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Quantum geometry governs a wide range of transport and optical phenomena in quantum materials. Recent works have explored analogue electromagnetism and gravity in terms of the quantum geometric tensor, whose real and imaginary parts…

Mesoscale and Nanoscale Physics · Physics 2026-03-24 Luca Maranzana , Koki Shinada , Ying-Ming Xie , Sergey Artyukhin , Naoto Nagaosa

In this work we provide a possible geometrical interpretation of the spin of elementary particles. In particular, it is investigated how the wave equations of matter are altered by the addition of an antisymmetric contribution to the metric…

General Relativity and Quantum Cosmology · Physics 2014-06-23 Ginés R. Pérez Teruel

The theoretical identification of crystalline topological materials has enjoyed sustained success in simplified materials models, often by singling out discrete symmetry operations protecting the topological phase. When band structure…

Materials Science · Physics 2026-05-15 Emanuele Maggio

An effective surface equation, that encapsulates the detail of a microstructure, is developed to model microstructured surfaces. The equations deduced accurately reproduce a key feature of surface wave phenomena, created by periodic…

In this paper we give a general expression for the energy shift of massless particles travelling through the gravitational field of an arbitrary matter distribution as calculated in the weak field limit in an asymptotically flat space-time.…

Astrophysics · Physics 2009-12-30 Albert Stebbins , Shoba Veeraraghavan

Quantum geometry characterizes the variation of wavefunctions in momentum space through their overlaps and relative phases, providing a general framework for understanding many transport and optical properties. It is generally formulated in…

Strongly Correlated Electrons · Physics 2026-05-20 Alejandro S. Miñarro , Gervasi Herranz

The paper develops a modified geometrical optics (GO) of smoothly inhomogeneous isotropic medium, which takes into account two topological phenomena: Berry phase and the optical Magnus effect. By using the analogy between a quasi-classical…

Optics · Physics 2009-11-10 K. Yu. Bliokh , Yu. P. Bliokh

Models where symmetries are predominantly broken (and masses are then generated) through radiative corrections typically produce strong first-order phase transitions with a period of supercooling, when the temperature dropped by several…

High Energy Physics - Phenomenology · Physics 2023-04-24 Alberto Salvio

Berry phase for a spin--1/2 particle moving in a flat spacetime with torsion is investigated in the context of the Einstein-Cartan-Dirac model. It is shown that if the torsion is due to a dense polarized background, then there is a Berry…

General Relativity and Quantum Cosmology · Physics 2009-01-07 M. Alimohammadi , A. Shariati

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…

Optics · Physics 2007-05-23 K. Yu. Bliokh , Yu. P. Bliokh

We consider the fermion mass renormalization due to the vector boson exchange within mesodynamics with nucleon and $\rho$ meson fields as well as quantum electrodynamics with electron and photon fields. The method of unitary clothing…

High Energy Physics - Phenomenology · Physics 2026-04-27 Yan Kostylenko , Aleksandr Shebeko

New boundary conditions for asymptotically flat spacetimes are given at spatial infinity. These boundary conditions are invariant under the BMS group, which acts non trivially. The boundary conditions fulfill all standard consistency…

General Relativity and Quantum Cosmology · Physics 2018-04-18 Marc Henneaux , Cédric Troessaert

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…

Strongly Correlated Electrons · Physics 2018-12-14 Ryan Requist , E. K. U. Gross

Kinetic theory of Dirac fermions is studied within the matrix valued differential forms method. It is based on the symplectic form derived by employing the semiclassical wave packet build of the positive energy solutions of the Dirac…

High Energy Physics - Theory · Physics 2015-08-05 O. F. Dayi , E. Kilincarslan

Berry's geometric phase naturally appears when a quantum system is driven by an external field whose parameters are slowly and cyclically changed. A variation in the coupling between the system and the external field can also give rise to a…

We have observed the Berry phase effect associated with interband coherence in topological surface states (TSSs) using two-color high-harmonic spectroscopy. This Berry phase accumulates along the evolution path of strong field-driven…

Optics · Physics 2024-04-10 Ya Bai , Yang Jiang , Wenyang Zheng , Jiayin Chen , Shuo Wang , Candong Liu , Ruxin Li , Peng Liu

Recent discoveries have demonstrated that matter can be distinguished on the basis of topological considerations, giving rise to the concept of topological phase. Introduced originally in condensed matter physics, the physics of topological…

Plasma Physics · Physics 2021-07-01 Jeffrey B. Parker

We show that the BF theory in any space-time dimension, when quantized in a certain linear covariant gauge, possesses a vector supersymmetry. The generator of the latter together with those of the BRS transformations and of the translations…

High Energy Physics - Theory · Physics 2009-10-22 C. Lucchesi , O. Piguet , S. P. Sorella

We determine the nonlinear transformations between coordinate systems which are mutually in a constant symmetrical accelerated motion. The maximal acceleration limit follows from the kinematical origin and it is an analogue of the maximal…

General Physics · Physics 2015-04-17 Miroslav Pardy

The physics underlying the magnetization process of quantum antiferromagnets is revisited from the viewpoint of geometric phases. A continuum variant of the Lieb-Schultz-Mattis-type approach to the problem is put forth, where the…

Statistical Mechanics · Physics 2009-05-14 Akihiro Tanaka , Keisuke Totsuka , Xiao Hu