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We study the quantum propagator in the semiclassical limit with hard-wall potentials. We show that, upon each reflection by the hard wall, a Berry phase $\pi$ is accumulated and leads to interferences between different classical…

凝聚态物理 · 物理学 2015-06-24 Hsiu-Hau Lin , Tzay-Ming Hong

We demonstrate that there exist frequency domain Berry curvature in the wave function of photons in dispersive optical systems. This property arises from the frequency dispersion of its dielectric function, which makes Maxwell equations a…

介观与纳米尺度物理 · 物理学 2026-04-21 Shiyue Deng , Yang Gao , Qian Niu

The nature of bosonic excitations in disordered materials has remained elusive due to the difficulties in defining key concepts such as quasi-particles in the presence of disorder. We report on the experimental observation of…

无序系统与神经网络 · 物理学 2021-01-05 Luigi Casella , Matteo Baggioli , Tatsuya Mori , Alessio Zaccone

Berry phase polarization calculations have been investigated for several ferroelectric materials from the point of view of practical calculations. It was shown that interpretation of the results is particular to each case due to the…

材料科学 · 物理学 2017-04-26 Lucian D. Filip , Neculai Plugaru

The many-body Berry phase formula for the macroscopic polarization is approximated by a sum of natural orbital geometric phases with fractional occupation numbers accounting for the dominant correlation effects. This reduced formula…

强关联电子 · 物理学 2018-12-14 Ryan Requist , E. K. U. Gross

Systems such as Wigner crystals and incommensurate charge density waves that spontaneously break a continuous translation symmetry have unusual transport properties arising from their ability to slide coherently in space. Recent…

介观与纳米尺度物理 · 物理学 2025-09-16 Yongxin Zeng , Andrew J. Millis

We propose a modified Boltzmann nonlinear electric-transport framework which differs from the nonlinear generalization of the linear Boltzmann formalism by a contribution that has no counterpart in linear response. This contribution follows…

介观与纳米尺度物理 · 物理学 2019-11-06 Cong Xiao , Z. Z. Du , Qian Niu

We study Berry phase effects on conductance properties of diffusive mesoscopic conductors, which are caused by an electron spin moving through an orientationally inhomogeneous magnetic field. Extending previous work, we start with an exact,…

介观与纳米尺度物理 · 物理学 2009-10-31 Hans-Andreas Engel , Daniel Loss

In this work, we develop a hybrid-order Poincar\'{e} sphere to describe the evolution of polarization states of wave propagation in inhomogeneous anisotropic media. We extend the orbital Poincar\'{e} sphere and high-order Poincar\'{e}…

The anomalous Hall effect describes the generation of a transverse voltage by a longitudinal current even in the absence of an external magnetic field. While typically observed in ferromagnets, it has also been predicted to arise in…

A notion of the Berry phase is a powerful means to unravel the non-trivial role of topology in various novel phenomena observed in chiral magnetic materials and structures. A celebrated example is the intrinsic anomalous Hall effect (AHE)…

We study the ac Hall response induced by passage of dc transport current in two- and three-dimensional metals with gyrotropic point groups -- the gyrotropic Hall effect -- and consider the phenomenon of current-induced optical activity in…

介观与纳米尺度物理 · 物理学 2019-04-09 E. J. König , M. Dzero , A. Levchenko , D. A. Pesin

In a series of recent papers anomalous Hall and Nernst effects have been theoretically discussed in the non-linear regime and have seen some early success in experiments. In this paper, by utilizing the role of Berry curvature dipole, we…

介观与纳米尺度物理 · 物理学 2020-10-26 Chuanchang Zeng , Snehasish Nandy , Sumanta Tewari

Quantum mechanical phases arising from a periodically varying Hamiltonian are considered. These phases are derived from the eigenvalues of a stationary, ``dressed'' Hamiltonian that is able to treat internal atomic or molecular structure in…

原子与分子团簇 · 物理学 2015-05-14 Edmund R. Meyer , Aaron Leanhardt , Eric Cornell , John L. Bohn

In this paper we present a modification of the geometrical optics method, which allows one to properly separate the complex amplitude and the phase of the wave solution. Appling this modification to a smoothly inhomogeneous isotropic…

光学 · 物理学 2007-05-23 K. Yu. Bliokh , Yu. P. Bliokh

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…

量子物理 · 物理学 2012-03-21 Sergei K. Suslov

We develop a theory for the trajectory of an x ray in the presence of a crystal deformation. A set of equations of motion for an x-ray wave packet including the dynamical diffraction is derived, taking into account the Berry phase as a…

材料科学 · 物理学 2007-05-23 Kei Sawada , Shuichi Murakami , Naoto Nagaosa

It is well-known that a non-vanishing Hall conductivity requires time-reversal symmetry breaking. However, in this work, we demonstrate that a Hall-like transverse current can occur in second-order response to an external electric field in…

介观与纳米尺度物理 · 物理学 2015-12-22 Inti Sodemann , Liang Fu

Magnetic transition metal chalcogenides form an emerging platform for exploring spin-orbit driven Berry phase phenomena owing to the nontrivial interplay between topology and magnetism. Here we show that the anomalous Hall effect in…

We have derived a new set of semiclassical equations for electrons in magnetic Bloch bands. The velocity and energy of magnetic Bloch electrons are found to be modified by the Berry phase and magnetization. This semiclassical approach is…

凝聚态物理 · 物理学 2009-10-28 M. C. Chang , Q. Niu