Energy-momentum tensor of a ferromagnet

Dasgupta, Sayak; Tchernyshyov, Oleg

doi:10.1103/physrevb.98.224401

Title: Energy-momentum tensor of a ferromagnet

Journal Article · Mon Dec 03 00:00:00 EST 2018 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.98.224401· OSTI ID:1610023

Dasgupta, Sayak ^[1]; Tchernyshyov, Oleg ^[1]

Johns Hopkins Univ., Baltimore, MD (United States)

The energy-momentum tensor of a ferromagnet derived according to the standard prescription of Noether's theorem has a major flaw: the term originating from the spin Berry phase is gauge dependent. As a consequence, some physical quantities computed from the tensor show unphysical behavior. For example, the presence of a spin-polarized current does not affect the energy of the domain wall in the commonly accepted gauge, which implies, incorrectly, the absence of the adiabatic spin torque. In other gauges, the spin torque shows unphysical glitches occurring when the plane of magnetization crosses the Dirac string associated with a magnetic monopole in spin space. We derive a gauge-invariant energy-momentum tensor that is free from these artifacts but requires the addition of an extra spatial dimension, with the ferromagnet living on its boundary. As a result, it can be obtained most directly from the Wess-Zumino action for spins, which relies on the same extra dimension.

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Research Organization:: Johns Hopkins Univ., Baltimore, MD (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division

Grant/Contract Number:: FG02-08ER46544

OSTI ID:: 1610023

Alternate ID(s):: OSTI ID: 1484322

Journal Information:: Physical Review. B, Vol. 98, Issue 22; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 19 works

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Magnetization dynamics in holographic ferromagnets: Landau-Lifshitz equation from Yang-Mills fields Yokoi, Naoto; Sato, Koji; Saitoh, Eiji Physical Review D, Vol. 100, Issue 10 https://doi.org/10.1103/physrevd.100.106012	journal	November 2019
Magnetization Dynamics in Holographic Ferromagnets: Landau-Lifshitz Equation from Yang-Mills Fields Yokoi, Naoto; Sato, Koji; Saitoh, Eiji arXiv https://doi.org/10.48550/arxiv.1907.12306	text	January 2019
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