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We study a bipartite collective spin-$1$ model with exchange interaction between the spins. The bipartite nature of the model manifests itself by the spins being divided into two equal-sized subsystems; within each subsystem the spin-spin…

Statistical Mechanics · Physics 2021-07-07 Dávid Jakab , Zoltán Zimborás

We theoretically study subgap states appearing at the interface between two three-dimensional topological insulators which have different configurations in the spin-orbit interactions from each other. The coupling of spin…

Mesoscale and Nanoscale Physics · Physics 2013-11-12 Tetsuro Habe , Yasuhiro Asano

We study the phase diagram of a model quantum spin Hall system as a function of band inversion and band-coupling strength, demonstrating that when band hybridization is weak, an interaction-induced nematic insulator state emerges over a…

Mesoscale and Nanoscale Physics · Physics 2018-05-09 Fei Xue , Allan H. MacDonald

By means of finite size exact diagonalization we theoretically study the electronic many-body effects on the nearly flat-band structure with time-reversal symmetry in a checkerboard lattice model and identify the topological nature of two…

Strongly Correlated Electrons · Physics 2014-08-12 Wei Li , D. N. Sheng , C. S. Ting , Yan Chen

We investigate the feasibility of many candidate quantum Hall states for two-component bosons in the lowest Landau level. We identify interactions for which spin-singlet incompressible states occur at filling factors $\nu=2/3$, 4/5 and 4/3,…

Strongly Correlated Electrons · Physics 2013-06-25 Ying-Hai Wu , Jainendra K. Jain

Using a combination of heat pulse and nuclear magnetic resonance techniques we demonstrate that the phase boundary separating the interlayer phase coherent quantum Hall effect at $\nu_T = 1$ in bilayer electron gases from the weakly coupled…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 I. B. Spielman , L. A. Tracy , J. P. Eisenstein , L. N. Pfeiffer , K. W. West

A self-consistent treatment of exchange and correlation interactions in a quantum wire (QW) subject to a strong perpendicular magnetic field is presented using a modified local-density approximation (MLDA). The influence of many-body…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 O. G. Balev , P. Vasilopoulos

We define a four-state Potts model ensemble on the square lattice, with the constraints that neighboring spins must have different values, and that no plaquette may contain all four states. The spin configurations may be mapped into those…

Statistical Mechanics · Physics 2012-08-27 J. K. Burton, , C. L. Henley

We study the breaking of spin symmetry for the nonlinear Hartree-Fock model describing an infinite translation-invariant interacting quantum gas (fluid phase). At zero temperature and for the Coulomb interaction in three space dimensions,…

Mathematical Physics · Physics 2019-05-30 David Gontier , Mathieu Lewin

We consider a spin-1/2 tube (a three-leg ladder with periodic boundary conditions) with a Hamiltonian given by two projection operators - one on the triangles, and the other on the square plaquettes on the side of the tube - that can be…

Strongly Correlated Electrons · Physics 2012-01-09 M. Lajko , P. Sindzingre , K. Penc

We provide numerical evidence that the ground state of a short range interaction model at $\nu=1/2$ is incompressible and spin-singlet for a wide range of repulsive interactions. Furthermore it is accurately described by a trial wave…

Condensed Matter · Physics 2009-10-22 L. Belkhir , X. G. Wu , J. K. Jain

We investigate theoretically an interacting metallic wire with a strong magnetic field directed along its length and show that it is a new and highly tunable one-dimensional system. By considering a suitable change in spatial geometry, we…

Strongly Correlated Electrons · Physics 2017-08-02 Daniel Bulmash , Chao-Ming Jian , Xiao-Liang Qi

Phase transitions between the quantum spin Hall and the insulator phases in three dimensions are studied. We find that in inversion-asymmetric systems there appears a gapless phase between the quantum spin Hall and insulator phases in three…

Mesoscale and Nanoscale Physics · Physics 2007-10-05 Shuichi Murakami

The activation gap Delta of the fractional quantum Hall state at constant filling n =1/3 is measured in wide range of perpendicular magnetic field B. Despite the full spin polarization of the incompressible ground state, we observe a sharp…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 A. F. Dethlefsen , E. Mariani , H. -P. Tranitz , W. Wegscheider , R. J. Haug

We numerically study the behavior of spin--$1/2$ fermions on a two-dimensional square lattice subject to a uniform magnetic field, where opposite spins interact via an on-site attractive interaction. Starting from the non-interacting case…

Strongly Correlated Electrons · Physics 2017-11-01 Cécile Repellin , Tarik Yefsah , Antoine Sterdyniak

We study the $S_z$-conserving quantum spin Hall insulator in the presence of Hubbard $U$ from a field theory point view. The main findings are the following. (1) For arbitrarily small U the edges possess power-law correlated…

Strongly Correlated Electrons · Physics 2013-05-29 Dung-Hai Lee

We report electronic control and measurement of an imbalance between spin-up and spin-down electrons in micron-scale open quantum dots. Spin injection and detection was achieved with quantum point contacts tuned to have spin-selective…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 E. J. Koop , B. J. van Wees , D. Reuter , A. D. Wieck , C. H. van der Wal

We consider two coupled time reversal invariant helical edge modes of the same helicity, such as would occur on two stacked quantum spin Hall insulators. In the presence of interaction, the low energy physics is described by two collective…

Mesoscale and Nanoscale Physics · Physics 2016-11-11 Raul A. Santos , D. B. Gutman , Sam T. Carr

Many topological phases host gapless boundary modes that can be dramatically modified by electronic interactions. Even for the long-studied edge modes of quantum Hall phases, forming at the boundaries of two-dimensional (2D) electron…

A quantum Hall (QH) interface is different from an ordinary QH edge, as the latter has its location determined by the confining potential, while the former can be unpinned and behave like a free string. In this paper, we demonstrate this…

Mesoscale and Nanoscale Physics · Physics 2021-09-13 Qi Li , Ken K. W. Ma , Ruojun Wang , Zi-Xiang Hu , Hao Wang , Kun Yang