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The anomalous Hall effect is caused by magnetic textures such as skyrmions. We derive an analytical formula of the Hall conductivity on the surface of a topological insulator up to third order in magnetization,…

Mesoscale and Nanoscale Physics · Physics 2021-04-30 Terufumi Yamaguchi , Ai Yamakage

We study the low-energy physics of topological insulator (TI) nanoribbons proximity-coupled to s-wave superconductors (SCs) by explicitly incorporating the proximity effects that emerge at the TI-SC interface. We construct a low-energy…

Superconductivity · Physics 2014-07-24 Piyapong Sitthison , Tudor D. Stanescu

We present an effective medium theory that explains the disorder-induced transition into a phase of quantized conductance, discovered in computer simulations of HgTe quantum wells. It is the combination of a random potential and quadratic…

Mesoscale and Nanoscale Physics · Physics 2013-07-09 C. W. Groth , M. Wimmer , A. R. Akhmerov , J. Tworzydło , C. W. J. Beenakker

Topological phases of matter that depend for their existence on interactions are fundamentally interesting and potentially useful as platforms for future quantum computers. Despite the multitude of theoretical proposals the only…

Mesoscale and Nanoscale Physics · Physics 2015-09-02 D. I. Pikulin , Ching-Kai Chiu , Xiaoyu Zhu , M. Franz

We argue that by inducing superconductivity in graphene via the proximity effect, it is possible to observes the "quantum valley Hall effect". In the presence of magnetic field, supercurrent causes "valley pseudospin" to accumulate at the…

Superconductivity · Physics 2013-05-29 Pouyan Ghaemi , Shinsei Ryu , Dung-Hai Lee

The experimental realization of Majorana fermions presents an important problem due to their non-Abelian nature and potential exploitation for topological quantum computation. Very recently Sau et al. [arXiv:0907.2239] demonstrated that a…

Strongly Correlated Electrons · Physics 2013-05-29 Jason Alicea

The quantum anomalous Hall effect is defined as a quantized Hall effect realized in a system without external magnetic field. Quantum anomalous Hall effect is a novel manifestation of topological structure in many-electron systems, and may…

Mesoscale and Nanoscale Physics · Physics 2015-08-31 Chao-Xing Liu , Shou-Cheng Zhang , Xiao-Liang Qi

We propose realizing the quantum anomalous Hall effect by proximity coupling graphene to an antiferromagnetic insulator that provides both broken time-reversal symmetry and spin-orbit coupling. We illustrate our idea by performing ab initio…

Mesoscale and Nanoscale Physics · Physics 2015-01-21 Zhenhua Qiao , Wei Ren , Hua Chen , L. Bellaiche , Zhenyu Zhang , A. H. MacDonald , Qian Niu

We present a methodology based on quantum mechanics for assigning quantum conductivity when an ac field is applied across a variable gap between two plasmonic nanoparticles with an insulator sandwiched between them. The quantum tunneling…

Chains of magnetic atoms, placed on the surface of s-wave superconductors, have been established as a laboratory for the study of Majorana bound states. In such systems, the breaking of time reversal due to magnetic moments gives rise to…

Superconductivity · Physics 2021-07-16 Andreas Kreisel , Timo Hyart , Bernd Rosenow

The quantum anomalous Hall effect is a fundamental transport response of a topologically non-trivial system in zero magnetic field. Its physical origin relies on the intrinsically inverted electronic band structure and ferromagnetism, and…

We show that hybrid structures of topological insulators and materials without topological protection can be employed to create perfectly conducting channels hosted in the non-topological part. These states inherit the topological…

Mesoscale and Nanoscale Physics · Physics 2014-11-26 Sven Essert , Viktor Krueckl , Klaus Richter

Quantum anomalous Hall effect(QAHE) can only be realized at extremely low temperatures in magnetically doped topological insulators(TIs) due to limitations inherent with the doping precess. In an effort to boost the quantization temperature…

Mesoscale and Nanoscale Physics · Physics 2019-06-17 Xiong Yao , Bin Gao , Myung-Geun Han , Deepti Jain , Jisoo Moon , Jae Wook Kim , Yimei Zhu , Sang-Wook Cheong , Seongshik Oh

We show that the quantum anomalous Hall effect almost always occurs in magnetic topological insulator thin films whenever the top and bottom surface layer magnetizations are parallel, independent of the interior layer magnetization…

Mesoscale and Nanoscale Physics · Physics 2022-12-07 Chao Lei , Olle Heinonen , R. J. McQueeney , A. H. MacDonald

We present a microscopic theory of the chiral one-dimensional electron gas system localized on the sidewalls of magnetically-doped Bi$_2$Se$_3$-family topological insulator nanoribbons in the quantum anomalous Hall effect (QAHE) regime. Our…

Mesoscale and Nanoscale Physics · Physics 2016-10-05 A. Pertsova , C. M. Canali , A. H. MacDonald

In a two-dimensional electron gas, the quantized Hall conductance can be induced by a strong magnetic field, known as the quantum Hall effect, and it can also result from the strong exchange coupling of magnetic ions, dubbed as the "quantum…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Xin Liu , Hsiu-Chuan Hsu , Chao-Xing Liu

Topological insulators are electronic materials that have a bulk band gap like an ordinary insulator, but have protected conducting states on their edge or surface. The 2D topological insulator is a quantum spin Hall insulator, which is a…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 M. Z. Hasan , C. L. Kane

Proximity effect is used to generate effective topological superconductor by placing strong spin orbit interacting metals with superconducting materials, aiming to produce Majorana zero modes useful for topologically protected quantum…

Strongly Correlated Electrons · Physics 2016-02-03 Wan-Ju Li , Sung-Po Chao , Ting-Kuo Lee

We report a current scaling study of a quantum phase transition between a quantum anomalous Hall insulator and a trivial insulator on the surface of a heterostructure film of magnetic topological insulators. The transition was observed by…

Surface states of a topological insulator demonstrate interesting quantum phenomena, such as the quantum anomalous Hall (QAH) effect and the quantum magnetoelectric effect. Fermi energy tuning plays a role in inducing phase transitions and…

Mesoscale and Nanoscale Physics · Physics 2023-09-26 Ryota Watanabe , Ryutaro Yoshimi , Kei S. Takahashi , Atsushi Tsukazaki , Masashi Kawasaki , Minoru Kawamura , Yoshinori Tokura
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