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This content will become publicly available on March 22, 2019

Title: Fermion-induced quantum criticality with two length scales in Dirac systems

The quantum phase transition to a Z 3-ordered Kekule valence bond solid in two-dimensional Dirac semimetals is governed by a fermion-induced quantum critical point, which renders the putatively discontinuous transition continuous. We study the resulting universal critical behavior in terms of a functional RG approach, which gives access to the scaling behavior on the symmetry-broken side of the phase transition, for general dimension and number of Dirac fermions. In particular, we investigate the emergence of the fermion-induced quantum critical point for space-time dimensions 2 < d < 4. We determine the integrated RG ow from the Dirac semi-metal to the symmetry-broken regime and analyze the underlying fixed point structure. We show that the fermion-induced criticality leads to a scaling form with two divergent length scales, due to the breaking of the discrete Z 3 symmetry. This provides another source of scaling corrections, besides the one stemming from being in the proximity to the first order transition.
Authors:
 [1] ;  [2] ;  [3] ;  [1]
  1. Univ. of Cologne (Germany)
  2. Brookhaven National Lab. (BNL), Upton, NY (United States)
  3. Simon Fraser Univ., Burnaby, BC (Canada)
Publication Date:
Report Number(s):
BNL-207976-2018-JAAM
Journal ID: ISSN 2469-9950; PRBMDO
Grant/Contract Number:
SC0012704
Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 97; Journal Issue: 12; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Research Org:
Brookhaven National Lab. (BNL), Upton, NY (United States)
Sponsoring Org:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
OSTI Identifier:
1466621
Alternate Identifier(s):
OSTI ID: 1427884