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A distinguishing feature of Dirac fermions is the Berry phase of $\pi$ associated with their cyclotron motions. Since this Berry phase can be experimentally assessed by analyzing the Landau-level fan diagram of the Shubnikov-de Haas (SdH)…

Materials Science · Physics 2015-05-27 A. A. Taskin , Yoichi Ando

Quantum spin Hall insulator is characterized by the helical edge states, with the spin polarization of electron being locked to its direction of motion. Although the edge-state conduction has been observed, unambiguous evidence of the…

Mesoscale and Nanoscale Physics · Physics 2016-08-17 Wei Chen , Wei-Yin Deng , Jing-Min Hou , D. N. Shi , L. Sheng , D. Y. Xing

We report on the study of the non-trivial Berry phase in superconducting multiterminal quantum dots biased at commensurate voltages. Starting with the time-periodic Bogoliubov-de Gennes equations, we obtain a tight binding model in the…

Mesoscale and Nanoscale Physics · Physics 2020-12-15 Benoit Doucot , Romain Danneau , Kang Yang , Jean-Guy Caputo , Régis Mélin

We calculate the thermoelectric transport of spin-orbit coupled conduction electrons in the presence of topological spin textures. We show, within a controlled, semiclassical approach that includes all phase space Berry curvatures, that the…

Mesoscale and Nanoscale Physics · Physics 2023-07-26 Zachariah Addison , Lauren Keyes , Mohit Randeria

Magnetic topological phases of quantum matter are an emerging frontier in physics and material science. Along these lines, several kagome magnets have appeared as the most promising platforms. However, the magnetic nature of these materials…

Quantum oscillations can reveal Fermi surfaces and their topology in solids and provide a powerful tool for understanding transport and electronic properties. It is well established that the oscillation frequency maps the Fermi surface area…

Strongly Correlated Electrons · Physics 2023-07-11 Yongkang Li , Hengxin Tan , Binghai Yan

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 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…

Strongly Correlated Electrons · Physics 2025-09-19 Wojciech Brzezicki , Carmine Autieri , Mario Cuoco

Photoexcitation in solids brings about transitions of electrons/holes between different electronic bands. If the solid lacks an inversion symmetry, these electronic transitions support spontaneous photocurrent due to the topological…

Materials Science · Physics 2019-06-19 M. Sotome , M. Nakamura , J. Fujioka , M. Ogino , Y. Kaneko , T. Morimoto , Y. Zhang , M. Kawasaki , N. Nagaosa , Y. Tokura , N. Ogawa

Berry phase plays an important role in determining many physical properties of quantum systems. However, a Berry phase altering energy spectrum of a quantum system is comparatively rare. Here, we report an unusual tunable valley polarized…

Mesoscale and Nanoscale Physics · Physics 2021-08-18 Ya-Ning Ren , Qiang Cheng , Qing-Feng Sun , Lin He

Recent observations of current-induced magnetization switching at ferromagnet/normal-conductor interfaces have important consequences for future magnetic memory technology. In one interpretation, the switching originates from carriers with…

Fermi-surface topology governs the relationship between magnetism and superconductivity in iron-based materials. Using low-temperature transport, angle-resolved photoemission, and x-ray diffraction we show unambiguous evidence of large…

Strongly Correlated Electrons · Physics 2014-05-09 K. Gofryk , B. Saparov , T. Durakiewicz , A. Chikina , S. Danzenbächer , D. V. Vyalikh , M. J. Graf , A. S. Sefat

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 show that the geometric phase of the gyro-motion of a classical charged particle in a uniform time-dependent magnetic field described by Newton's equation can be derived from a coherent Berry phase for the coherent states of the…

Plasma Physics · Physics 2017-02-28 Hongxuan Zhu , Hong Qin

We study the role of different orientations of an applied magnetic field as well as the interplay of structural asymmetries on the characteristics of eigenstates in a quantum ring system. We use a nearly analytical model description of the…

Mesoscale and Nanoscale Physics · Physics 2015-08-05 V. Lopes-Oliveira , L. K. Castelano , G. E. Marques , S. E. Ulloa , V. Lopez-Richard

The topological insulator/ferromagnetic metal (TI/FMM) bilayer thin films emerged as promising topological surface state-based spintronic devices, most notably in their efficiency of current-induced spin torque. Using a cubic lattice model,…

Mesoscale and Nanoscale Physics · Physics 2020-10-30 Wei Chen

Topological phase in magnetic materials yields a quantized contribution to the Hall effect known as the topological Hall effect, which is often caused by skyrmions, with each skyrmion creating a magnetic flux quantum h/e. The control and…

The Berry curvature and its descendant, the Berry phase, play an important role in quantum mechanics. They can be used to understand the Aharonov-Bohm effect, define topological Chern numbers, and generally to investigate the geometric…

Computational Physics · Physics 2014-02-03 Michael Kolodrubetz

We have studied the entanglement of identical fermions in two spatial regions in terms of the Berry phase acquired by their spins. The analysis is done from the viewpoint of the geometrical interpretation of entanglement, where a fermion is…

Quantum Physics · Physics 2007-12-27 B. Basu , P. Bandyopadhyay

We characterize several phases of gapped spin systems by local order parameters defined by quantized Berry phases. This characterization is topologically stable against any small perturbation as long as the energy gap remains finite. The…

Strongly Correlated Electrons · Physics 2008-08-18 Takaaki Hirano , Hosho Katsura , Yasuhiro Hatsugai