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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.…

介观与纳米尺度物理 · 物理学 2011-11-08 Ken-Ichiro Imura , Yositake Takane , Akihiro Tanaka

The use of Berry-phase concepts has established a strong link between the anomalous Hall effect (AHE) and the topological character of the Hall currents. However, the occurrence of sign competition in the Berry curvature often hinders the…

强关联电子 · 物理学 2025-09-19 Wojciech Brzezicki , Carmine Autieri , Mario Cuoco

Various novel physical properties have emerged in Dirac electronic systems, especially the topological characters protected by symmetry. Current studies on these systems have been greatly promoted by the intuitive concepts of Berry phase…

材料科学 · 物理学 2017-01-20 Hua-Ding Song , Dian Sheng , An-Qi Wang , Jin-Guang Li , Da-Peng Yu , Zhi-Min Liao

Here we visualize the trapping of topological surface states in the circular n-p junctions on the top surface of the 7-quintuple-layer three dimensional (3D) topological insulator (TI) Sb2Te3 epitaxial films. As shown by spatially- and…

介观与纳米尺度物理 · 物理学 2022-04-06 Jun Zhang , Ye-ping Jiang , Xu-Cun Ma , Qi-Kun Xue

The Berry phase is an important concept in solids, correlated to the band topology, axion electrodynamics and potential applications of topological materials. Here, we investigate the magnetotransport and Berry phase of rare earth element…

Starting with general semiclassical equations of motion for electrons in the presence of electric and magnetic fields, we extend the Chambers formula to include in addition to a magnetic field, time-dependent electric fields and bands with…

介观与纳米尺度物理 · 物理学 2022-04-18 Emmanouil K. Kokkinis , Garry Goldstein , Dmitry Efremov , Joseph J. Betouras

We discuss the anomalous Hall effect in a two-dimensional electron gas subject to a spatially varying magnetization. This topological Hall effect (THE) does not require any spin-orbit coupling, and arises solely from Berry phase acquired by…

材料科学 · 物理学 2009-11-10 P. Bruno , V. K. Dugaev , M. Taillefumier

The Berry phase is a fundamental concept in quantum mechanics with profound implications for understanding topological properties of quantum systems. This tutorial provides a comprehensive introduction to the Berry phase, beginning with the…

介观与纳米尺度物理 · 物理学 2024-11-19 Nico Sprinkart , Elke Scheer , Angelo Di Bernardo

When quasiparticles move in condensed matters, the texture of their internal quantum structure as a function of position and momentum can give rise to Berry phases that have profound effects on materials properties. Seminal examples include…

介观与纳米尺度物理 · 物理学 2023-08-29 Hongyi Yu , Mingxing Chen , Wang Yao

Topological effects arising from the Berry curvature lead to intriguing transport signatures in quantum materials. Two such phenomena are the chiral anomaly and nonlinear Hall effect (NLHE). A unified description of these transport regimes…

材料科学 · 物理学 2026-03-25 Dhruv C. Desai , Lauren A. Tan , Jin-Jian Zhou , Shiyu Peng , Jinsoo Park , Marco Bernardi

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…

其他凝聚态物理 · 物理学 2016-05-11 A. Alexandradinata , B. Andrei Bernevig

The theory of the shift current is thus far geometrical without being topological. This means that the real-space displacement/shift of a photoexcited quasiparticle depends on the geometric Berry phase, but the Berry phase is not quantized…

介观与纳米尺度物理 · 物理学 2024-09-04 A. Alexandradinata

We develop a theory for the electrical and thermal transverse linear response functions such as the Hall, Nernst and thermal Hall effects in magnetic materials that harbor topological spin textures like skyrmions. In addition to the…

介观与纳米尺度物理 · 物理学 2025-08-05 Zachariah Addison , Lauren Keyes , Mohit Randeria

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…

介观与纳米尺度物理 · 物理学 2017-10-25 Xin Dai , Z. Z. Du , Hai-Zhou Lu

Two-dimensional compounds with non-zero Berry curvature are ideal systems to study exotic and technologically favourable thermoelectric and magnetoelectric properties. Within this class of materials, the topological trivial and non-trivial…

介观与纳米尺度物理 · 物理学 2021-11-10 Daniel Faílde , Daniel Baldomir

In two-dimensional layered quantum materials, the stacking order of the layers determines both the crystalline symmetry and electronic properties such as the Berry curvature, topology and electron correlation. Electrical stimuli can…

For a long period of time, we have been seeking how Berry curvature influnces the transport properties in materials breaking time-reversal symmetry. In time-reversal symmetric material, there will be no thermoelectric current induced by…

介观与纳米尺度物理 · 物理学 2020-12-15 Hongchao Li

In a magnetic texture, the spin of a conduction electron is forced to be aligned to the localized moment. As a result, the topology of the magnetic texture affects the electron dynamics in nontrivial ways. A representative example is the…

介观与纳米尺度物理 · 物理学 2022-12-22 Hidetoshi Masuda , Takeshi Seki , Jun-ichiro Ohe , Yoichi Nii , Koki Takanashi , Yoshinori Onose

Ever since its discovery, the Berry phase has permeated through all branches of physics. Over the last three decades, it was gradually realized that the Berry phase of the electronic wave function can have a profound effect on material…

介观与纳米尺度物理 · 物理学 2010-12-01 Di Xiao , Ming-Che Chang , Qian Niu

We develop a theory of nonlinear response to an electric field of two-dimensional (2D) fermions with topologically non-trivial wave functions characterized by the Berry phase $\Phi_n = n \pi, n = 1,2,...$. In particular, we find that owing…

介观与纳米尺度物理 · 物理学 2020-04-22 O. E. Raichev , M. A. Zudov