson localization scaling flow of symplectic models on fractals. The scaling theory of Anderson localization predicts that in disordered symplectic two-dimensional systems weak…

Mesoscale and Nanoscale Physics · Physics 2016-10-19 Doru Sticlet , Anton Akhmerov

We report on a novel non-linear electric field effect in the conductivity of disordered conductors. We find that an electric field gives rise to dephasing in the particle-hole channel, which depresses the interference effects due to…

Disordered Systems and Neural Networks · Physics 2009-10-31 M. Leadbeater , R. Raimondi , P. Schwab , C. Castellani

By treating the electron-ion interaction as perturbation in the first-principles Hamiltonian, we have calculated the density response functions of a fluid alkali metal to find an interesting charge instability due to anomalous electronic…

Strongly Correlated Electrons · Physics 2009-11-13 H. Maebashi , Y. Takada

Fundamental insight into the nature of the quantum phase transition from a superconductor to an insulator in two dimensions, or from one plateau to the next or to an insulator in quantum Hall effect, has been revealed through the study of…

Mesoscale and Nanoscale Physics · Physics 2016-09-16 Cui-Zu Chang , Weiwei Zhao , Jian Li , J. K. Jain , Chaoxing Liu , Jagadeesh. S. Moodera , Moses H. W. Chan

The nature of a metal--insulator transition tuned by external gates in quantum Hall (QH) systems with point constrictions at integer bulk filling, as reported in recent experiments of Roddaro et al. [1], is addressed. We are particularly…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Emiliano Papa , Tilo Stroh

The observation of coherent quantum transport phenomena in metals and semiconductors is limited by the eventual loss of phase coherence of the conducting electrons. We use the weak localization effect to measure the low-temperature…

Mesoscale and Nanoscale Physics · Physics 2010-08-27 M. Eshkol , E. Eisenberg , M. Karpovski , A. Palevski

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
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