Fractons on the edge

Fuente: arXiv

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Detalles Bibliográficos
Autores principales:	Parasar, Bhandaru Phani, Gefen, Yuval, Shenoy, Vijay B.
Formato:	Preprint
Publicado:	2024
Materias:	Mesoscale and Nanoscale Physics Strongly Correlated Electrons
Acceso en línea:	Acceder al recurso
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author	Parasar, Bhandaru Phani Gefen, Yuval Shenoy, Vijay B.
author_facet	Parasar, Bhandaru Phani Gefen, Yuval Shenoy, Vijay B.
contents	We develop a theory of edge excitations of fractonic systems in two dimensions, and elucidate their connections to bulk transport properties and quantum statistics of bulk excitations. The system we consider has immobile point charges, dipoles constrained to move only along lines perpendicular to their moment, and freely mobile quadrupoles and higher multipoles, realizing a bulk fractonic analog of fractional quantum Hall phases. We demonstrate that a quantized braiding phase between two bulk excitations is obtained only in two cases: when a point quadrupole braids around an immobile point charge, or when two non-orthogonal point dipoles braid with one another. The presence of a boundary edge in the system entails $\textit{two}$ types of gapless edge excitation modes, one that is fractonic with immobile charges and longitudinal dipoles, and a second non-fractonic mode consisting of transverse dipoles. We derive a novel current algebra of the fractonic edge modes. Further, investigating the effect of local edge-to-edge tunneling on these modes, we find that such a process is a relevant perturbation suggesting the possibility of edge deformation.
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institution	arXiv
publishDate	2024
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spellingShingle	Fractons on the edge Parasar, Bhandaru Phani Gefen, Yuval Shenoy, Vijay B. Mesoscale and Nanoscale Physics Strongly Correlated Electrons We develop a theory of edge excitations of fractonic systems in two dimensions, and elucidate their connections to bulk transport properties and quantum statistics of bulk excitations. The system we consider has immobile point charges, dipoles constrained to move only along lines perpendicular to their moment, and freely mobile quadrupoles and higher multipoles, realizing a bulk fractonic analog of fractional quantum Hall phases. We demonstrate that a quantized braiding phase between two bulk excitations is obtained only in two cases: when a point quadrupole braids around an immobile point charge, or when two non-orthogonal point dipoles braid with one another. The presence of a boundary edge in the system entails $\textit{two}$ types of gapless edge excitation modes, one that is fractonic with immobile charges and longitudinal dipoles, and a second non-fractonic mode consisting of transverse dipoles. We derive a novel current algebra of the fractonic edge modes. Further, investigating the effect of local edge-to-edge tunneling on these modes, we find that such a process is a relevant perturbation suggesting the possibility of edge deformation.
title	Fractons on the edge
topic	Mesoscale and Nanoscale Physics Strongly Correlated Electrons
url	https://arxiv.org/abs/2411.19620

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