Abelian-Higgs dualities in quantum defect-mediated melting phase transitions
- 2018年4月27日14:30 - 17:30 (JST)
- Dr. Aron Beekman (慶應義塾大学)
In the study of zero-temperature quantum phase transitions, instead of looking how symmetry is broken, it is often useful to see how symmetry can be restored by the condensation of topological defects. Through a duality mapping, Nambu-Goldstone modes are represented as gauge bosons, mediating long-range interactions between topological defects. When the latter condense, those bosons get as mass via the Anderson-Higgs mechanism, which signals the loss of rigidity and the restoration of symmetry.
I will first review the best-studied case: the 2+1D superfluid-insulator transitions where the defects are U(1) vortices. Consecutively several extensions are discussed: going to 3+1D where the defects are not point particles but strings, and quantum elasticity, which studies breaking of spatial translations and rotations.
- S. Sachev, Harvard University lecture notes
- A.J. Beekman, D. Sadri and J. Zaanen: New. J. Phys. 13:033004 (2011) arXiv:1006.2267
- A.J. Beekman et al.: Physics Reports 683,1 (2017) arXiv:1603.04254
- A.J. Beekman, J. Nissinen, K. Wu, J. Zaanen: Physical Review B 96, 1651115 (2017) arXiv:1703.03157