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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

Semiconductor transistors are essential elements of electronic circuits as they enable, for example, the isolation or amplification of voltage signals. While conventional transistors are point-type (lumped-element) devices, it may be highly…

Mesoscale and Nanoscale Physics · Physics 2023-03-01 Tatiana G. Rappoport , Tiago A. Morgado , Sylvain Lannebère , Mário G. Silveirinha

The eigenvalues of a parameter-dependent Hamiltonian matrix form a band structure in parameter space. In such $N$-band systems, the quantum geometric tensor (QGT), consisting of the Berry curvature and quantum metric tensors, is usually…

Other Condensed Matter · Physics 2021-08-18 Ansgar Graf , Frédéric Piéchon

Recently by using quantized Berry phases, a prescription for a local characterization of gapped topological insulators is given. One requires the ground state is gapped and is invariant under some anti-unitary operation. A spin liquid which…

Strongly Correlated Electrons · Physics 2015-06-25 Yasuhiro Hatsugai

We have measured the differential resistance in a two-dimensional topological insulator (2DTI) in a HgTe quantum well, as a function of the applied dc current. The transport near the charge neutrality point is characterized by a pair of…

Mesoscale and Nanoscale Physics · Physics 2019-01-30 G. M. Gusev , Z. D. Kvon , A. D. Levin , E. B. Olshanetsky , O. E. Raichev , N. N. Mikhailovand , S. A. Dvoretsky

We construct an effective field theory for an interacting Fermi liquid with nonzero Berry curvature at zero temperature, called the Berry Fermi liquid. We start with the extended phase space formalism, incorporating physical time into the…

Strongly Correlated Electrons · Physics 2024-07-09 Xiaoyang Huang

We develop a semiclassical theory for the dynamics of electrons in a magnetic Bloch band, where the Berry phase plays an important role. This theory, together with the Boltzmann equation, provides a framework for studying transport problems…

Condensed Matter · Physics 2009-10-28 M. C. Chang , Q. Niu

Accurately modeling the electronic structure of materials is a persistent challenge to high-throughput screening. A promising means of balancing accuracy against computational cost are non-self-consistent calculations with hybrid…

Materials Science · Physics 2020-05-04 Jonathan M. Skelton , David S. D. Gunn , Sebastian Metz , Stephen C. Parker

The topological properties of a material's electronic structure are encoded in its Berry curvature, a quantity which is intimately related to the transverse electrical conductivity. In transition metal dichalcogenides with broken inversion…

Mesoscale and Nanoscale Physics · Physics 2020-10-21 Fei Xue , V. P. Amin , P. M. Haney

Berry curvature is a fundamental element to characterize topological quantum physics, while a full measurement of Berry curvature in momentum space was not reported for topological states. Here we achieve two-dimensional Berry curvature…

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

The Berry connection plays a central role in our description of the geometric phase and topological phenomena. In condensed matter, it describes the parallel transport of Bloch states and acts as an effective "electromagnetic" vector…

Mesoscale and Nanoscale Physics · Physics 2019-01-31 Giandomenico Palumbo , Nathan Goldman

The Hall effect, ever intriguing since its discovery, has spurred the exploration of its phenomena, intensified by advances in topology and novel materials. Differentiating the ordinary Hall effect from extraordinary properties like the…

Materials Science · Physics 2025-09-23 ShengNan Zhang , Zhihao Liu , Hanqi Pi , Zhong Fang , Hongming Weng , QuanSheng Wu

Layered Zintl compounds exhibit significant tunability of thermoelectric (TE) parameters facilitated by their multiple elemental combinations and flexibility in stacking order within the layers. In this work, the effect of stacking order on…

Materials Science · Physics 2025-12-04 Aadil Fayaz Wani , Nirma Kumari , SuDong Park , Byungki Ryu

Despite sharing a common lattice structure, monolayer M$_2$X$_2$ compounds realize quantum anomalous Hall phases with distinct Chern numbers, a striking phenomenon that has not been fully exploared. Combining first-principles calculations…

Materials Science · Physics 2025-09-09 Zujian Dai , Xudong Zhu , Lixin He

Topological aspects of electron wavefunction play a crucial role in determining the physical properties of materials. Berry curvature and Chern number are used to define the topological structure of electronic bands. While Berry curvature…

Crystals with symmetry-protected topological order, such as topological insulators, promise coherent spin and charge transport phenomena even in the presence of disorder at room temperature. Still, a major obstacle towards an application of…

Mesoscale and Nanoscale Physics · Physics 2019-04-17 Paul Seifert , Marinus Kundinger , Gang Shi , Xiaoyue He , Kehui Wu , Yongqing Li , Alexander Holleitner , Christoph Kastl

Thermoelectric (TE) devices have been attracting increasing attention because of their ability to convert heat directly to electricity. To date, improving the TE figure of merit remains the key challenge. The advent of the topological…

Mesoscale and Nanoscale Physics · Physics 2016-08-02 T. H. Wang , H. T. Jeng

The intrinsic spin Hall conductivity and the anomalous Hall conductivity of ferromagnetic L1$_0$-CoPt are studied using first principle calculations of the spin Berry and Berry curvatures, respectively. We find that the Berry curvature and…

Materials Science · Physics 2019-01-18 Guanxiong Qu , Kohji Nakamura , Masamitsu Hayashi

Despite the extensive studies of topological states, their characterization in strongly nonlinear classical systems has been lacking. In this work, we identify the proper definition of Berry phase for nonlinear bulk modes and characterize…

Disordered Systems and Neural Networks · Physics 2022-06-22 Di Zhou , D. Zeb Rocklin , Michael Leamy , Yugui Yao