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  • Unbroken continuous translational invariance is often taken as a basic assumption in discussions of spontaneous symmetry breaking (SSB), which singles out SSB of translational invariance itself as an exceptional case. We present a framework that allows us to treat translational invariance on the same footing as other symmetries. It is shown that existing theorems on SSB can be straightforwardly extended to this general case. As a concrete application, we analyze the Nambu-Goldstone modes in a (ferromagnetic) supersolid. We prove on the ground of the general theorems that the Bogoliubov mode stemming from a spontaneously broken internal U(1) symmetry and the longitudinal phonon due to a crystalline order are distinct physical modes.
  • Unbroken continuous translational invariance is often taken as a basic assumption in discussions of spontaneous symmetry breaking (SSB), which singles out SSB of translational invariance itself as an exceptional case. We present a framework that allows us to treat translational invariance on the same footing as other symmetries. It is shown that existing theorems on SSB can be straightforwardly extended to this general case. As a concrete application, we analyze the Nambu-Goldstone modes in a (ferromagnetic) supersolid. We prove on the ground of the general theorems that the Bogoliubov mode stemming from a spontaneously broken internal U(1) symmetry and the longitudinal phonon due to a crystalline order are distinct physical modes. (en)
Title
  • Spontaneous breaking of continuous translational invariance
  • Spontaneous breaking of continuous translational invariance (en)
skos:prefLabel
  • Spontaneous breaking of continuous translational invariance
  • Spontaneous breaking of continuous translational invariance (en)
skos:notation
  • RIV/61389005:_____/12:00384810!RIV13-AV0-61389005
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • I
http://linked.open...iv/cisloPeriodika
  • 8
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 170557
http://linked.open...ai/riv/idVysledku
  • RIV/61389005:_____/12:00384810
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • spontaneous symmetry breaking; Nambu-Goldstone boson; supersolid (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [24BB20C52111]
http://linked.open...i/riv/nazevZdroje
  • Physical Review D: Particles, Fields, Gravitation and Cosmology
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 85
http://linked.open...iv/tvurceVysledku
  • Brauner, Tomáš
  • Watanabe, H.
http://linked.open...ain/vavai/riv/wos
  • 000302407900004
issn
  • 1550-7998
number of pages
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