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The integral and fractional quantum Hall effects are among the most important discoveries in condensed matter physics in 1980s. The main results can be summarized in the conductance matrix. When the filling factor is an integer or some…

Mesoscale and Nanoscale Physics · Physics 2015-05-25 R. Tao , A. Widom

Despite many years of efforts, attempts to reach the quantum regime of topological surface states (TSS) on an electrically tunable topological insulator (TI) platform have so far failed on binary TI compounds such as Bi2Se3 due to high…

Materials Science · Physics 2019-08-12 N. Koirala , M. Salehi , J. Moon , S. Oh

Quantum anomalous Hall (QAH) effect generates quantized electric charge Hall conductance without external magnetic field. It requires both nontrivial band topology and time-reversal symmetry (TRS) breaking. In most cases, one could break…

Materials Science · Physics 2021-07-06 Haowei Xu , Jian Zhou , Ju Li

By studying the quantum Hall effect of stationary states with high values of injected current using a von Neumann lattice representation, we found that broadening of extended state bands due to a Hall electric field occurs and causes the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Kenzo Ishikawa , Nobuki Maeda , Tetsuyuki Ochiai , Hisao Suzuki

The discovery of the quantised Hall effect, and its subsequent topological explanation, demonstrated the important role topology can play in determining the properties of quantum systems. This realisation led to the development of…

The topological insulator is a fundamentally new phase of matter, with the striking property that the conduction of electrons occurs only on its surface, not within the bulk, and that conduction is topologically protected. Topological…

Jaynes-Cummings-Hubbard arrays provide unique opportunities for quantum emulation as they exhibit convenient state preparation and measurement, and in-situ tuning of parameters. We show how to realise strongly correlated states of light in…

Mesoscale and Nanoscale Physics · Physics 2016-11-30 Andrew L. C. Hayward , Andrew M. Martin , Andrew D. Greentree

We study the quantum anomalous thermal Hall effect in a topological superconductor which possesses an integer bulk topological number, and supports Majorana excitations on the surface. To realize the quantum thermal Hall effect, a finite…

Mesoscale and Nanoscale Physics · Physics 2015-06-01 Yosuke Shimizu , Ai Yamakage , Kentaro Nomura

We study the quantum Hall effect in the surface states of topological insulator in the presence of a perpendicular magnetic field in the framework of edge states. Motion of Dirac fermions will form descrete Landau levels, among which a…

Mesoscale and Nanoscale Physics · Physics 2009-09-24 Shun-Qing Shen

Based on the recently proposed concept of effective gauge potential and magnetic field for photons, we numerically demonstrate a photonic de Haas-van Alphen effect. We show that in a dynamically modulated photonic resonator lattice…

Optics · Physics 2013-11-13 Kejie Fang , Shanhui Fan

We experimentally demonstrate topological edge states arising from the valley-Hall effect in twodimensional honeycomb photonic lattices with broken inversion symmetry. We break inversion symmetry by detuning the refractive indices of the…

Optics · Physics 2018-02-12 Jiho Noh , Sheng Huang , Kevin Chen , Mikael C. Rechtsman

Stacking and twisting atom-thin sheets create superlattice structures with unique emergent properties, while tailored light fields can manipulate coherent electron transport on ultrafast timescales. The unification of these two approaches…

Mesoscale and Nanoscale Physics · Physics 2024-05-20 Sambit Mitra , Álvaro Jiménez-Galán , Marcel Neuhaus , Rui E F Silva , Volodymyr Pervak , Matthias F Kling , Shubhadeep Biswas

The quantum Hall effect is studied in the topological insulator BiSbTeSe$_2$. By employing top- and back-gate electric fields at high magnetic field, the Landau levels of the Dirac cones in the top and bottom topological surface states can…

Mesoscale and Nanoscale Physics · Physics 2017-11-29 Chuan Li , Bob de Ronde , Artem Nikitin , Yingkai Huang , Mark S. Golden , Anne de Visser , Alexander Brinkman

As a new quantum state, topological insulators have become the focus of condensed matter and material science. The open system research of topological insulators has aroused the interest of many researchers. Recently, many aspects,…

Mesoscale and Nanoscale Physics · Physics 2022-10-28 Xue Han , Kang Xue , X. X. Yi

The quantum anomalous Hall effect (QAHE) is a fundamental quantum transport phenomenon that manifests as a quantized transverse conductance in response to a longitudinally applied electric field in the absence of an external magnetic field,…

We demonstrate a synthetic Hall effect for light, using an acousto-optically modulated nanophotonic resonator chain. To produce this effect, we simultaneously generate the required synthetic electric field using temporal modulation, and the…

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,…

Mesoscale and Nanoscale Physics · Physics 2017-05-17 Hsiu-Chuan Hsu , Min-Jyun Jhang , Tsung-Wei Chen , Guang-Yu Guo

When smooth, zero-on-average, periodic magnetic and electric fields are applied to a carbon mono-layer (graphene), a gap between the valence and conduction band is introduced. Here this gapped state is studied analytically. It is found that…

Mesoscale and Nanoscale Physics · Physics 2013-02-25 I. Snyman

Driven by various physical origins, the interesting reentrant phenomena in quantum Hall effect (QHE), quantum anomalous Hall effect (QAHE) and non-Hermitian systems have been discussed recently. Here, we present that the reentrant phenomena…

Mesoscale and Nanoscale Physics · Physics 2023-06-16 Xiaoyu Cheng , Xiaohong Zheng , Jun Chen , Liantuan Xiao , Suotang Jia , Lei Zhang

We study the quantum anomalous Hall states in the $p$-orbital bands of the honeycomb optical lattices loaded with the single component fermions. Such an effect has not been realized in both condensed matter and cold atom systems yet. By…

Quantum Gases · Physics 2011-03-02 Machi Zhang , Hsiang-hsuan Hung , Chuanwei Zhang , Congjun Wu
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