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Physics arising from two-dimensional~(2D) Dirac cones has been a topic of great theoretical and experimental interest to studies of gapless topological phases and to simulations of relativistic systems. Such $2$D Dirac cones are often…

介观与纳米尺度物理 · 物理学 2017-10-04 Raditya Weda Bomantara , Wenlei Zhao , Longwen Zhou , Jiangbin Gong

This work reveals the intrinsic connection between Dirac monopole theory and Berry geometric phases by extending Dirac's theory to the parameter space. Using the simplest two-mode Hamiltonian model, we explicitly visualize Dirac strings…

量子物理 · 物理学 2025-08-21 Li-Chen Zhao

We investigate the geometric phase or Berry phase of adiabatic quantum evolution in an atom-molecule conversion system, and find that the Berry phase in such system consists of two parts: the usual Berry connection term and a novel term…

量子气体 · 物理学 2015-05-13 Li-Bin Fu , Jie Liu

The topological nodal-line semimetals (NLSMs) possess a loop of Dirac nodes in the k space with linear dispersion, different from the point nodes in Dirac/Weyl semimetals. While the quantum transport associated with the topologically…

材料科学 · 物理学 2021-07-13 Yusen Yang , Hui Xing , Guoxiong Tang , Chenqiang Hua , Chao Yao , Xiaoxian Yan , Yunhao Lu , Jin Hu , Zhiqiang Mao , Ying Liu

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…

材料科学 · 物理学 2009-11-11 V. K. Dugaev , P. Bruno , B. Canals , C. Lacroix

We derive the general formula giving the Berry phase for an arbitrary spin, having both magnetic-dipole and electric-quadrupole couplings with external time-dependent fields. We assume that the effective E and B fields remain orthogonal…

量子物理 · 物理学 2015-05-19 Marie-Anne Bouchiat , Claude Bouchiat

A new static and azimuthally symmetric magnetic monopolelike object, which looks like a Dirac monopole when seen from far away but smoothly changes to a dipole near the monopole position and vanishes at the origin, is discussed. This…

高能物理 - 理论 · 物理学 2020-03-18 Shinichi Deguchi , Kazuo Fujikawa

The Aharonov-Bohm (AB) effect for the singular string associated with the Dirac monopole carrying an arbitrary magnetic charge is studied. It is shown that the emerging difficulties in explanation of the AB effect may be removed by…

高能物理 - 理论 · 物理学 2012-11-15 Alexander I. Nesterov

We investigate the effect of the environment on a Berry phase measurement involving a spin-half. We model the spin+environment using a biased spin-boson Hamiltonian with a time-dependent magnetic field. We find that, contrary to naive…

介观与纳米尺度物理 · 物理学 2009-11-07 Robert S. Whitney , Yuval Gefen

The smooth topology change of Berry's phase from a Dirac monopole-like configuration to a dipole configuration, when one approaches the monopole position in the parameter space, is analyzed in an exactly solvable model. A novel aspect of…

高能物理 - 理论 · 物理学 2019-07-17 Shinichi Deguchi , Kazuo Fujikawa

We theoretically establish that non-Hermitian perturbations induce a topological transformation of point-like Dirac monopoles into extended monopole distributions, characterized by distinct charge configurations emergent from three distinct…

量子物理 · 物理学 2025-09-18 Haiyang Yu , Tao Jiang , Li-Chen Zhao

In this paper we define a non-dynamical phase for a spin-1/2 particle in a rotating magnetic field in the non-adiabatic non-cyclic case, and this phase can be considered as a generalized Berry phase. We show that this phase reduces to the…

量子物理 · 物理学 2012-12-11 Siamak S. Gousheh , Azadeh Mohammadi , Leila Shahkarami

We study a system of strongly interacting one-dimensional (1D) bosons on a ring pierced by a synthetic magnetic flux tube. By the Fermi-Bose mapping, this system is related to the system of spin-polarized non-interacting electrons confined…

量子气体 · 物理学 2020-08-24 Marija Todorić , Bruno Klajn , Dario Jukić , Hrvoje Buljan

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…

介观与纳米尺度物理 · 物理学 2007-05-23 S. A. van Langen , H. P. A. Knops , J. C. J. Paasschens , C. W. J. Beenakker

Berry's phase, which is associated with the slow cyclic motion with a finite period, looks like a Dirac monopole when seen from far away but smoothly changes to a dipole near the level crossing point in the parameter space in an exactly…

高能物理 - 理论 · 物理学 2021-05-12 Kazuo Fujikawa , Koichiro Umetsu

Berry phase is a very general concept. It is applied here to families of solutions of the Dirac equation with different values of spin. The value of the Berry phase in the spin space is given by the same expression as was found before in…

量子物理 · 物理学 2020-12-02 Iwo Bialynicki-Birula , Zofia Bialynicka-Birula

Self-intersecting energy band structures in momentum space can be induced by nonlinearity at the mean-field level, with the so-called nonlinear Dirac cones as one intriguing consequence. Using the Qi-Wu-Zhang model plus power law…

量子物理 · 物理学 2022-12-29 Xi Liu , Qing-hai Wang , Jiangbin Gong

We present a quantized non-Abelian Berry phase for time reversal invariant systems such as quantum spin Hall effect. Ordinary Berry phase is defined by an integral of Berry's gauge potential along a loop (an integral of the Chern-Simons…

介观与纳米尺度物理 · 物理学 2010-02-03 T. Fukui , T. Fujiwara

Topological phases and materials have attracted much attention in recent years. Though many progress has been made, the effect of nonlinearity on such system remains untouched. In this paper, by considering the mean-field approximation in a…

量子物理 · 物理学 2020-07-08 Fude Li , X. X. Yi

The physical reality and observability of 2n\pi Berry phases, as opposed to the usually considered modulo 2\pi topological phases is demonstrated with the help of computer simulation of a model adiabatic evolution whose parameters are…

量子物理 · 物理学 2009-11-07 Rajendra Bhandari
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