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The motion of a quantum particle constrained to a two-dimensional non-compact Riemannian manifold with non-trivial metric can be described by a flat-space Schroedinger-type equation at the cost of introducing local mass and metric and…

介观与纳米尺度物理 · 物理学 2025-12-19 Benjamin Schwager , Theresa Appel , Jamal Berakdar

Spin-motive force, i.e., the electric current induced by magnetization dynamics, is theoretically studied beyond the Thouless-pump paradigm. In contrast to the linear-response regime, where the induced current is purely AC, we show that…

介观与纳米尺度物理 · 物理学 2026-03-13 Tomonari Meguro , Hiroaki Ishizuka , Kentaro Nomura

By virtue of the Noether theorems, the vast gauge redundancy of general relativity provides us with a rich algebra of boundary charges that generate physical symmetries. These charges are located at codimension-2 entangling surfaces called…

高能物理 - 理论 · 物理学 2024-03-26 Laurent Freidel , Marc Geiller , Wolfgang Wieland

In this paper we construct a non-commutative geometry over a configuration space of gauge connections and show that it gives rise to a candidate for an interacting, non-perturbative quantum gauge theory coupled to a fermionic field on a…

高能物理 - 理论 · 物理学 2022-01-25 Johannes Aastrup , Jesper M. Grimstrup

We analyze the effects of a nonlinear cubic perturbation on the delta-Kicked Rotor. We consider two different models, in which the nonlinear term acts either in the position or in the momentum representation. We numerically investigate the…

混沌动力学 · 物理学 2007-05-23 Laura Rebuzzini , Sandro Wimberger , Roberto Artuso

When an electron or hole is in a conduction band of a crystal, it can be very different from 2, depending upon the crystalline anisotropy and the direction of the applied magnetic induction ${\bf B}$. In fact, it can even be 0! To…

介观与纳米尺度物理 · 物理学 2020-12-09 Aiying Zhao , Qiang Gu , Timothy J. Haugan , Richard A. Klemm

Spin networks in loop quantum gravity provide a kinematical picture of quantum geometry but lack a natural mechanism for dynamical Dirac-type evolution, while the Wheeler--DeWitt equation typically enters only as an imposed constraint. We…

广义相对论与量子宇宙学 · 物理学 2025-11-04 Partha Nandi , Partha Ghose , Francesco Petruccione

We analyze a quantum-classical hybrid system of steadily precessing slow classical localized magnetic moments, forming a head-to-head domain wall, embedded into an open quantum system of fast nonequilibrium electrons. The electrons reside…

介观与纳米尺度物理 · 物理学 2020-10-29 Utkarsh Bajpai , Branislav K. Nikolic

We explore how the quantum geometric properties of the Bloch wave function, characterized by the Hilbert-Schmidt quantum distance, impact magnetic phases in solid-state systems. To this end, we investigate the spin susceptibility within the…

强关联电子 · 物理学 2025-09-18 Chang-geun Oh , Taisei Kitamura , Akito Daido , Jun-Won Rhim , Youichi Yanase

The study of quantum geometry effects in materials has been one of the most important research directions in recent decades. The quantum geometry of a material is characterized by the quantum geometry tensor of the Bloch states. The…

We study the influence of nonuniform magnetic fields on the magneto conductance of mesoscopic microstructures. We show that the coupling of the electron spin to the inhomogenous field gives rise to effects of the Berry phase on ballistic…

介观与纳米尺度物理 · 物理学 2022-10-12 Diego Frustaglia , Klaus Richter

The Dirac equation is extended for a relativistic electron in an orthorhombically-anisotropic conduction band. Its covariance is established with general proper and improper Lorentz transformations. In the non-relativistic limit, the…

强关联电子 · 物理学 2019-05-09 Aiying Zhao , Jingchuan Zhang , Qiang Gu , Richard A. Klemm

Emergent electrodynamics arising from spatially and temporally varying magnetic textures provides a framework for spin control in quantum materials. While this principle is established for ferromagnetic and antiferromagnetic textures, its…

介观与纳米尺度物理 · 物理学 2026-02-25 Constantin Schrade , Mathias S. Scheurer

Nonlinear responses in transport phenomena have attracted significant attention because they can arise even when linear responses are forbidden by symmetry, with the quantum geometry of Bloch wave functions playing an essential role. While…

强关联电子 · 物理学 2026-03-12 Aoi Kuwabara , Joji Nasu

We derive quantum geometric bounds in spinful systems with spin topology characterized by a single $\mathbb{Z}$ index protected by a spin gap. Our bounds provide geometric conditions on the spin topology, distinct from the known quantum…

介观与纳米尺度物理 · 物理学 2025-10-13 Wojciech J. Jankowski , Robert-Jan Slager , Gunnar F. Lange

Based on the mathematics of noncommutative geometry, we model a 'classical' Dirac fermion propagating in a curved spacetime. We demonstrate that the inherent causal structure of the model encodes the possibility of Zitterbewegung - the…

数学物理 · 物理学 2017-03-29 Michał Eckstein , Nicolas Franco , Tomasz Miller

The geometric properties of quantum states are crucial for understanding many physical phenomena in quantum mechanics, condensed matter physics, and optics. The central object describing these properties is the quantum geometric tensor,…

数学物理 · 物理学 2026-01-21 Marius A. Oancea , Thomas B. Mieling , Giandomenico Palumbo

We investigate the optical and quantum mechanical properties of a charged spinless particle confined in a two-dimensional quantum ring under the simultaneous influence of a spiral dislocation and an external magnetic field. The dislocation…

介观与纳米尺度物理 · 物理学 2025-07-01 Hassan Hassanabadi , Kangxian Guo , Liangliang Lu , Edilberto O. Silva

Persistent spin textures (PST) are special spin configurations in spin-orbit-coupled systems in which the spin polarization acquires a symmetry-enforced momentum-independent orientation, leading to exceptionally long spin lifetimes and…

介观与纳米尺度物理 · 物理学 2026-05-22 Neelanjan Chakraborti , Akash Dey , Snehasish Nandy , Sudeep Kumar Ghosh , Kush Saha

We show the appearance of geometric phase in a Dirac particle traversing in non-relativistic limit in a time-independent gravitational field. This turns out to be similar to the one originally described as a geometric phase in magnetic…

广义相对论与量子宇宙学 · 物理学 2021-10-27 Tanuman Ghosh , Banibrata Mukhopadhyay