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Current understanding of higher-order topological insulators (HOTIs) is based primarily on crystalline materials. Here, we propose that HOTIs can be realized in quasicrystals. Specifically, we show that two distinct types of second-order…

Mesoscale and Nanoscale Physics · Physics 2020-01-24 Rui Chen , Chui-Zhen Chen , Jin-Hua Gao , Bin Zhou , Dong-Hui Xu

The response of particle density to a dilation of a periodic potential in an insulator, with or without a fixed background potential or a magnetic field, is shown to be quantized. A similar phenomenon occurs in a quantum Hall system, where…

Condensed Matter · Physics 2009-10-22 Q. Niu

The quantum Hall (QH) effect, quantized Hall resistance combined with zero longitudinal resistance, is the characteristic experimental fingerprint of Chern insulators - topologically non-trivial states of two-dimensional matter with broken…

Mesoscale and Nanoscale Physics · Physics 2023-02-07 Cui-Zu Chang , Chao-Xing Liu , Allan H. MacDonald

The surface states of topological insulators, which behave as charged massless Dirac fermions, are studied in the presence of a quantizing uniform magnetic field. Using the method of D.H. Lee[1], analytical formula satisfied by the energy…

Mesoscale and Nanoscale Physics · Physics 2011-12-13 Oskar Vafek

The third-rank tensor of the static spin Hall conductivity is investigated for two-dimensional (2D) topological insulators by electronic structure calculations. Its seeming quantization is numerically demonstrated for highly symmetric…

Mesoscale and Nanoscale Physics · Physics 2020-01-01 Filipe Matusalem , Lars Matthes , Jürgen Furthmüller , Marcelo Marques , Lara K. Teles , Friedhelm Bechstedt

To obtain room temperature ferromagnetic semiconductors is one of big challenges in science, and also premises essentially to realize room temperature quantum anomalous Hall effect (QAHE), both of which are quite expected for a long time.…

Materials Science · Physics 2019-09-04 Jing-Yang You , Zhen Zhang , Bo Gu , Gang Su

We have measured the temperature (0.1 < T < 15 K) and magnetic field (0 < B < 32 T) dependences of longitudinal and Hall resistivities for the p-Ge_{1-x}Si_x/Ge, x=~0.07, multilayers with different Ge layer widths 10 < d_w < 38 nm and hole…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M. V. Yakunin , G. A. Alshanskii , Yu. G. Arapov , G. I. Harus , V. N. Neverov , N. G. Shelushinina , O. A. Kuznetsov

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

One-dimensional (1D) quasicrystals exhibit physical phenomena associated with the 2D integer quantum Hall effect. Here, we transcend dimensions and show that a previously inaccessible phase of matter --- the 4D integer quantum Hall effect…

Mesoscale and Nanoscale Physics · Physics 2013-12-03 Yaacov E. Kraus , Zohar Ringel , Oded Zilberberg

Two-dimensional (2D) topological insulators (TIs) are promising platforms for low-dissipation spintronic devices based on the quantum spin Hall (QSH) effect, but experimental realization of such systems with a large band gap suitable for…

Mesoscale and Nanoscale Physics · Physics 2018-05-23 P. Chen , W. -W. Pai , Y. -H. Chan , W. -L. Sun , C. -Z. Xu , D. -S. Lin , M. Y. Chou , A. -V. Fedorov , T. -C. Chiang

We demonstrate that in strong quantum limit the thermoelectric Peltier effect could define the longitudinal resistivity of dissipationless two-dimensional electron(hole) gas. The current results in heating(cooling) at first(second) Hall bar…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. V. Cheremisin

We have performed low-temperature transport measurements on a GaAs two-dimensional electron system at low magnetic fields. Multiple temperature-independent points and accompanying oscillations are observed in the longitudinal resistivity…

Mesoscale and Nanoscale Physics · Physics 2008-09-08 Tsai-Yu Huang , C. -T. Liang , Gil-Ho Kim , C. F. Huang , Chao-Ping Huang , Jyun-Ying Lin , Hsi-Sheng Goan , D. A. Ritchie

Magneto-transport measurements are performed on two-dimensional GaAs electron systems to probe the quantum Hall (QH) effect at low magnetic fields. Oscillations following the Shubnikov-de Haas (SdH) formula are observed in the transition…

Mesoscale and Nanoscale Physics · Physics 2012-09-14 Shun-Tsung Lo , Yi-Ting Wang , G Bohra , E Comfort , T-Y Lin , M-G Kang , G Strasser , J P Bird , C F Huang , Li-Hung Lin , J C Chen , C-T Liang

We investigate correlation physics in high-density, two-dimensional electron liquids that reside in narrow SrTiO3 quantum wells. The quantum wells are remotely doped via an interfacial polar discontinuity and the three-dimensional (3D)…

Strongly Correlated Electrons · Physics 2013-11-26 Pouya Moetakef , Clayton A. Jackson , Jinwoo Hwang , Leon Balents , S. James Allen , Susanne Stemmer

Two-dimensional quantum spin Hall (QSH) insulators with reasonably wide band gaps are imperative for the development of various innovative technologies. Through systematic density functional calculations and tight-binding simulations, we…

Materials Science · Physics 2018-10-12 Hui Wang , S. T. Pi , J. Kim , Z. Wang , H. H. Fu , R. Q. Wu

The quantum anomalous Hall (QAH) effect is conventionally understood to exist only in Chern insulators, while a recent study has shown that ferromagnetic metals can also host the QAH effect. Between insulators and metals, we demonstrate…

Mesoscale and Nanoscale Physics · Physics 2026-05-28 Peng-Yi Liu , Yu-Hao Wan , Qing-Feng Sun

We consider an infinitely extended system of fermions on a $d$-dimensional lattice with (magnetic) translation-invariant short-range interactions. We further assume that the system has a locally unique gapped ground state. Physically, this…

Mathematical Physics · Physics 2025-03-25 Marius Wesle , Giovanna Marcelli , Tadahiro Miyao , Domenico Monaco , Stefan Teufel

Magnetic topological semimetals exhibit emerging magneto-transport behaviors, such as the giant anomalous Hall effect (AHE), chiral Hall effect, and antisymmetric magnetoresistance. In this work, based on the magnetic Weyl semimetal…

Mesoscale and Nanoscale Physics · Physics 2026-04-14 Jinying Yang , Qingqi Zeng , Yibo Wang , Meng Lyu , Yang Liu , Xingchen Liu , Xuebin Dong , Binbin Wang , Xiyang Li , Enke Liu

It is shown that the statements about the observation of the transitions between the insulating phase and the integer quantum Hall effect phases with the quantized Hall conductivity $\sigma_{xy}^{q}$ $\geq 3e^{2}/h$ made in a number of…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 S. S. Murzin

We propose a simple realization of the three-dimensional (3D) Weyl semimetal phase, utilizing a multilayer structure, composed of identical thin films of a magnetically-doped 3D topological insulator (TI), separated by ordinary-insulator…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 A. A. Burkov , Leon Balents
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