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We propose a scheme to realize a new Z_2 topological insulator in a square optical lattice. Different from the conventional topological insulator protected by the time-reversal symmetry, here, the optical lattice possesses a novel hidden…

Quantum Gases · Physics 2016-06-22 Jing-Min Hou , Wei Chen

We investigate the interplay between topological effects and Mott physics in two dimensions on a graphene-like lattice, via a tight-binding model containing an anisotropic spin-orbit coupling on the next-nearest-neighbour links and the…

Strongly Correlated Electrons · Physics 2015-06-16 Tianhan Liu , Benoît Douçot , Karyn Le Hur

We study the spin conductivity of the bulk states of three-dimensional topological insulators within Kubo formalism. Spin Hall effect is the generation of the spin current that is perpendicular to the applied voltage. In the case of a…

Mesoscale and Nanoscale Physics · Physics 2021-01-01 R. S. Akzyanov

The effect of spin-orbit interaction on electron transport properties of a cross-junction structure is studied. It is shown that it results in spin polarization of left and right outgoing electron waves. Consequently, incoming electron wave…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 E. N. Bulgakov , K. N. Pichugin , A. F. Sadreev , P. Středa , P. Šeba

A single two-dimensional Dirac cone with a mass gap produces a quantized (spin-) Hall step in the absence of magnetic field. What happens in strong electric fields? This question is investigated by analyzing time evolution and dynamics of…

Mesoscale and Nanoscale Physics · Physics 2011-02-21 Balázs Dóra , Roderich Moessner

The quantum spin Hall effect has been observed in topological insulators using spin-orbit coupling as the probe, but it has not yet been observed in a metal. An experiment is proposed to measure the quantum spin Hall effect of an electron…

Mesoscale and Nanoscale Physics · Physics 2022-10-21 Aiying Zhao , Qiang Gu , Timothy J. Haugan , Thomas J. Bullard , Richard A. Klemm

Here, we elaborate on and develop the geometrical approach introduced in K. Le Hur, Physics Reports 1104 1-42 (2025) between the magnetic monopole created from a radial field, quantum physics and topological lattice models through quantum…

Mesoscale and Nanoscale Physics · Physics 2026-01-29 Karyn Le Hur , Andrea Baldanza

We investigate spin transport in 2-dimensional insulators, with the long-term goal of establishing whether any of the transport coefficients corresponds to the Fu-Kane-Mele index which characterizes 2d time-reversal-symmetric topological…

Mathematical Physics · Physics 2019-09-09 Giovanna Marcelli , Gianluca Panati , Clément Tauber

Spin Hall effects are a collection of phenomena, resulting from spin-orbit coupling, in which an electrical current flowing through a sample can lead to spin transport in a perpendicular direction and spin accumulation at lateral…

Mesoscale and Nanoscale Physics · Physics 2007-09-18 Hans-Andreas Engel , Emmanuel I. Rashba , Bertrand I. Halperin

We study the combined effects of lattice deformation, e-e interaction and spin-orbit coupling in a two-dimensional (2D) honeycomb lattice. We adopt different kinds of hopping modulation--generalized dimerization and a Kekule distortion--and…

Strongly Correlated Electrons · Physics 2015-03-09 F. Grandi , F. Manghi , O. Corradini , C. M. Bertoni

An extension of Drude model is proposed that accounts for spin and spin-orbit interaction of charge carriers. Spin currents appear due to combined action of the external electric field, crystal field and scattering of charge carriers. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Eugene M. Chudnovsky

At low temperatures, the thermal conductivity of spin excitations in a magnetic insulator can exceed that of phonons. However, because they are charge neutral, the spin waves are not expected to display a thermal Hall effect in a magnetic…

Strongly Correlated Electrons · Physics 2015-09-09 Max Hirschberger , Robin Chisnell , Young S. Lee , N. P. Ong

We theoretically study the topological properties of the tight-binding model on the breathing kagome lattice with antisymmetric spin-orbit coupling (SOC) between nearest neighbors. We show that the system hosts nontrivial topological phases…

Mesoscale and Nanoscale Physics · Physics 2019-04-29 Adrien Bolens , Naoto Nagaosa

We study the spin relaxation (SR) of a two-dimensional electron gas (2DEG) in the quantized Hall regime and discuss the role of spatial inhomogeneity effects on the relaxation. The results are obtained for small filling factors ($\nu\ll 1$)…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 S. Dickmann

We present an exact derivation for non-commuting coordinates induced by the SU(2) transformation used to diagonalize the spin-orbit hamiltonian in two dimension.As a result an exact non-dissipative Hall current less sensitive to disorder…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. Schmeltzer

The quantum spin Hall (QSH) effect has attracted extensive research interest because of the potential applications in spintronics and quantum computing, which is attributable to two conducting edge channels with opposite spin polarization…

Recently Azaria et al have studied strips of the Kagome-lattice in the weak-coupling limit, where they consist of two spin-half chains on the outside weakly coupled to an array of half-integer spins in the middle. Using a number of mappings…

Condensed Matter · Physics 2009-10-31 Swapan K. Pati , Rajiv R. P. Singh

A strong coupling between the electron spin and its motion is one of the prerequisites of spin-based data storage and electronics. A major obstacle is to find spin-orbit coupled materials where the electron spin can be probed and…

Mesoscale and Nanoscale Physics · Physics 2015-12-11 Christoph Kastl , Paul Seifert , Xiaoyue He , Kehui Wu , Yongqing Li , Alexander Holleitner

It is widely accepted that topological quantities are useful to describe quantum liquids in low dimensions. The (spin) Hall conductances are typical examples. They are expressed by the Chern numbers, which are topological invariants given…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Y. Hatsugai , T. Fukui , H. Suzuki

In a kagome lattice, the time reversal symmetry can be broken by a staggered magnetic flux emerging from ferromagnetic ordering and intrinsic spin-orbit coupling, leading to several wellseparated nontrivial Chern bands and intrinsic quantum…

Mesoscale and Nanoscale Physics · Physics 2015-11-04 Gang Xu , Biao Lian , Shou-Cheng Zhang