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Mott insulators with localized magnetic moments will exhibit a quantum spin liquid (QSL) state when the quantum fluctuations are strong enough to suppress the ordering of the spins. Such an entangled state will give rise to collective…

Strongly Correlated Electrons · Physics 2025-04-17 Haiyang Chen , Fo-Hong Wang , Qiang Gao , Xue-Jian Gao , Zhenhua Chen , Yaobo Huang , Kam Tuen Law , Xiao Yan Xu , Peng Chen

We report finite-size topology in the quintessential time-reversal (TR) invariant systems, the quantum spin Hall insulator (QSHI) and the three-dimensional, strong topological insulator (STI): previously-identified helical or Dirac cone…

Mesoscale and Nanoscale Physics · Physics 2023-09-20 R. Flores-Calderón , Roderich Moessner , Ashley M. Cook

We used density functional theory to investigate the lateral heteromonolayers of WTe2 and MoTe2. We confirmed that topologically nontrivial and trivial phases are energetically favored for the WTe2 and MoTe2 monolayers, taken out of bulk…

Materials Science · Physics 2023-10-03 Mari Ohfuchi , Akihiko Sekine

Quantum spin Hall insulators (QSHIs) and excitonic insulators (EIs) are prototypical topological and correlated states of matter, respectively. The topological phase transition between the two has attracted much theoretical interest but…

Mesoscale and Nanoscale Physics · Physics 2025-09-24 Zhongdong Han , Yiyu Xia , Kenji Watanabe , Takashi Taniguchi , Kin Fai Mak , Jie Shan

We investigate the electronic and transport properties of topological and trivial InAs$_{1-x}$Bi$_x$ quantum dots (QDs). By considering the rapid band gap change within valence band anticrossing theory for InAs$_{1-x}$Bi$_x$, we predicted…

Mesoscale and Nanoscale Physics · Physics 2018-12-26 Denis R. Candido , M. E. Flatté , J. Carlos Egues

Honeycomb or triangular lattices were extensively studied and thought to be proper platforms for realizing quantum anomalous Hall effect (QAHE), where magnetism is usually caused by d orbitals of transition metals. Here we propose that…

Materials Science · Physics 2021-07-05 Jing-Yang You , Bo Gu , Gang Su

Topological surface-states can acquire an energy gap when time-reversal symmetry is broken by interfacing with a magnetic insulator. This gap has yet to be measured. Such topological-magnetic insulator heterostructures can host a quantized…

We have experimentally realized novel space-time inversion (P-T) invariant Z2-type topological semimetal-bands, via an analogy between the momentum space and a controllable parameter space in superconducting quantum circuits. By measuring…

Quantum Physics · Physics 2017-11-03 Xinsheng Tan , Yuxin Zhao , Qiang Liu , Guangming Xue , Haifeng Yu , Zidan Wang , Yang Yu

Topologically protected edge channels show prospects for quantum devices. They have been found experimentally in two-dimensional (2D) quantum spin Hall insulators (QSHIs), weak topological insulators and higher-order topological insulators…

Electrical transport in three dimensional topological insulators(TIs) occurs through spin-momentum locked topological surface states that enclose an insulating bulk. In the presence of a magnetic field, surface states get quantized into…

Mesoscale and Nanoscale Physics · Physics 2018-04-02 Abhishek Banerjee , Ananthesh Sundaresh , Sangram Biswas , R. Ganesan , Diptiman Sen , P. S. Anil Kumar

The quantum spin Hall (QSH) effect is the property of a new state of matter which preserves time-reversal, has an energy gap in the bulk, but has topologically robust gapless states at the edge. Recently, it has been shown that HgTe quantum…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Xi Dai , Taylor L. Hughes , Xiao-Liang Qi , Zhong Fang , Shou-Cheng Zhang

Topological crystalline insulators (TCIs) host topological phases of matter protected by crystal symmetries. Topological surface states in three-dimensional TCIs have been predicted and observed in IV-VI SnTe-class semiconductors. Despite…

Mesoscale and Nanoscale Physics · Physics 2026-01-30 Liwei Jing , Mohammad Amini , Adolfo O. Fumega , Orlando J. Silveira , Jose L. Lado , Peter Liljeroth , Shawulienu Kezilebieke

The band structure, intra- and interband scattering processes of the electrons at the surface of a bismuth-bilayer on Bi$_2$Se$_3$ have been experimentally investigated by low-temperature Fourier-transform scanning tunneling spectroscopy.…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 A. Eich , M. Michiardi , G. Bihlmayer , X. -G. Zhu , J. -L. Mi , Bo B. Iversen , R. Wiesendanger , Ph. Hofmann , A. A. Khajetoorians , J. Wiebe

The classic Thouless-Kohmoto-Nightingale-Nijs theorem dictates that a single electron band of a lattice can only harbor an integer quantum Hall conductance as a multiple of e^2/2h, while recent studies have pointed to the emergence of half…

Mesoscale and Nanoscale Physics · Physics 2025-07-08 M. U. Muzaffar , Kai-Zhi Bai , Wei Qin , Guohua Cao , Yutong Yang , Shunhong Zhang , Ping Cui , Shun-Qing Shen , Zhenyu Zhang

As one of the first proposed topologically protected states, the quantum spin Hall effect in graphene relies critically on the existence of a spin-dependent gap at the K/K' points of the Brillouin zone. Using a tight-binding formulation…

Mesoscale and Nanoscale Physics · Physics 2013-07-10 Warren J. Elder , Eng Soon Tok , Dimitri D. Vvedensky , Jing Zhang

An intriguing property of three-dimensional (3D) topological insulator (TI) is the existence of surface states with spin-momentum locking, which offers a new frontier of exploration in spintronics. Here, we report the observation of a new…

Mesoscale and Nanoscale Physics · Physics 2019-07-03 Pan He , Steven S. -L. Zhang , Dapeng Zhu , Shuyuan Shi , Olle G. Heinonen , Giovanni Vignale , Hyunsoo Yang

We study a general problem how the gap in a nonmagnetic band insulator closes by tuning a parameter. We review our recent results on the classification of all the possible gap closing in two and three dimensions. We show that they accompany…

Mesoscale and Nanoscale Physics · Physics 2012-01-31 Shuichi Murakami

We predict that twisted bilayers of 1T-ZrS$_2$ realize a novel and tunable platform to engineer two-dimensional topological quantum phases dominated by strong spin-orbit interactions. At small twist angles, ZrS$_2$ heterostructures give…

Strongly Correlated Electrons · Physics 2022-08-30 Martin Claassen , Lede Xian , Dante M. Kennes , Angel Rubio

We show that the Quantum Spin Hall Effect, a state of matter with topological properties distinct from conventional insulators, can be realized in HgTe/CdTe semiconductor quantum wells. By varying the thickness of the quantum well, the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 B. Andrei Bernevig , Taylor L. Hughes , Shou-Cheng Zhang

We show that moir\'e bands of twisted homobilayers can be topologically nontrivial, and illustrate the tendency by studying valence band states in $\pm K$ valleys of twisted bilayer transition metal dichalcogenides, in particular, bilayer…

Mesoscale and Nanoscale Physics · Physics 2019-03-06 Fengcheng Wu , Timothy Lovorn , Emanuel Tutuc , Ivar Martin , A. H. MacDonald