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Related papers: Quantum Spin Hall Effect in Strip of Stripes Model

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In the quantum anomalous Hall effect, chiral edge modes are expected to conduct spin polarized current without dissipation and thus hold great promise for future electronics and spintronics with low energy consumption. However, spin…

Mesoscale and Nanoscale Physics · Physics 2016-07-06 Rui-Xing Zhang , Hsiu-Chuan Hsu , Chao-Xing Liu

The temperature dependence of electron spin polarization for a narrow quantum Hall system shows behavior analogous to that of a two-dimensional system at major filling factors. At the lowest half-filled quantum Hall state for which no…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Tapash Chakraborty , K. Niemelä , P. Pietiläinen

We study a tight-binding model on the two-dimensional ruby lattice. This lattice supports several types of first and second neighbor spin-dependent hopping parameters in an $s$-band model that preserves time-reversal symmetry. We discuss…

Strongly Correlated Electrons · Physics 2015-03-19 Xiang Hu , Mehdi Kargarian , Gregory A. Fiete

A two-dimensional array of quantum dots in a magnetic field is considered. The electrons in the quantum dots are described as unitary random matrix ensembles. The strength of the magnetic field is such that there is half a flux quantum per…

Condensed Matter · Physics 2009-10-28 K. Ziegler

Computer modelling of the integer quantum Hall effect based on self-consistent Hartee-Fock calculations has now reached an astonishing level of maturity. Spatially-resolved studies of the electron density at near macroscopic system sizes of…

Mesoscale and Nanoscale Physics · Physics 2021-08-03 Rudolf A. Römer , Josef Oswald

The spin-orbit coupling may generate spin transverse force on moving electron spin, which gives a heuristic picture for the quantum transverse transport of electron. A relation between the spin and anomalous Hall conductance and spin force…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Bin Zhou , Li Ren , Shun-Qing Shen

It is shown that spin Hall effect creates uniform spin polarization of electrons in semiconductor with a linear in the momentum spin splitting of conduction band. In turn, the profile of the non-uniform spin polarization accumulated at the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 V. L. Korenev

A profound manifestation of topologically non-trivial states of matter is the occurrence of fractionally charged elementary excitations. The quantum spin Hall insulator state is a fundamentally novel quantum state of matter that exists at…

Mesoscale and Nanoscale Physics · Physics 2007-10-04 Xiao-Liang Qi , Taylor L. Hughes , Shou-Cheng Zhang

We demonstrate the emergence of the quantum Hall (QH) hierarchy in a 2D model of coupled quantum wires in a perpendicular magnetic field. At commensurate values of the magnetic field, the system can develop instabilities to appropriate…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 C. L. Kane , Ranjan Mukhopadhyay , T. C. Lubensky

The quantum spin Hall state is a topologically non-trivial insulator state protected by the time reversal symmetry. We show that such a state always leads to spin-charge separation in the presence of a $\pi$ flux. Our result is generally…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Xiao-Liang Qi , Shou-Cheng Zhang

Spin-orbit coupling in semiconductors relates the spin of an electron to its momentum and provides a pathway for electrically initializing and manipulating electron spins for applications in spintronics and spin-based quantum information…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 V. Sih , R. C. Myers , Y. K. Kato , W. H. Lau , A. C. Gossard , D. D. Awschalom

We investigate quantum Hall stripes under in-plane magnetic field $B_\parallel$ in a variable-density two-dimensional electron gas. At filling factor $\nu = 9/2$, we observe one, two, and zero $B_\parallel$-induced reorientations at low,…

Mesoscale and Nanoscale Physics · Physics 2017-04-12 Q. Shi , M. A. Zudov , Q. Qian , J. D. Watson , M. J. Manfra

A semiclassical constrained Hamiltonian system which was established to study dynamical systems of matrix valued non-Abelian gauge fields is employed to formulate spin Hall effect in noncommuting coordinates at the first order in the…

High Energy Physics - Theory · Physics 2009-12-10 O. F. Dayi , M. Elbistan

We present a general theory about electron orbital motions in topological insulators. An in-plane electric field drives spin-up and spin-down electrons bending to opposite directions, and skipping orbital motions, a counterpart of the…

Mesoscale and Nanoscale Physics · Physics 2016-01-14 Li-kun Shi , Shou-cheng Zhang , Kai Chang

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

With the recent observation of graphene-like Landau levels at the surface of topological insulators, the possibility of fractional quantum Hall effect, which is a fundamental signature of strong correlations, has become of interest. Some…

Mesoscale and Nanoscale Physics · Physics 2013-05-21 Ashley M. DaSilva

We observe the inverse spin Hall effect in a two-dimensional electron gas confined in AlGaAs/InGaAs quantum wells. Specifically, we find that an inhomogeneous spin density induced by the optical injection gives rise an electric current…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Baoli Liu , Junren Shi , Wenxin Wang , Hongming Zhao , Dafang Li , Shoucheng Zhang , Qikun Xue , Dongmin Chen

In two dimensions strongly interacting bosons in a magnetic field can form an integer quantum Hall state. This state has a bulk gap, no fractional charges or topological order in the bulk but nevertheless has quantized Hall transport and…

Strongly Correlated Electrons · Physics 2013-10-30 N. Regnault , T. Senthil

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

Spin orbit coupling changes graphene, in principle, into a two-dimensional topological insulator, also known as quantum spin Hall insulator. One of the expected consequences is the existence of spin-filtered edge states that carry…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 D. Gosálbez-Martínez , D. Soriano , J. J. Palacios , J. Fernández-Rossier