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The dynamical effects of topological charge in two-dimensional QED can be expressed in terms of a topological order parameter via a Berry phase construction. The Berry phase describes the electric charge polarization of the vacuum in a…

High Energy Physics - Theory · Physics 2015-03-18 H. B. Thacker , Gabriel Wong

We investigate the effect of the Berry phase on quadrupoles that occur for example in the low-energy description of spin models. Specifically we study here the one-dimensional bilinear-biquadratic spin-one model. An open question for many…

Strongly Correlated Electrons · Physics 2014-07-15 Shijie Hu , Ari M. Turner , Karlo Penc , Frank Pollmann

We consider the generalized chiral $QED_2$ on $S^1$ with a $U(1)$ gauge field coupled with different charges to both chiral components of a fermionic field. Using the adiabatic approximation we calculate the Berry phase and the…

High Energy Physics - Theory · Physics 2016-09-06 Fuad Saradzhev

We calculate the average persistent current in a mesoscopic metal ring threaded by a magnetic flux in the diffusive regime. It is shown that the classical electromagnetic energy leads to a {\it{universal}} average current of the order of $…

Condensed Matter · Physics 2009-01-23 Peter Kopietz

A tight-binding model of electron dynamics in mesoscopic normal rings is studied using boundary conformal field theory. The partition function is calculated in the low energy limit and the persistent current generated as a function of an…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 S. Jaimungal , M. H. S. Amin , G. Rose

The Berry phase and the group-velocity-based traversal time have been calculated for an asymmetric non-contacted or contacted graphene structure, and significant differences have been observed compared to semiconductor heterostructures.…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Daniela Dragoman

Persistent current and low-field magnetic susceptibility in single-channel normal metal rings threaded by a magnetic flux $\phi$ are investigated within the tight-binding framework considering long-range hopping of electrons in the {\em…

Mesoscale and Nanoscale Physics · Physics 2009-09-15 Santanu K. Maiti

We present a measurement scheme for observing the Berry phase in a flux assisted Cooper pair pump - the Cooper pair sluice. In contrast to the recent experiments, in which the sluice was employed to generate accurate current through a…

The generic Berry phase scenario in which a two-level system is coupled to a second system whose dynamical coordinate is slowly-varying is generalized to allow for stochastic evolution of the slow system. The stochastic behavior is produced…

Quantum Physics · Physics 2009-10-31 Frank Gaitan

Gate-based quantum computers can in principle simulate the adiabatic dynamics of a large class of Hamiltonians. Here we consider the cyclic adiabatic evolution of a parameter in the Hamiltonian. We propose a quantum algorithm to estimate…

Quantum Physics · Physics 2020-02-19 Bruno Murta , G. Catarina , J. Fernandez-Rossier

We propose an idea to investigate persistent current in individual arms of a multi-arm mesoscopic ring. Following a brief description of persistent current in a traditional Aharonov-Bohm (AB) ring, we examine the behavior of persistent…

Mesoscale and Nanoscale Physics · Physics 2011-02-02 Santanu K. Maiti , Srilekha Saha , S. N. Karmakar

An electron spin moving adiabatically in a strong, spatially non-uniform magnetic field accumulates a geometric phase or Berry phase, which might be observable as a conductance oscillation in a mesoscopic ring. Two contradicting theories…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 S. A. van Langen , H. P. A. Knops , J. C. J. Paasschens , C. W. J. Beenakker

We investigate the decoherence effect of a bosonic bath on the Berry phase of a spin-1/2 in a time-dependent magnetic field, without making the Markovian approximation. A two-cycle process resulting in a pure Berry phase is considered. The…

Quantum Physics · Physics 2015-06-16 Xin Li , Yu Shi

It is known that intrinsic currents in magnetic metals often appear in the direction perpendicular to the external field for linear and nonlinear responses. Distinct from three kinds of known nonlinear currents, namely, the Drude…

Mesoscale and Nanoscale Physics · Physics 2023-09-21 YuanDong Wang , ZhiFan Zhang , Zhen-Gang Zhu , Gang Su

We evaluate the Berry phase for a "missing" family of the square integrable wavefunctions for the linear harmonic oscillator, which cannot be derived by the separation of variables (in a natural way). Instead, it is obtained by the action…

Quantum Physics · Physics 2012-03-21 Sergei K. Suslov

The anomalous Hall conductivity of "dirty" ferromagnetic metals is dominated by a Berry-phase contribution which is usually interpreted as an intrinsic property of the Bloch electrons in the pristine crystal. In this work we evaluate the…

Materials Science · Physics 2015-12-25 Raffaello Bianco , Raffaele Resta , Ivo Souza

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

The effect of fluctuations in the classical control parameters on the Berry phase of a spin 1/2 interacting with a adiabatically cyclically varying magnetic field is analyzed. It is explicitly shown that in the adiabatic limit dephasing is…

Quantum Physics · Physics 2009-11-10 Gabriele De Chiara , G. Massimo Palma

A time-dependent electric field gives rise to a stationary non-equilibrium current I^{(2)} around a mesoscopic metal ring threaded by a magnetic flux. We show that this current, which is proportional to the intensity of the field, is…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Peter Kopietz , Axel Voelker

Symmetry protected quantization of the Berry phase is discussed in relation to edge states. Assuming an existence of some adiabatic process which protects quantization of the Berry phase, non trivial Berry phase $\gamma=\pm 2\pi\rho$…

Strongly Correlated Electrons · Physics 2015-01-30 Toshikaze Kariyado , Yasuhiro Hatsugai
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