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Title: Dual gauge field theory of quantum liquid crystals in three dimensions

Journal Article · · Physical Review. B
 [1];  [2];  [3];  [4]
  1. Keio Univ., Kanagawa (Japan)
  2. Leiden Univ., Leiden (The Netherlands); Aalto Univ., Aalto (Finland)
  3. SLAC National Accelerator Lab., Stanford Univ., Menlo Park, CA (United States)
  4. Leiden Univ., Leiden (The Netherlands)

The dislocation-mediated quantum melting of solids into quantum liquid crystals is extended from two to three spatial dimensions, using a generalization of boson-vortex or Abelian-Higgs duality. Dislocations are now Burgers-vector-valued strings that trace out worldsheets in space-time while the phonons of the solid dualize into two-form (Kalb-Ramond) gauge fields. We propose an effective dual Higgs potential that allows for restoring translational symmetry in either one, two, or three directions, leading to the quantum analogues of columnar, smectic, or nematic liquid crystals. In these phases, transverse phonons turn into gapped, propagating modes, while compressional stress remains massless. Rotational Goldstone modes emerge whenever translational symmetry is restored. Lastly, we also consider the effective electromagnetic response of electrically charged quantum liquid crystals, and find among other things that as a hard principle only two out of the possible three rotational Goldstone modes are observable using propagating electromagnetic fields.

Research Organization:
SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
AC02-76SF00515; S1511006; 694248
OSTI ID:
1408231
Journal Information:
Physical Review. B, Vol. 96, Issue 16; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 27 works
Citation information provided by
Web of Science

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