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Liouville's theorem on the conservation of phase space volume is violated by Berry phase in the semiclassical dynamics of Bloch electrons. This leads to a modification of the phase space density of states, whose significance is discussed in…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 Di Xiao , Junren Shi , Qian Niu

Two-dimensional van der Waals heterostructures can be engineered into artificial superlattices that host flat bands with significant Berry curvature and provide a favorable environment for the emergence of novel electron dynamics. In…

Mesoscale and Nanoscale Physics · Physics 2023-07-06 Vo Tien Phong , E. J. Mele

Recent experimental and numerical evidence suggest an intriguing universal relationship between the Fermi surface anisotropy of the non-interacting parent two-dimensional electron gas and the strongly correlated composite Fermi liquid…

Strongly Correlated Electrons · Physics 2020-05-18 Jia Ning Leaw , Ho-Kin Tang , Maxim Trushin , Fakher F. Assaad , Shaffique Adam

We argue that the gauge-fermion interaction in multiflavour quantum electrodynamics in $(2 + 1)$-dimensions is responsible for non-fermi liquid behaviour in the infrared, in the sense of leading to the existence of a non-trivial (quasi)…

High Energy Physics - Theory · Physics 2009-10-28 I. J. R. Aitchison , N. E. Mavromatos

We study the adiabatic evolution of a two-level model in the presence of an external classical electric field. The coupling between the quantum model and the classical field is taken in the electric dipole approximation. In this regime, we…

Quantum Physics · Physics 2009-07-25 A. C. Aguiar Pinto , M. Moutinho , M. T. Thomaz

Electronic transport in the $\alpha-\mathcal{T}_3$ model of pseudospin-1 fermions with a finite gap is studied within the semiclassical Boltzmann approximation. We show that coupling of the orbital magnetic moment to the external magnetic…

Mesoscale and Nanoscale Physics · Physics 2023-07-12 Adesh Singh , G. Sharma

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…

Mesoscale and Nanoscale Physics · Physics 2019-12-24 F. Couëdo , H. Irie , T. Akiho , K. Suzuki , K. Onomitsu , K. Muraki

The anomalous Nernst effect (ANE) is a member of the extensive family of topological effects in solid state physics. It converts a heat current into electric voltage and originates from the Berry curvature of electronic bands near the Fermi…

Materials Science · Physics 2023-03-24 Ondřej Stejskal , Martin Veis , Jaroslav Hamrle

Non-Fermi liquids in $d=2$ spatial dimensions can arise from coupling a Fermi surface to a gapless boson. At finite temperature, however, the perturbative quantum field theory description breaks down due to infrared divergences. These are…

Strongly Correlated Electrons · Physics 2020-08-05 Jeremias Aguilera Damia , Mario Solis , Gonzalo Torroba

Motivated by recent interest in chiral superconductivity in narrow bands, we develop a general framework to clarify how band topology and quantum geometry affect superconducting pairing and connect to the two-body problem. Berry curvature…

Mesoscale and Nanoscale Physics · Physics 2026-05-29 Daniil Karuzin , Zhiyu Dong , Leonid Levitov

In this work, we use the thin-layer quantization procedure to study the physical implications due to curvature effects on a quantum dot in the presence of an external magnetic field. Among the various physical implications due to the…

Mesoscale and Nanoscale Physics · Physics 2019-11-25 Luis Fernando C. Pereira , Fabiano M. Andrade , Cleverson Filgueiras , Edilberto O. Silva

Berry phases strongly affect the properties of crystalline materials, giving rise to modifications of the semiclassical equations of motion that govern wave-packet dynamics. In non-Hermitian systems, generalizations of the Berry connection…

Mesoscale and Nanoscale Physics · Physics 2021-01-01 Navot Silberstein , Jan Behrends , Moshe Goldstein , Roni Ilan

We theoretically study the effect of the Berry curvature on the transport properties of Weyl semimetals in the nonadiabatic process, which results in nonlinear optical responses. In the adiabatic process, the Berry curvature, which involves…

Mesoscale and Nanoscale Physics · Physics 2017-06-28 Hiroaki Ishizuka , Tomoya Hayata , Masahito Ueda , Naoto Nagaosa

Based on the numerical solution of the quantum lattice Boltzmann method in curved space, we predict the onset of a quantized alternating current on curved graphene sheets. Such numerical prediction is verified analytically via a set of…

Mesoscale and Nanoscale Physics · Physics 2019-04-17 Kyriakos Flouris , Sauro Succi , Hans J. Herrmann

To give a general description of the influences of electric fields or currents on magnetization dynamics, we developed a semiclassical theory for the magnetization implicitly coupled to electronic degrees of freedom. In the absence of…

Mesoscale and Nanoscale Physics · Physics 2018-07-25 Bangguo Xiong , Hua Chen , Xiao Li , Qian Niu

We consider the creation of artificial gauge magnetic and electric fields created when a two-level atom interacts with an optical Ferris wheel light field.These fields have the spatial structure of the optical Ferris wheel field intensity…

Quantum Physics · Physics 2016-09-05 V. E. Lembessis , A. Alqarni , S. Alshamari , A. Siddig , O. M. Aldossary

We develop a theory of nonlinear response to an electric field of two-dimensional (2D) fermions with topologically non-trivial wave functions characterized by the Berry phase $\Phi_n = n \pi, n = 1,2,...$. In particular, we find that owing…

Mesoscale and Nanoscale Physics · Physics 2020-04-22 O. E. Raichev , M. A. Zudov

In non-centrosymmetric crystals such as MnSi, magnetic order can take the form of a skyrmion crystal (SkX) . In this phase, conduction electrons coupled to the local magnetic moments acquire a Berry's phase, leading to an emergent…

Strongly Correlated Electrons · Physics 2014-08-01 Haruki Watanabe , S. A. Parameswaran , S. Raghu , Ashvin Vishwanath

A class of strongly interacting many-body fermionic systems in 2+1D non-relativistic conformal field theory is examined via the gauge-gravity duality correspondence. The 5D charged black hole with asymptotic Schrodinger isometry in the bulk…

High Energy Physics - Theory · Physics 2014-10-03 Juven Wang

We show that topological metals lacking time-reversal symmetry have an intrinsic non-quantized component of the anomalous Hall conductivity which is contributed not only by the Berry phase of quasiparticles on the Fermi surface, but also by…

Strongly Correlated Electrons · Physics 2025-07-16 Ivan Pasqua , Michele Fabrizio
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