Gauge-Field-Mediated Symmetry Breaking of Matters Under Electromagnetic Fields and Its Impact on Spin Dynamics

Fuente: arXiv
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Autores principales: Jeong, Uiseok, Sisakht, Esmaeil Taghizadeh, Rubio, Angel, Ullrich, Carsten A., Kim, Kyoung-Whan, Park, Noejung
Formato: Preprint
Publicado: 2026
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author Jeong, Uiseok
Sisakht, Esmaeil Taghizadeh
Rubio, Angel
Ullrich, Carsten A.
Kim, Kyoung-Whan
Park, Noejung
author_facet Jeong, Uiseok
Sisakht, Esmaeil Taghizadeh
Rubio, Angel
Ullrich, Carsten A.
Kim, Kyoung-Whan
Park, Noejung
contents When a condensed-matter system is subjected to external electromagnetic fields, the gauge-invariant formulation of physical operators must explicitly incorporate the gauge-field contribution. However, in the context of spin-orbit coupling (SOC), this gauge-field term is often regarded as negligible or merely additive compared to the canonical SOC, which is typically localized near atomic cores. Here, we demonstrate that the symmetry breaking and consequent spin dynamics are governed by the gauge-field term, without which the spins remain symmetry-constrained. We perform real-time time-dependent density functional theory calculations to investigate spin-orbit dynamics, focusing on representative cases with mirror, glide, and screw-rotational symmetry. We demonstrate that when the gauge-field term in the time-dependent Hamiltonian perturbs the symmetry of the canonical term, a dynamical spin state gradually develops during the time evolution, beyond the symmetry-frozen states. We suggest that, for nonequilibrium spin-orbit dynamics, the gauge-invariant formulation of SOC is not only formally required but also quantitatively essential, even for a weak external field.
format Preprint
id arxiv_https___arxiv_org_abs_2605_03539
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Gauge-Field-Mediated Symmetry Breaking of Matters Under Electromagnetic Fields and Its Impact on Spin Dynamics
Jeong, Uiseok
Sisakht, Esmaeil Taghizadeh
Rubio, Angel
Ullrich, Carsten A.
Kim, Kyoung-Whan
Park, Noejung
Materials Science
Computational Physics
When a condensed-matter system is subjected to external electromagnetic fields, the gauge-invariant formulation of physical operators must explicitly incorporate the gauge-field contribution. However, in the context of spin-orbit coupling (SOC), this gauge-field term is often regarded as negligible or merely additive compared to the canonical SOC, which is typically localized near atomic cores. Here, we demonstrate that the symmetry breaking and consequent spin dynamics are governed by the gauge-field term, without which the spins remain symmetry-constrained. We perform real-time time-dependent density functional theory calculations to investigate spin-orbit dynamics, focusing on representative cases with mirror, glide, and screw-rotational symmetry. We demonstrate that when the gauge-field term in the time-dependent Hamiltonian perturbs the symmetry of the canonical term, a dynamical spin state gradually develops during the time evolution, beyond the symmetry-frozen states. We suggest that, for nonequilibrium spin-orbit dynamics, the gauge-invariant formulation of SOC is not only formally required but also quantitatively essential, even for a weak external field.
title Gauge-Field-Mediated Symmetry Breaking of Matters Under Electromagnetic Fields and Its Impact on Spin Dynamics
topic Materials Science
Computational Physics
url https://arxiv.org/abs/2605.03539