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Berry curvature acts analogous to a magnetic field in the momentum-space, and it modifies the flow of charge carriers and entropy. This induces several intriguing magnetoelectric and magnetothermal transport phenomena in Weyl semimetals. %,…

Mesoscale and Nanoscale Physics · Physics 2019-08-14 Kamal Das , Amit Agarwal

We propose a generalized quantum geometric tenor to understand topological quantum phase transitions, which can be defined on the parameter space with the adiabatic evolution of a quantum many-body system. The generalized quantum geometric…

Quantum Physics · Physics 2010-07-09 Yu-Quan Ma , Shu Chen , Heng Fan , Wu-Ming Liu

By sidestepping the intractable calculations of many-body wavefunctions, density functional theory (DFT) has revolutionized the prediction of ground states of materials. However, predicting nonlinear responses--critical for next-generation…

Valley polarized twisted bilayer dice lattice hosts topologically nontrivial flat bands far from charge neutrality due to broken time reversal symmetry, whereas the ones in the vicinity of it remain topologically trivial. However, when both…

Mesoscale and Nanoscale Physics · Physics 2026-05-21 Gourab Paul , Srijata Lahiri , Bilal Tanatar , Saurabh Basu

Electronic properties of quantum materials solids are often well understood via the low energy dispersion of Bloch bands, motivating single band approximations in many metals and semiconductors. However, a closer look reveals length and…

Materials Science · Physics 2026-04-02 Nishchhal Verma , Philip J. W. Moll , Tobias Holder , Raquel Queiroz

A quantum hydrodynamic model is used to study the edge modes of chiral Berry plasmons. The transcendental equation of the dispersion relation is solved nonlinearly and semi-analytically. We predict a new one-way chiral edge state with the…

Quantum Gases · Physics 2017-07-12 Ya Zhang , Feng Zhai , Bin Guo , Lin Yi , Wei Jiang

We investigate several aspects of the thermodynamic geometry for a quantum fluid with square-well interactions using a third-order perturbation theory framework based on the path-integral-necklace analogy. A comparison is made between the…

A large Berry curvature in the vicinity of the Fermi energy is required in order to obtain a large anomalous Hall and Nernst effect. This Berry curvature can be induced by Weyl points and gapped nodal lines. One of the possible mechanisms…

Materials Science · Physics 2019-04-17 Jonathan Noky , Claudia Felser , Yan Sun

We explore the thermoelectric transport properties of a coexistence topological semimetal, characterized by the presence of both a pair of Weyl points and a nodal ring in the quantum limit. This system gives rise to complex Landau bands…

Mesoscale and Nanoscale Physics · Physics 2024-03-12 L. W. Guo , C. M. Wang

In this review, the thermoelectric properties in nodal-point semimetals with two bands are discussed. For the two-dimensional (2D) cases, it is shown that the expressions of the thermoelectric coefficients take different values depending on…

Mesoscale and Nanoscale Physics · Physics 2024-12-30 Ipsita Mandal , Kush Saha

Analytical calculations and micromagnetic simulations are used to determine the Berry curvature and topological Hall effect (THE) due to conduction electrons in small ferromagnetic particles. Our focus is on small particles of…

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…

We experimentally investigate non-linear Hall effect as zero-frequency and second-harmonic transverse voltage responses to ac electric current for topological semimetal GeTe. A thick single-crystal GeTe flake is placed on the Si/SiO$_2$…

Mesoscale and Nanoscale Physics · Physics 2023-07-12 N. N. Orlova , A. V. Timonina , N. N. Kolesnikov , E. V. Deviatov

In topological semimetals and insulators, negative longitudinal magnetoresistance and angle-dependent planar Hall effect have been reported arising from the Berry curvature. Using the Boltzmann transport theory, we present a closed-form…

Mesoscale and Nanoscale Physics · Physics 2022-05-31 Seungchan Woo , Brett Min , Hongki Min

An extension of the Hellmann-Feynman theorem to one employing dynamical parameters that vary with time according to quantum dynamics is rigorously derived, avoiding any linear response or other approximations. The resulting theorem for the…

Mesoscale and Nanoscale Physics · Physics 2020-01-10 Kyriakos Kyriakou , Konstantinos Moulopoulos

Quantum geometry, a quantum mechanical quantity comprised of Berry curvature and quantum metric, describes the geometric structure of the electronic bands in solids. The correlation between nontrivial quantum geometry and quantum materials…

We investigate the nonlinear regime of charge and energy transport through Coulomb-blockaded quantum dots. We discuss crossed effects that arise when electrons move in response to thermal gradients (Seebeck effect) or energy flows in…

Mesoscale and Nanoscale Physics · Physics 2014-09-30 Miguel A. Sierra , David Sanchez

The layer Hall effect describes electrons spontaneously deflected to opposite sides at different layers, which has been experimentally reported in the MnBi$_2$Te$_4$ thinfilms under perpendicular electric fields [Gao et al., Nature 595, 521…

Mesoscale and Nanoscale Physics · Physics 2022-08-23 Rui Chen , Hai-Peng Sun , Mingqiang Gu , Chun-Bo Hua , Qihang Liu , Hai-Zhou Lu , X. C. Xie

Berry curvature that describes local geometrical properties of energy bands can elucidate many fascinating phenomena in solid-state, photonic, and phononic systems, given its connection to global topological invariants such as the Chern…

Optics · Physics 2024-02-21 Xuefan Yin , Ye Chen , Xiaoyu Zhang , Zixuan Zhang , Susumu Noda , Chao Peng

Quantum geometry encoded in the momentum space structure of electronic wavefunctions, governs charge dynamics through Berry curvature, enabling unconventional transport and optical responses. In topological semimetals, this geometry is…

Mesoscale and Nanoscale Physics · Physics 2026-05-01 Sobhan Subhra Mishra , Thomas CaiWei Tan , Faxian Xiu , Ranjan Singh
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