The electron–phonon interaction from fundamental local gauge symmetries in solids
From MaRDI portal
Publication:5402217
DOI10.1088/1751-8113/47/3/035004zbMATH Open1292.74004arXiv1307.3571OpenAlexW3121631694MaRDI QIDQ5402217
Publication date: 6 March 2014
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Abstract: The elastic properties of solids are described in close analogy with General Relativity, by locally gauging the translational group of space-time. Electron interactions with the crystal lattice are thus generated by enforcing full gauge invariance, with the introduction of a gauge field. Elementary excitations are associated with the local gauge, contrasting to the usual interpretation as being Goldstone bosons emerging from global symmetry breaking. In the linear limit of the theory, the gauge field displays elastic waves, that we identify with acoustic phonons, when the field is quantized. Coupling with the electronic part of the system yields the standard electron-phonon interaction. If spin-orbit effects are included, unusual couplings emerge between the strain field and the electronic spin current, leading to novel physics that may be relevant for spintronic applications.
Full work available at URL: https://arxiv.org/abs/1307.3571
nonlinear elasticitygauge symmetrygeneral relativityelectron-phonon interactionspin currentsnon-Abelian gauge fields
Related Items (3)
Similarity renormalization of the electron‐phonon coupling ⋮ Examining the physical foundation of continuum theories from the viewpoint of phonon dispersion relation ⋮ Electron-phonon interactions in the Fermi-Dirac spintronics
This page was built for publication: The electron–phonon interaction from fundamental local gauge symmetries in solids
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q5402217)
