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Title: Dimer description of the SU(4) antiferromagnet on the triangular lattice

Journal Article · · SciPost Physics
 [1];  [2];  [3]
  1. Kavli Institute for Theoretical Physics, Microsoft
  2. University of Lyon, Kavli Institute for Theoretical Physics
  3. Canadian Institute for Advanced Research, Kavli Institute for Theoretical Physics
+ Show Author Affiliations

In systems with many local degrees of freedom, high-symmetry points in the phase diagram can provide an important starting point for the investigation of their properties throughout the phase diagram. In systems with both spin and orbital (or valley) degrees of freedom such a starting point gives rise to SU(4)-symmetric models. Here we consider SU(4)-symmetric "spin'' models, corresponding to Mott phases at half-filling, i.e. the six-dimensional representation of SU(4). This may be relevant to twisted multilayer graphene. In particular, we study the SU(4) antiferromagnetic "Heisenberg'' model on the triangular lattice, both in the classical limit and in the quantum regime. Carrying out a numerical study using the density matrix renormalization group (DMRG), we argue that the ground state is non-magnetic. We then derive a dimer expansion of the SU(4) spin model. An exact diagonalization (ED) study of the effective dimer model suggests that the ground state breaks translation invariance, forming a valence bond solid (VBS) with a 12-site unit cell. Finally, we consider the effect of SU(4)-symmetry breaking interactions due to Hund's coupling, and argue for a possible phase transition between a VBS and a magnetically ordered state.

Research Organization:
Univ. of California, Santa Barbara, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
FG02-08ER46524
OSTI ID:
1618347
Alternate ID(s):
OSTI ID: 1800576
Journal Information:
SciPost Physics, Journal Name: SciPost Physics Vol. 8 Journal Issue: 5; ISSN 2542-4653
Publisher:
Stichting SciPostCopyright Statement
Country of Publication:
Netherlands
Language:
English
Citation Metrics:
Cited by: 6 works
Citation information provided by
Web of Science

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