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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

Berry phase physics is closely related to a number of topological states of matter. Recently discovered topological semimetals are believed to host a nontrivial $\pi$ Berry phase to induce a phase shift of $\pm 1/8$ in the quantum…

介观与纳米尺度物理 · 物理学 2016-08-17 C. M. Wang , Hai-Zhou Lu , Shun-Qing Shen

By studying the topological invariance andBerry phase in non-Hermitian systems, we reveal the basic properties of the complex Berry phase and generalize the global Berry phases Q to identify the topological invariance for non-Hermitian…

量子物理 · 物理学 2015-02-03 Shi-Dong Liang , Guang-Yao Huang

Electron motion in crystals is governed by the coupling between crystal momentum and internal degrees of freedom such as spin implicit in the band structure. The description of this coupling in terms of a momentum-dependent effective field…

介观与纳米尺度物理 · 物理学 2019-12-24 F. Couëdo , H. Irie , T. Akiho , K. Suzuki , K. Onomitsu , K. Muraki

The picture of how a gap closes in a semiconductor has been radically transformed by topological concepts. Instead of the gap closing and immediately re-opening, topological arguments predict that, in the absence of inversion symmetry, a…

The theoretical identification of crystalline topological materials has enjoyed sustained success in simplified materials models, often by singling out discrete symmetry operations protecting the topological phase. When band structure…

材料科学 · 物理学 2026-05-15 Emanuele Maggio

We have observed the Berry phase effect associated with interband coherence in topological surface states (TSSs) using two-color high-harmonic spectroscopy. This Berry phase accumulates along the evolution path of strong field-driven…

光学 · 物理学 2024-04-10 Ya Bai , Yang Jiang , Wenyang Zheng , Jiayin Chen , Shuo Wang , Candong Liu , Ruxin Li , Peng Liu

We study topological properties of phase transition points of two topologically non-trivial $\mathbb{Z}_2$ classes (D and DIII) in one dimension by assigning a Berry phase defined on closed circles around the gap closing points in the…

强关联电子 · 物理学 2016-09-20 Linhu Li , Chao Yang , Shu Chen

Berry phase in semiconductor quantum dots (QDs) can be induced by moving the dots adiabatically in a closed loop with the application of the distortion potential in the lateral direction. We show that the Berry phase is highly sensitive to…

介观与纳米尺度物理 · 物理学 2014-07-15 Sanjay Prabhakar , Roderick Melnik , Luis L Bonilla

We propose the $\mathbb{Z}_Q$ Berry phase as a topological invariant for higher-order symmetry-protected topological (HOSPT) phases for two- and three-dimensional systems. It is topologically stable for electron-electron interactions…

强关联电子 · 物理学 2020-01-15 Hiromu Araki , Tomonari Mizoguchi , Yasuhiro Hatsugai

We study and present the results of Berry connection for the topological states in quantum matter. The Berry connection plays a central role in the geometric phase and topological phenomenon in quantum many-body system. We present the…

强关联电子 · 物理学 2019-06-12 Y R Kartik , Rahul S , Ranjith Kumar R , Sujit Sarkar

Quantum oscillations can be used to determine properties of the Fermi surface of metals by varying the magnitude and orientation of an external magnetic field. Topological insulator surface states are an unusual mix of normal and Dirac…

介观与纳米尺度物理 · 物理学 2013-02-11 Anthony R. Wright , Ross H. McKenzie

Within the framework of exact quantum electrodynamics in dielectric, we study the topological Berry phase of a classically pumped $\Lambda$-type three-level atom, prepared initially in a superposition of its two pumped levels and located…

量子物理 · 物理学 2011-09-05 M. S. Ateto

The exploration of the Berry phase in classical mechanics has opened new frontiers in understanding the dynamics of physical systems, analogous to quantum mechanics. Here, we show controlled accumulation of the Berry phase in a two-level…

量子物理 · 物理学 2025-04-04 Kazi T. Mahmood , M. Arif Hasan

We propose the creation of a two-dimensional topological semimetal in a semiconductor artificial lattice with triangular symmetry. An in-plane magnetic field drives a quantum phase transition between the topological insulating and…

介观与纳米尺度物理 · 物理学 2017-08-09 Tommy Li , Oleg P. Sushkov

The topological phases of matter are characterized using the Berry phase, a geometrical phase, associated with the energy-momentum band structure. The quantization of the Berry phase, and the associated wavefunction polarization, manifest…

Bi$_{2}$Se$_{3}$ is a well known 3D-topological insulators(TI) with a non-trivial Berry phase of $ \left(2n+1\right)\pi $ attributed to the topology of the band structure. The Berry phase shows non-topological deviations from $…

介观与纳米尺度物理 · 物理学 2015-06-23 Parijat Sengupta

We have analysed here the equivalence of RVB states with $\nu=1/2$ FQH states in terms of the Berry Phase which is associated with the chiral anomaly in 3+1 dimensions. It is observed that the 3-dimensional spinons and holons are…

超导电性 · 物理学 2009-10-31 B. Basu , D. Pal , P. Bandyopadhyay

Topological properties lie at the heart of many fascinating phenomena in solid state systems such as quantum Hall systems or Chern insulators. The topology can be captured by the distribution of Berry curvature, which describes the geometry…

量子气体 · 物理学 2016-05-31 N. Fläschner , B. S. Rem , M. Tarnowski , D. Vogel , D. -S. Lühmann , K. Sengstock , C. Weitenberg

We have shown that the study of topological aspects of the underlying geometry in a ferromagnetic spin system gives rise to an intrinsic Berry phase. This real space Berry phase arises due to the spin rotations of conducting electrons which…

介观与纳米尺度物理 · 物理学 2007-05-23 B. Basu , P. Bandyopadhyay
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