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The quantum Hall liquid is a novel state of matter with profound emergent properties such as fractional charge and statistics. Existence of the quantum Hall effect requires breaking of the time reversal symmetry caused by an external…

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

We study dynamics of electrons in a magnetic field using a network model with two channels per link with random mixing in a random intrachannel potential; the channels represent either two Landau levels or two spin states. We consider…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 V. Kagalovsky , B. Horovitz , Y. Avishai

The kinetic energy of electrons in a magnetic field is quenched resulting in a discrete set of highly degenerate Landau levels (LL) which gives rise to fascinating phenomena like the de Haas-van Alphen effect (dHvAe) or the integer and…

Strongly Correlated Electrons · Physics 2023-08-16 Valentin Leeb , Johannes Knolle

Magnetotransport measurements performed on several well-characterized highly oriented pyrolitic graphite and single crystalline Kish graphite samples reveal a reentrant metallic behavior in the basal-plane resistance at high magnetic…

Strongly Correlated Electrons · Physics 2009-11-07 Y. Kopelevich , J. H. S. Torres , R. R. da Silva , F. Mrowka , H. Kempa , P. Esquinazi

Exploring a backgated low density two-dimensional hole sample in the large $r_s$ regime we found a surprisingly rich phase diagram. At the highest densities, beside the $\nu=1/3$, 2/3, and 2/5 fractional quantum Hall states, we observe both…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 G. A. Csáthy , Hwayong Noh , D. C. Tsui , L. N. Pfeiffer , K. W. West

The results of the longitudinal and Hall magnetoresistivity measurements in the Shubnikov - de Haas oscillation regime for the HgCdTe/HgTe/HgCdTe heterostructures with a wide (20.3 nm) HgTe quantum well are presented. An anomalous phase…

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

The quantized version of anomalous Hall effect realized in magnetic topological insulators (MTIs) has great potential for the development of topological quantum physics and low-power electronic/spintronic applications. To enable…

Mesoscale and Nanoscale Physics · Physics 2021-05-25 Yuchen Ji , Zheng Liu , Peng Zhang , Lun Li , Shifei Qi , Peng Chen , Yong Zhang , Qi Yao , Zhongkai Liu , Kang L. Wang , Zhenhua Qiao , Xufeng Kou

The chirality associated with broken time reversal symmetry in magnetically doped topological insulators has important implications to the quantum transport phenomena. Here we report the anomalous Hall effect studies in Mn- and Cr-doped…

Mesoscale and Nanoscale Physics · Physics 2022-04-28 Chang Liu , Yunyi Zang , Yan Gong , Ke He , Xucun Ma , Qi-Kun Xue , Yayu Wang

The results of experimental study of interference induced magnetoconductivity in narrow HgTe quantum wells of hole-type conductivity with a normal energy spectrum are presented. Interpretation of the data is performed with taking into…

Mesoscale and Nanoscale Physics · Physics 2018-07-11 G. M. Minkov , A. V. Germanenko , O. E. Rut , A. A. Sherstobitov , S. A. Dvoretski , N. N. Mikhailov

The quantum anomalous Hall effect has recently been observed experimentally in thin films of Cr doped (Bi,Sb)$_2$Te$_3$ at a low temperature ($\sim$ 30mK). In this work, we propose realizing the quantum anomalous Hall effect in more…

Mesoscale and Nanoscale Physics · Physics 2014-10-09 Qingze Wang , Xin Liu , Hai-Jun Zhang , Nitin Samarth , Shou-Cheng Zhang , Chao-Xing Liu

In a GaAs/AlGaAs two-dimensional electron system with two occupied subbands, the experimentally determined phase diagram in the density-magnetic field plane exhibits rich topological features. Ring-like structures are observed at even…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 X. C. Zhang , D. R. Faulhaber , H. W. Jiang

The quantum anomalous Hall effect (QAHE) has recently been reported to emerge in magnetically-doped topological insulators. Although its general phenomenology is well established, the microscopic origin is far from being properly understood…

Topological insulators lacking time-reversal symmetry can exhibit the quantum anomalous Hall effect. Odd-layer thick MnBi$_2$Te$_4$ is a promising platform due to its intrinsic magnetic nature, however, quantization is rarely observed in…

The quantum anomalous Hall effect is a intriguing topological nontrivial phase arising from spontaneous magnetization and spin-orbit coupling. However, the tremendously harsh realizing requirements of the quantum anomalous Hall effects in…

Computational Physics · Physics 2020-02-18 Ping Li , Tian-Yi Cai

We report on the observation of the Ising quantum Hall ferromagnet with Curie temperature $T_C$ as high as 2 K in a modulation-doped (Cd,Mn)Te heterostructure. In this system field-induced crossing of Landau levels occurs due to the giant…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 J. Jaroszynski , T. Andrearczyk , G. Karczewski , J. Wrobel , T. Wojtowicz , E. Papis , E. Kaminska , A. Piotrowska , Dragana Popovic , T. Dietl

We report Kondo-like behaviour in a quantum antidot (a submicron depleted region in a two-dimensional electron gas) in the quantum-Hall regime. When both spin branches of the lowest Landau level encircle the antidot in a magnetic field…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M. Kataoka , C. J. B. Ford , M. Y. Simmons , D. A. Ritchie

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…

The quantized version of the anomalous Hall effect has been predicted to occur in magnetic topological insulators, but the experimental realization has been challenging. Here, we report the observation of the quantum anomalous Hall (QAH)…

Magnetotransport measurements on two-dimensional electrons confined to wide GaAs quantum wells reveal a remarkable evolution of the ground state at filling factor $\nu=1/2$ as we tilt the sample in the magnetic field. Starting with a…

Mesoscale and Nanoscale Physics · Physics 2015-06-08 Sukret Hasdemir , Yang Liu , H. Deng , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin