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The quantum oscillation is an important probe for the detection of a topological insulator(TI) surface states by means of electrical transport since the Shubnikov-de Haas oscillations allow to extract the Berry Phase which is the key test…

Mesoscale and Nanoscale Physics · Physics 2020-01-28 Debarghya Mallick , Shoubhik Mandal , R. Ganesan , P. S. Anil Kumar

Experimentally feasible methods to determine the Berry phase, a fundamental quantity characterizing a quantum material, are often needed in applications. We develop an approach to detecting the Berry phase by using a class of…

Mesoscale and Nanoscale Physics · Physics 2024-08-23 Li-Li Ye , Cheng-Zhen Wang , Ying-Cheng Lai

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…

Mesoscale and Nanoscale Physics · Physics 2016-08-17 C. M. Wang , Hai-Zhou Lu , Shun-Qing Shen

A Berry phase of odd multiples of $\pi$ inferred from quantum oscillations (QOs) has often been treated as evidence for nontrivial reciprocal space topology. However, disentangling the Berry phase values from the Zeeman effect and the…

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…

Mesoscale and Nanoscale Physics · Physics 2024-11-19 Nico Sprinkart , Elke Scheer , Angelo Di Bernardo

The geometric phase (Berry phase) of an electronic wave function is the fundamental basis of the topological properties in solids. Modulating band structure provides a tuning knob for the Berry phase, and in the extreme case drives a…

Materials Science · Physics 2022-01-12 Apurva Gaikwad , Song Sun , Peipei Wang , Liyuan Zhang , Jennifer Cano , Xi Dai , Xu Du

The phase of quantum magneto-oscillations is often associated with the Berry phase and is widely used to argue in favor of topological nontriviality of the system (Berry phase $2\pi n+\pi$). Nevertheless, the experimentally determined value…

Strongly Correlated Electrons · Physics 2018-05-21 A. Yu. Kuntsevich , A. V. Shupletsov , G. M. Minkov

In quantum mechanics, a quantum wavepacket may acquire a geometrical phase as it evolves along a cyclic trajectory in parameter space. In condensed matter systems, the Berry phase plays a crucial role in fundamental phenomena such as the…

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…

Mesoscale and Nanoscale Physics · Physics 2013-02-11 Anthony R. Wright , Ross H. McKenzie

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…

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

Topologically non-trivial electronic structures can give rise to a range of unusual physical phenomena, and the interplay of band topology with other effects such as electronic correlations and magnetism requires further exploration. The…

Strongly Correlated Electrons · Physics 2019-05-07 Fan Wu , Chunyu Guo , Michael Smidman , Jinglei Zhang , Ye Chen , John Singleton , Huiqiu Yuan

The accumulation of non-trivial geometric phases in a material's response is often a tell-tale sign of a rich underlying internal structure. Studying quantum oscillations provides one of the ways to determine these geometrical phases, such…

Mesoscale and Nanoscale Physics · Physics 2019-10-22 Biswajit Datta , Pratap Chandra Adak , Li-kun Shi , Kenji Watanabe , Takashi Taniguchi , Justin C. W. Song , Mandar M. Deshmukh

We show the existence of Lorentz invariant Berry phases generated, in the Stueckleberg-Horwitz-Piron manifestly covariant quantum theory (SHP), by a perturbed four dimensional harmonic oscillator. These phases are associated with a…

Mathematical Physics · Physics 2015-06-18 Y. Bachar , R. I. Arshansky , L. P. Horwitz , I. Aharonovich

The geometric or Berry phase, a characteristic of quasiparticles, is fundamental to the underlying quantum materials. The discoveries of new materials at a rapid pace nowadays call for efficient detection of the Berry phase. Utilizing…

Mesoscale and Nanoscale Physics · Physics 2019-05-01 Cheng-Zhen Wang , Chen-Di Han , Hong-Ya Xu , Ying-Cheng Lai

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…

Quantum Physics · Physics 2015-02-03 Shi-Dong Liang , Guang-Yao Huang

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…

Mesoscale and Nanoscale Physics · Physics 2014-07-15 Sanjay Prabhakar , Roderick Melnik , Luis L Bonilla

We propose a topological quantum phase transition for quantum states with different Berry phases in hole-doped III-V semiconductor quantum wells with bulk and structure inversion asymmetry. The Berry phase of the occupied Bloch states can…

Mesoscale and Nanoscale Physics · Physics 2007-08-09 Bin Zhou , Chao-Xing Liu , Shun-Qing Shen

A study of the Fermi surface of the putative topological semimetal Pd$_3$Pb has been carried out using Shubnikov-de Haas (SdH) oscillations measured in fields of up to 60 T. Pd$_3$Pb has garnered attention in the community due to a peculiar…

Shubnikov-de Haas (SdH) oscillations, the most well-known magneto-oscillations caused by the quantization of electron energy levels in the presence of magnetic fields in two-dimensional (2D) electron systems, can be used to determine…

Mesoscale and Nanoscale Physics · Physics 2021-01-07 Ya-Ning Ren , Mo-Han Zhang , Chao Yan , Yu Zhang , Lin He

We investigate the properties of antiferromagnetic spin-S ladders with the help of local Berry phases defined by imposing a twist on one or a few local bonds. In gapped systems with time reversal symmetry, these Berry phases are quantized,…

Strongly Correlated Electrons · Physics 2014-02-20 Natalia Chepiga , Frédéric Michaud , Frédéric Mila
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