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Quantum materials are characterized by electromagnetic responses intrinsically linked to the geometry and topology of electronic wavefunctions, encoded in the quantum metric and Berry curvature. Whereas Berry curvature-mediated transport…

Mesoscale and Nanoscale Physics · Physics 2025-08-26 Giacomo Sala , Maria Teresa Mercaldo , Klevis Domi , Stefano Gariglio , Mario Cuoco , Carmine Ortix , Andrea D. Caviglia

Berry curvature is an imaginary component of the quantum geometric tensor (QGT) and is well studied in many branches of modern physics; however, the quantum metric as a real component of the QGT is less explored. Here, by using tunable…

The surface of a 3D topological insulator is a new type of two dimensional electron gas (2DEG). The exactly quantized magneto-optical or axionic response of a 3D topological insulator is a direct result of the Berry's phase protected…

Mesoscale and Nanoscale Physics · Physics 2011-10-24 M. Zahid Hasan

The study of quantum geometry effects in materials has been one of the most important research directions in recent decades. The quantum geometry of a material is characterized by the quantum geometry tensor of the Bloch states. The…

Materials Science · Physics 2024-09-17 Hui Li , Chengping Zhang , Chengjie Zhou , Chen Ma , Xiao Lei , Zijing Jin , Hongtao He , Baikui Li , Kam Tuen Law , Jiannong Wang

Topological insulators have been proposed to be best characterized as bulk magnetoelectric materials that show response functions quantized in terms of fundamental physical constants. Here we lower the chemical potential of…

Mesoscale and Nanoscale Physics · Physics 2016-12-07 Liang Wu , M. Salehi , N. Koirala , J. Moon , S. Oh , N. P. Armitage

Quantum transport in magnetic topological insulators reveals the strong interplay between the magnetism and topology of electronic band structures. A recent experiment on magnetically doped topological insulator Bi2Se3 thin films showed the…

Mesoscale and Nanoscale Physics · Physics 2020-05-27 Huan-Wen Wang , Bo Fu , Shun-Qing Shen

The quasiclassical dynamics is studied for charge carriers moving on the surface of 3D topological insulator of Bi2Te3 type and subjected to static magnetic field. The effects connected to the symmetry changes of electron isoenergetic…

Mesoscale and Nanoscale Physics · Physics 2015-04-01 V. Ya. Demikhovskii , R. V. Turkevich

Three-dimensional topological insulators are characterized by the presence of protected gapless spin helical surface states. In realistic samples these surface states are extended from one surface to another, covering the entire sample.…

Mesoscale and Nanoscale Physics · Physics 2011-11-08 Ken-Ichiro Imura , Yositake Takane , Akihiro Tanaka

Nonlinear electronic transport has emerged as a powerful probe of the quantum geometry in topological quantum materials, where the band topology and broken symmetries facilitate power law current voltage responses beyond Ohms law. While…

The quantum geometric tensor, which has the quantum metric and Berry curvature as its real and imaginary parts, plays a key role in the transport properties of condensed matter systems. In the nonlinear regime, the quantum metric dipole and…

Mesoscale and Nanoscale Physics · Physics 2025-05-02 Xu Yang , Brian Skinner

Unlike broken time-reversal symmetric (TRS) systems with a defined Chern number, directly measuring the bulk $Z_{2}$ invariant and Berry curvature (if nonzero) in topological insulators and their higher-order topological families remains an…

Mesoscale and Nanoscale Physics · Physics 2026-01-12 Pok Man Chiu

The Berry curvature and quantum metric are the imaginary part and real part, respectively, of the quantum geometric tensor which characterizes the topology of quantum states. The former is known to generate a zoo of important discoveries…

An intriguing phenomenon in topological semimetals and topological insulators is the negative magnetoresistance (MR) observed when a magnetic field is applied along the current direction. A prevailing understanding to the negative MR in…

Mesoscale and Nanoscale Physics · Physics 2017-10-25 Xin Dai , Z. Z. Du , Hai-Zhou Lu

The interface between a superconductor and a topological insulator has been proposed to harbor novel quasiparticles that realize physical schemes for fault-tolerant quantum computation. Here, we present high resolution angle-resolved…

Mesoscale and Nanoscale Physics · Physics 2009-10-08 Y. Xia , L. Wray , D. Qian , D. Hsieh , A. Pal , H. Lin , A. Bansil , D. Grauer , Y. S. Hor , R. J. Cava , M. Z. Hasan

Topological matter in 3D is characterized by the presence of a topological BF term in its long-distance effective action. We show that, in 3D, there is another marginal term that must be added to the action in order to fully determine the…

Strongly Correlated Electrons · Physics 2015-05-27 M. Cristina Diamantini , Pasquale Sodano , Carlo A. Trugenberger

Quantum metrology is deeply connected to quantum geometry, through the fundamental notion of quantum Fisher information. Inspired by advances in topological matter, it was recently suggested that the Berry curvature and Chern numbers of…

Quantum Physics · Physics 2024-11-12 Min Yu , Xiangbei Li , Yaoming Chu , Bruno Mera , F. Nur Ünal , Pengcheng Yang , Yu Liu , Nathan Goldman , Jianming Cai

We study a class of translational-invariant insulators with discrete rotational symmetry. These insulators have no spin-orbit coupling, and in some cases have no time-reversal symmetry as well, i.e., the relevant symmetries are purely…

Other Condensed Matter · Physics 2016-05-11 A. Alexandradinata , B. Andrei Bernevig

The Berry curvature plays a key role in the magnetic transport of topological materials. Yet, it is not clear whether the Berry curvature by itself can give rise to universal transport phenomena with specific scaling behaviors. In this…

Mesoscale and Nanoscale Physics · Physics 2023-04-20 Min-Xue Yang , Hai-Dong Li , Wei Luo , Bingfeng Miao , Wei Chen , D. Y. Xing

Ideal Chern insulating phases arise in two-dimensional systems with broken time-reversal symmetry. They are characterized by having nearly-flat bands, and a uniform quantum geometry -- which combines the Berry curvature and quantum metric…

Mesoscale and Nanoscale Physics · Physics 2022-04-18 Christian Northe , Giandomenico Palumbo , Jonathan Sturm , Christian Tutschku , Ewelina M. Hankiewicz

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
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