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Title: Shadow of complex fixed point: Approximate conformality of Q > 4 Potts model

Journal Article · · Physical Review B
 [1];  [2]
  1. Univ. of Colorado, Boulder, CO (United States)
  2. Perimeter Inst. for Theoretical Physics, Waterloo, ON (Canada)
+ Show Author Affiliations

We study the famous example of weakly first-order phase transitions in the (1 + 1)-dimensional quantum Q-state Potts model with Q > 4. We numerically show that these weakly first-order transitions have approximately conformal invariance. Specifically, we find that entanglement entropy on considerably large system sizes fits perfectly with the universal scaling law of this quantity in conformal field theories (CFTs). This supports that the weakly first-order transitions are proximate to complex fixed points, which are described by recent conjectured complex CFTs. Moreover, the central charge extracted from this fitting is close to the real part of the complex central charge of these complex CFTs. Furthermore, we also study the conformal towers and the drifting behaviors of these conformal data (e.g., central charge and scaling dimensions).

Research Organization:
Univ. of Colorado, Boulder, CO (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
SC0014415
OSTI ID:
1612177
Alternate ID(s):
OSTI ID: 1513316
Journal Information:
Physical Review B, Vol. 99, Issue 19; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 12 works
Citation information provided by
Web of Science

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Cited By (2)

Enhanced thermal Hall effect in the square-lattice Néel state journal October 2019
Conformality loss and quantum criticality in topological Higgs electrodynamics in 2 + 1 dimensions journal October 2019

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Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
Materials Science
Physics
Critical phenomena
Phase transitions
Strongly correlated systems