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The intrinsic anomalous Hall effect in metallic ferromagnets is shown to be controlled by Berry phases accumulated by adiabatic motion of quasiparticles on the Fermi surface, and is purely a Fermi-liquid property, not a ``bulk'' Fermi sea…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 F. D. M. Haldane

Whenever a quantum system undergoes a cycle governed by a slow change of parameters, it acquires a phase factor: the geometric phase. Its most common formulations are known as the Aharonov-Bohm, Pancharatnam and Berry phases, but both prior…

The detailed theoretical understanding of quantum spin dynamics in various molecular magnets is an important step on the roadway to technological applications of these systems. Quantum effects in both ferromagnetic and antiferromagnetic…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Michael N. Leuenberger , Florian Meier , Daniel Loss

When continuous parameters in a QFT are varied adiabatically, quantum states typically undergo mixing---a phenomenon characterized by the Berry phase. We initiate a systematic analysis of the Berry phase in QFT using standard quantum…

High Energy Physics - Theory · Physics 2017-07-26 Marco Baggio , Vasilis Niarchos , Kyriakos Papadodimas

The quantum interference effects induced by the Wess-Zumino term, or Berry phase are studied theoretically in resonant quantum coherence of magnetization vector between degenerate excited states in nanometer-scale single-domain ferromagnets…

Statistical Mechanics · Physics 2015-06-25 Jia-Lin Zhu , Rong Lu , Su-Pen Kou , Hui Hu , Bing-Lin Gu

We study aspects of Berry phase in gapped many-body quantum systems by means of effective field theory. Once the parameters are promoted to spacetime-dependent background fields, such adiabatic phases are described by Wess-Zumino-Witten…

Strongly Correlated Electrons · Physics 2021-01-04 Po-Shen Hsin , Anton Kapustin , Ryan Thorngren

We explore the geometric phase in N=(2,2) supersymmetric quantum mechanics. The Witten index ensures the existence of degenerate ground states, resulting in a non-Abelian Berry connection. We exhibit a non-renormalization theorem which…

High Energy Physics - Theory · Physics 2008-11-26 Chris Pedder , Julian Sonner , David Tong

The phase-ordering dynamics that result from domain coarsening are considered for itinerant quantum ferromagnets. The fluctuation effects that invalidate the Hertz theory of the quantum phase transition also affect the phase ordering. For a…

Statistical Mechanics · Physics 2013-05-29 D. Belitz , T. R. Kirkpatrick , Ronojoy Saha

We investigate the magnetic quantum phase-transitions in bulk correlated metals at the level of dynamical mean-field theory. To this end, we focus on the Hubbard model on a simple cubic lattice as a function of temperature and electronic…

Strongly Correlated Electrons · Physics 2024-09-09 S. Adler , D. R. Fus , M. O. Malcolms , A. Vock , K. Held , A. A. Katanin , T. Schäfer , A. Toschi

Motivated by both experimental and theoretical activities, we discuss the fate of Kondo screening and possible quantum phase transitions in antiferromagnetically ordered phases of Kondo lattices. While transitions with topological changes…

Strongly Correlated Electrons · Physics 2008-09-19 Matthias Vojta

In this report, we provide a theoretical framework for the magnetic behavior of the Griffiths phase, which, along with three-dimensional spin-1/2 Ising ferromagnetic systems, can be extended to antiferromagnetic as well as ferrimagnetic…

Materials Science · Physics 2026-05-04 Sumanta Mukherjee

We propose the creation of a two-dimensional topological semimetal in a semiconductor artificial lattice with triangular symmetry. An in-plane magnetic field drives a quantum phase transition between the topological insulating and…

Mesoscale and Nanoscale Physics · Physics 2017-08-09 Tommy Li , Oleg P. Sushkov

The Berry curvature is a geometrical property of an energy band which can act as a momentum space magnetic field in the effective Hamiltonian of a wide range of systems. We apply the effective Hamiltonian to a spin-1/2 particle in two…

Quantum Gases · Physics 2015-04-02 Hannah M. Price , Tomoki Ozawa , Nigel R. Cooper , Iacopo Carusotto

We have shown that the study of topological aspects of the underlying geometry in a ferromagnetic spin system gives rise to an intrinsic Berry phase. This real space Berry phase arises due to the spin rotations of conducting electrons which…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 B. Basu , P. Bandyopadhyay

Smooth composite bundles provide the adequate geometric description of classical mechanics with time-dependent parameters. We show that the Berry's phase phenomenon is described in terms of connections on composite Hilbert space bundles.

Quantum Physics · Physics 2015-06-26 G. Sardanashvily

The quantum phase transition between paramagnetic and antiferromagnetic phases of the Kondo lattice model with Ising anisotropy in the intersite exchange is studied within the framework of extended dynamical mean-field theory.…

Strongly Correlated Electrons · Physics 2007-12-03 Matthew T. Glossop , Kevin Ingersent

A quantum phase transition from paramagnetic to ferromagnetic phase is driven by a time-dependent external magnetic field. For any rate of the transition the evolution is non-adiabatic and finite density of defects is excited in the…

Disordered Systems and Neural Networks · Physics 2016-08-31 Jacek Dziarmaga

We present an in-depth analysis of the orbital magnetism by means of the so-called modern theory based on the Berry phase across distinct classes of materials-d transition metals, sp metals, and transition metal dichalcogenides-highlighting…

Mesoscale and Nanoscale Physics · Physics 2026-03-25 Hojun Lee , Insu Baek , Mirco Sastges , Yuriy Mokrousov , Hyun-Woo Lee , Dongwook Go

Equilibrium magnetization states in thin spherical shells of a magnetically soft ferromagnet are determined by the competition between two interactions: (i) The local exchange interaction favours the more homogeneous onion state with…

Mesoscale and Nanoscale Physics · Physics 2018-01-23 Mykola I. Sloika , Denis D. Sheka , Volodymyr P. Kravchuk , Oleksandr V. Pylypovskyi , Yuri Gaididei

The antiferromagnetic Heisenberg model on an anisotropic kagome lattice may be a good minimal model for real magnetic systems as well as a limit from which the isotropic case can be better understood. We therefore study the nearest-neighbor…

Strongly Correlated Electrons · Physics 2009-08-05 E. M. Stoudenmire , Leon Balents