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Quantum spin Hall insulators are characterized by topologically protected counterpropagating edge states. Here we study the dynamical response of these helical edge states under a time-dependent flux biasing, in the presence of a heat bath.…

Mesoscale and Nanoscale Physics · Physics 2014-11-11 Doru Sticlet , Jérôme Cayssol

We study the suppression of the conductance quantization in quantum spin Hall systems by a combined effect of electronic interactions and edge disorder, that is ubiquitous in exfoliated and CVD grown 2D materials. We show that the interplay…

Mesoscale and Nanoscale Physics · Physics 2024-04-16 Leandro R. F. Lima , Caio Lewenkopf

Time-periodic perturbations due to classical electromagnetic fields are useful to engineer the topological properties of matter using the Floquet theory. Here we investigate the effect of quantized electromagnetic fields by focusing on the…

Strongly Correlated Electrons · Physics 2015-10-16 Balázs Gulácsi , Balázs Dóra

It has been recently realized that strong interactions in topological Bloch bands give rise to the appearance of novel states of matter. Here we study connections between these systems -- fractional Chern insulators and the fractional…

Strongly Correlated Electrons · Physics 2013-08-28 Zhao Liu , D. L. Kovrizhin , Emil J. Bergholtz

Fractional quantum Hall effect (FQHE) is a prime example of topological quantum many-body phenomena, arising from the interplay between strong electron correlation, topological order, and time reversal symmetry breaking. Recently, a lattice…

Strongly Correlated Electrons · Physics 2024-11-22 Zhurun Ji , Heonjoon Park , Mark E. Barber , Chaowei Hu , Kenji Watanabe , Takashi Taniguchi , Jiun-Haw Chu , Xiaodong Xu , Zhi-xun Shen

We study bulk-boundary correspondences and related surface phenomena stabilized by the second Chern number in three-dimensional insulators driven in adiabatic cycles. Magnetic fields and disorder effects are incorporated in our analysis…

Strongly Correlated Electrons · Physics 2020-05-07 Bryan Leung , Emil Prodan

The information content of one-electron bulk and edge states in semiconductor quantum wells is calculated in the inverted regime, where edge states, topologically protected, are responsible for the conduction in Spin Quantum Hall effect…

Mesoscale and Nanoscale Physics · Physics 2022-07-27 Natalia Giovenale , Omar Osenda

We study theoretically the two interacting one-dimensional helical modes at the edges of the quantum spin Hall systems. A new type of inter-edge correlated liquid (IECL) without the spin gap is found. This liquid shows the diverging density…

Superconductivity · Physics 2015-05-13 Yukio Tanaka , Naoto Nagaosa

Quantum Hall states can be characterized by their chiral edge modes. Upon softening the edge potential, the edge has long been known to undergo spontaneous reconstruction driven by charging effects. In this paper we demonstrate a…

Mesoscale and Nanoscale Physics · Physics 2017-11-08 Udit Khanna , Ganpathy Murthy , Sumathi Rao , Yuval Gefen

Quantum spin Hall insulators, recently realized in HgTe/(Hg,Cd)Te quantum wells, support topologically protected, linearly dispersing edge states with spin-momentum locking. A local magnetic exchange field can open a gap for the edge…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Carsten Timm

We consider a quantum spin Hall system in a two-terminal setup, with an extended tunneling contact connecting upper and lower edges. We analyze the effects of this geometry on the backscattering current as a function of voltage,…

Mesoscale and Nanoscale Physics · Physics 2012-06-08 G. Dolcetto , S. Barbarino , D. Ferraro , N. Magnoli , M. Sassetti

We found analytical solution for the time evolution of localized electron density in a system of two coupled single-level quantum dots (QDs) connected with continuous spectrum states in the presence of Coulomb interaction. This solution…

Mesoscale and Nanoscale Physics · Physics 2013-12-30 P. I. Arseev , N. S. Maslova , V. N. Mantsevich

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

The equilibration between quantum Hall edge modes is known to depend on the disorder potential and the steepness of the edge. Modern samples with higher mobilities and setups with lower electron temperatures call for a further exploration…

Mesoscale and Nanoscale Physics · Physics 2022-02-08 G. Nicoli , C. Adam , M. P. Röösli , P. Märki , J. Scharnetzky , C. Reichl , W. Wegscheider , T. Ihn , K. Ensslin

We perform projective quantum Monte Carlo simulations of zigzag graphene nanoribbons within a realistic model with long-range Coulomb interactions. Increasing the relative strength of nonlocal interactions with respect to the on-site…

Strongly Correlated Electrons · Physics 2017-09-29 Marcin Raczkowski , Fakher F. Assaad

The charge and spin correlation functions of partially spin-polarized edge electrons of a quantum Hall bar are studied using effective Hamiltonian and bosonization techniques. In the presence of the Coulomb interaction between the edges…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 H. C. Lee , S. -R. Eric Yang

The discovery of the Quantum Spin Hall state, and topological insulators in general, has sparked strong experimental efforts. Transport studies of the Quantum Spin Hall state confirmed the presence of edge states, showed ballistic edge…

Quantum spin Hall (QSH) insulator with large gap is highly desirable for potential spintronics application. Here we realize electrically tunable QSH insulator with large gap in van der Waals heterobilayer of monolayer transition metal…

Mesoscale and Nanoscale Physics · Physics 2019-09-05 Qizhong Zhu , Qingjun Tong , Huazheng Sun , Yong Wang , Wang Yao

Long range Coulomb interaction between the edges of a Hall bar changes the nature of the gapless edge excitations. Instead of independent modes propagating in opposite directions on each edge as expected for a short range interaction one…

Condensed Matter · Physics 2009-10-28 Dror Orgad , Shimon Levit

We present a theory of the electron structure and the Zeeman effect for the helical edge states emerging in two-dimensional topological insulators based on HgTe/HgCdTe quantum wells with strong natural interface inversion asymmetry. The…

Mesoscale and Nanoscale Physics · Physics 2016-02-25 M. V. Durnev , S. A. Tarasenko