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We describe two dimensional models with a metallic Fermi surface which display quantum phase transitions controlled by strongly interacting critical field theories below their upper critical dimension. The primary examples involve…

Strongly Correlated Electrons · Physics 2007-05-23 Subir Sachdev , Takao Morinari

In a recent experiment [E. Vogt et al., Phys. Rev. Lett. 108, 070404 (2012)], quadrupole and breathing modes of a two-dimensional Fermi gas were studied. We model these collective modes by solving the Boltzmann equation via the method of…

Quantum Gases · Physics 2013-11-20 Silvia Chiacchiera , Dany Davesne , Tilman Enss , Michael Urban

Motivated by the work [Phys. Rev. Lett. 89, 220404 (2002)] for detecting the vacuum-induced Berry phases with two-mode Jaynes-Cummings models (JCMs), we show here that, for a parameter-dependent single-mode JCM, certain atom-field states…

Quantum Physics · Physics 2015-05-19 Yu Liu , L. F. Wei , W. Z. Jia , J. Q. Liang

We derive an analogue of the Berry phase associated with inflationary cosmological perturbations of quantum mechanical origin by obtaining the corresponding wavefunction. We have further shown that cosmological Berry phase can be completely…

Cosmology and Nongalactic Astrophysics · Physics 2013-05-16 Barun Kumar Pal , Supratik Pal , B. Basu

We consider the flow of polarization current J(t)=dP/dt produced by a homogeneous electric field E(t) or by rapidly varying some other parameter in the Hamiltonian of a solid. For an initially insulating system and a collisionless time…

Materials Science · Physics 2009-11-10 Ivo Souza , Jorge Iniguez , David Vanderbilt

Topological protection of edge state in quantum spin Hall systems relies only on time-reversal symmetry. Hence, S z conservation on the edge can be relaxed which can have an interferometric manifestation in terms of spin Berry phase.…

Mesoscale and Nanoscale Physics · Physics 2020-07-22 Vivekananda Adak , Krishanu Roychowdhury , Sourin Das

We study the fractionally quantized $Z_N$ Berry phase, $\gamma_N=0, {2\pi \over N}, {4\pi \over N},\ldots, {2(N-1)\pi \over N}$, to characterize local $N$-mer spin structures at magnetization plateaux in spin-1/2 Heisenberg multimer…

Strongly Correlated Electrons · Physics 2018-12-05 Isao Maruyama , Shin Miyahara

By means of finite size exact diagonalization we theoretically study the electronic many-body effects on the nearly flat-band structure with time-reversal symmetry in a checkerboard lattice model and identify the topological nature of two…

Strongly Correlated Electrons · Physics 2014-08-12 Wei Li , D. N. Sheng , C. S. Ting , Yan Chen

We study the energy spectrum of magnons in a ferromagnet with topologically nontrivial magnetization profile. In the case of inhomogeneous magnetization corresponding to a metastable state of ferromagnet, the spin-wave equation of motion…

Materials Science · Physics 2009-11-11 V. K. Dugaev , P. Bruno , B. Canals , C. Lacroix

We propose the semiclassical quantization for complicated electron systems governed by a many-band Hamiltonian. An explicit analytical expression of the corresponding Berry phase is derived. This impact allows us to evaluate the Landau…

Mesoscale and Nanoscale Physics · Physics 2012-03-02 A. Yu. Ozerin , L. A. Falkovsky

We consider a lattice model of two complex scalar matter fields $z_{a}, a=1,2$ under a CP1 constraint $\abs{z_1}^2+\abs{z_2}^2=1$, minimally coupled to a compact gauge field, with an additional Berry phase term. This model has been the…

Statistical Mechanics · Physics 2013-09-12 Troels Arnfred Bojesen , Asle Sudbø

The ground state properties and phase diagram of the bilayer square-lattice Heisenberg model are studied in a broad parameter space of intralayer exchange couplings, assuming an antiferromagnetic coupling between constituent layers. In the…

Strongly Correlated Electrons · Physics 2009-10-30 Yasuhiro Matsushita , Martin P. Gelfand , Chikara Ishii

Applying adiabatic, cyclic two parameter modulations we investigate quantum heat transfer across an anharmonic molecular junction contacted with two heat baths. We demonstrate that the pumped heat typically exhibits a Berry phase effect in…

Mesoscale and Nanoscale Physics · Physics 2010-05-03 Jie Ren , Peter Hänggi , Baowen Li

We report on experimental evidence of the Berry phase accumulated by the charge carrier wave function in single-domain nanowires made from a (Ga,Mn)(As,P) diluted ferromagnetic semiconductor layer. Its signature on the mesoscopic transport…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 M. Granada , D. Lucot , R. Giraud , A. Lemaître , C. Ulysse , X. Waintal , G. Faini

We derive the charge density up to second order in spatial gradient in inhomogeneous crystals using the semiclassical coarse graining procedure based on the wave packet method. It can be recast as divergence of polarization, whose…

Mesoscale and Nanoscale Physics · Physics 2021-10-15 Yiqiang Zhao , Yang Gao , Di Xiao

The semiclassical quantization of cyclotron orbits for two-dimensional Bloch electrons in a coupled two band model with a particle-hole symmetric spectrum is considered. As concrete examples, we study graphene (both mono and bilayer) and…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 J. N. Fuchs , F. Piechon , M. O. Goerbig , G. Montambaux

The exploration of the Berry phase in classical mechanics has opened new frontiers in understanding the dynamics of physical systems, analogous to quantum mechanics. Here, we show controlled accumulation of the Berry phase in a two-level…

Quantum Physics · Physics 2025-04-04 Kazi T. Mahmood , M. Arif Hasan

We discuss the thermodynamic and finite size scaling properties of the geometric phase in the adiabatic Dicke model, describing the super-radiant phase transition for an $N$ qubit register coupled to a slow oscillator mode. We show that, in…

Quantum Physics · Physics 2009-11-13 Francesco Plastina , Giuseppe Liberti , Angelo Carollo

We show how a driven-dissipative cavity coupled to a collective ensemble of atoms can dynamically generate metrologically useful spin-squeezed states. In contrast to other dissipative approaches, we do not rely on complex engineered…

The Berry phase for a variety of systems comprising of two angular momenta is discussed. These include the electron and proton in the ground state of the hydrogen atom (taking into account the hyperfine interaction), the positronium atom,…

Quantum Physics · Physics 2011-04-29 K. J. B. Ghosh , D. De Munshi , B. Dutta-Roy