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We study the interplay of confining potential, electron-electron interaction, and Zeeman splitting at the edges of fractional quantum Hall liquids, using numerical diagonalization of finite-size systems. The filling factors studied include…

强关联电子 · 物理学 2015-06-17 Yuhui Zhang , Zi-Xiang Hu , Kun Yang

We consider an electron in two dimensions submitted to a magnetic field and to the potential of impurities. We show that when the electron is confined to a half-space by a planar wall described by a smooth increasing potential, the total…

介观与纳米尺度物理 · 物理学 2009-10-31 N. Macris , Ph. A. Martin , J. V. Pule

The possibility of a novel type of semiconductor quantum dots obtained by spatially modulating the spin-orbit coupling intensity in III-V heterostructures is discussed. Using the effective mass model we predict confined one-electron states…

介观与纳米尺度物理 · 物理学 2009-11-10 M. Valin-Rodriguez , A. Puente , L. Serra

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,…

介观与纳米尺度物理 · 物理学 2012-06-08 G. Dolcetto , S. Barbarino , D. Ferraro , N. Magnoli , M. Sassetti

The helical edge states in a quantum spin Hall insulator are presumably protected by time- reversal symmetry. However, even in the presence of magnetic field which breaks time-reversal symmetry, the helical edge conduction can still exist,…

介观与纳米尺度物理 · 物理学 2017-05-17 Hsiu-Chuan Hsu , Min-Jyun Jhang , Tsung-Wei Chen , Guang-Yu Guo

An effective Chern-Simons theory for the Abelian quantum Hall states with edges is proposed to study the edge and bulk properties in a unified fashion. We impose a condition that the currents do not flow outside the sample. With this…

凝聚态物理 · 物理学 2009-10-28 Naoto Nagaosa , Mahito Kohmoto

Topologically nontrivial band structure of a material may give rise to special states that are confined to the material's boundary and protected against disorder and scattering. Quantum spin Hall effect (QSHE) is a paradigmatic example of…

介观与纳米尺度物理 · 物理学 2025-12-09 Luis Alberto Razo López , Pierre Wulles , Geoffroy J. Aubry , Sergey E. Skipetrov , Fabrice Mortessagne

The integer quantum Hall effect features a paradigmatic quantum phase transition. Despite decades of work, experimental, numerical, and analytical studies have yet to agree on a unified understanding of the critical behavior. Based on a…

无序系统与神经网络 · 物理学 2021-06-30 Martin Puschmann , Philipp Cain , Michael Schreiber , Thomas Vojta

Quantum spin Hall effect is characterized by topologically protected helical edge states. Here we study the thermal dissipation of helical edge states by considering two types of dissipation sources. The results show that the helical edge…

介观与纳米尺度物理 · 物理学 2024-10-31 Jing-Yun Fang , Yu-Chen Zhuang , Ai-Min Guo , Qing-Feng Sun

A topological insulator is characterized by a dichotomy between the interior and the edge of a finite system: While the bulk has a non-zero energy gap, the edges are forced to sustain excitations traversing these gaps. Originally proposed…

介观与纳米尺度物理 · 物理学 2015-07-07 Roman Süsstrunk , Sebastian D. Huber

We combine the ideas of intensity interferometry, polarization optics and Bell's measurement into an experimental proposal which is hosted in a $\nu\,$=$\,2$ quantum Hall (QH) edge state. Our interferometer comprises of a single gate, that…

介观与纳米尺度物理 · 物理学 2016-09-02 Krishanu Roychowdhury , Disha Wadhawan , Poonam Mehta , Biswajit Karmakar , Sourin Das

We investigate the ballistic motion of electrons and holes in III-V semiconductor quantum wells with spin-orbit coupling and a homogeneous in-plane electric field. As a result of a non-perturbative treatment of both of these influences,…

介观与纳米尺度物理 · 物理学 2007-05-23 John Schliemann

Quantum spin Hall insulator is characterized by the helical edge states, with the spin polarization of electron being locked to its direction of motion. Although the edge-state conduction has been observed, unambiguous evidence of the…

介观与纳米尺度物理 · 物理学 2016-08-17 Wei Chen , Wei-Yin Deng , Jing-Min Hou , D. N. Shi , L. Sheng , D. Y. Xing

We show that the one-way channel formalism of quantum optics has a physical realisation in electronic systems. In particular, we show that magnetic edge states form unidirectional quantum channels capable of coherently transporting…

介观与纳米尺度物理 · 物理学 2007-05-23 T. M. Stace , C. H. W. Barnes , G. J. Milburn

We study the electronic transport across an electrostatically-gated lateral junction in a HgTe quantum well, a canonical 2D topological insulator, with and without applied magnetic field. We control carrier density inside and outside a…

We propose models of two dimensional paramagnetic semiconductors where the intrinsic spin Hall effect is exactly quantized in integer units of a topological charge. The model describes a topological insulator in the bulk, and a "holographic…

介观与纳米尺度物理 · 物理学 2009-11-11 Xiao-Liang Qi , Yong-Shi Wu , Shou-Cheng Zhang

We propose and analyze the non-equilibrium finite frequency current-current correlations as a mean to characterize the helical nature of the edge states in a quantum spin hall geometry. We show that the finite frequency noise enables to…

介观与纳米尺度物理 · 物理学 2012-11-16 J. -R. Souquet , P. Simon

Mainstream among topological insulators, GaSb/InAs quantum wells present a broken gap alignment for the energy bands which supports the quantum spin Hall insulator phase and forms an important building block in the search of exotic states…

介观与纳米尺度物理 · 物理学 2019-09-11 T. Campos , M. A. T. Sandoval , L. Diago-Cisneros , G. M. Sipahi

The quantum spin Hall (QSH) state is a genuinely new state of matter characterized by a non-trivial topology of its band structure. Its key feature is conducting edge channels whose spin polarization has potential for spintronic and quantum…

We investigate a Zeeman-split quantum dot (QD) containing a single spin 1/2 weakly coupled to a helical Luttinger liquid (HLL) within a generalized master equation approach. The HLL induces a tunable magnetization direction on the QD…

介观与纳米尺度物理 · 物理学 2015-08-13 Benedikt Probst , Pauli Virtanen , Patrik Recher