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Time-reversal symmetric topological insulator is a novel state of matter that a bulk-insulating state carries dissipationless spin transport along the surfaces, embedded by the $Z_2$ topological invariant. In the noninteracting limit, this…

Strongly Correlated Electrons · Physics 2015-03-12 Hsin-Hua Lai , Hsiang-Hsuan Hung

We investigate a quantum Heisenberg model with both antiferromagnetic and disordered nearest-neighbor couplings. We use an extended dynamical mean-field approach, which reduces the lattice problem to a self-consistent local impurity problem…

Disordered Systems and Neural Networks · Physics 2009-11-13 S. Burdin , D. R. Grempel , M. Grilli

We present a theoretical study of elastic spin-dependent electron scattering caused by a charged impurity in the vicinity of a two-dimensional electron gas. We find that the symmetry properties of the spin-dependent differential scattering…

Mesoscale and Nanoscale Physics · Physics 2009-01-05 A. Pályi , J. Cserti

While the quantum spin Hall effect leverages two-dimensional topological states to manipulate spin without dissipation, layertonics extends this paradigm to three dimension by enabling control over the layer degree of freedom. Topological…

Mesoscale and Nanoscale Physics · Physics 2025-07-25 Jiaojiao Zhou , Hong Hu , Jiangying Yu , Lin Xu , Shu-guang Cheng , Hua Jiang

We investigate the statistical properties of the scattering matrix $S$ describing the electron transport through quasi-one dimensional disordered systems. For weak disorder (metallic regime), the energy dependence of the phase shifts of $S$…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 E. R. Mucciolo , R. A. Jalabert , J. -L. Pichard

Localization problem of electronic states in a two-dimensional quantum spin Hall system (QSH - a symplectic model with a non-trivial topological structure) is studied by the transfer matrix method. The phase diagram in the plane of energy…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Masaru Onoda , Yshai Avishai , Naoto Nagaosa

The transversal propagation of the edge states in a two-dimensional quantum spin Hall system are classified by decay characteristic quantity $\lambda$. Two different modes of the helical edge states exhibit distinct behaviors. The…

Mesoscale and Nanoscale Physics · Physics 2012-05-08 Feng Lu , Yuan Zhou , Jin An , Chang-De Gong

Effects of electron correlations on a two dimensional quantum spin Hall (QSH) system are studied. We examine possible phases of a generalized Hubbard model on a bilayer honeycomb lattice with a spin-orbit coupling and short range…

Strongly Correlated Electrons · Physics 2008-09-15 Michael W. Young , Sung-Sik Lee , Catherine Kallin

We study the effects of spin orbit interactions on the low energy electronic structure of a single plane of graphene. We find that in an experimentally accessible low temperature regime the symmetry allowed spin orbit potential converts…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 C. L. Kane , E. J. Mele

The directed network model describing chiral edge states on the surface of a cylindrical 3D quantum Hall system is known to map to a one-dimensional quantum ferromagnetic spin chain. Using the spin wave expansion for this chain, we…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Ilya A. Gruzberg , N. Read , Subir Sachdev

We investigate the emergence of both quantum anomalous Hall and disorder-induced Anderson Chern insulating phases in two dimensional hexagonal lattices, with antiferromagnetically ordered 3Q state and in the absence of spin-orbit coupling.…

Mesoscale and Nanoscale Physics · Physics 2019-11-06 Papa Bireme Ndiaye , Adel Abbout , Aurelien Manchon

We investigate low-energy properties of two-dimensional quantum spin systems with the ladder and plaquette structures, which are described by a generalized antiferromagnetic Heisenberg model with both of the bond and spin alternations. By…

Strongly Correlated Electrons · Physics 2009-10-31 A. Koga , S. Kumada , N. Kawakami

We demonstrate that electrostatic interactions between helical electrons at the edge of a quantum spin Hall insulator and a dynamical impurity can induce quasi-elastic backscattering. Modelling the impurity as a two-level system, we show…

Mesoscale and Nanoscale Physics · Physics 2021-07-07 Max McGinley , Nigel R. Cooper

We propose an optical counterpart of the quantum spin Hall (QSH) effect in a two-dimensional photonic crystal composed of a gyrotropic medium exhibiting both gyroelectric and gyromagnetic properties simultaneously. Such QSH effect shows…

The $su(2)$ coherent-state path-integral technique is employed to study lattice electrons strongly coupled to a quantum spin background. In the large-spin limit it is replaced with its classical counterpart that breaks the time-reversal…

Strongly Correlated Electrons · Physics 2023-04-28 Kaushal K. Kesharpu , Evgenii A. Kochetov , Alvaro Ferraz

We study transport properties and topological phase transition in two-dimensional interacting disordered systems. Within dynamical mean-field theory, we derive the Hall conductance, which is quantized and serves as a topological invariant…

Disordered Systems and Neural Networks · Physics 2019-03-27 Jun-Hui Zheng , Tao Qin , Walter Hofstetter

Nonreciprocity of spin wave propagation is a well-known consequence of antisymmetric exchange contributions possible in magnetic spin systems that lack inversion symmetry. In this case, it is possible for the energy of a state to depend on…

Strongly Correlated Electrons · Physics 2019-09-06 Benjamin W. Zingsem , Michael Farle , Robert L. Stamps , Robert E. Camley

We study the properties of the "spin quantum Hall fluid" - a novel spin phase with quantized spin Hall conductance that is potentially realizable in superconducting systems with unconventional pairing symmetry. A simple realization is…

Superconductivity · Physics 2009-10-31 T. Senthil , J. B. Marston , Matthew P. A. Fisher

When phonons couple to fermions in 2D semimetals, the interaction may turn the system into an insulator. There are several insulating phases in which the time reversal and the sublattice symmetries are spontaneously broken. Examples are…

Strongly Correlated Electrons · Physics 2021-05-12 Andreas Sinner , Klaus Ziegler

We study electron transport at the edge of a generic disordered two-dimensional topological insulator, where some channels are topologically protected from backscattering. Assuming the total number of channels is large, we consider the edge…

Mesoscale and Nanoscale Physics · Physics 2016-03-08 E. Khalaf , M. A. Skvortsov , P. M. Ostrovsky
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