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Spin-1 Kitaev-Heisenberg model on a honeycomb lattice

Journal Article · · Physical Review B
 [1];  [2]
  1. California State Univ., Northridge, CA (United States); Ghent Univ. (Belgium); CSUN
  2. California State Univ., Northridge, CA (United States)
+ Show Author Affiliations
We study the Kitaev-Heisenberg model with spin-1 local degree of freedom on a honeycomb lattice numerically by the infinite density matrix renormalization group method on a cylinder geometry. By tuning the relative value of the Kitaev and Heisenberg exchange couplings, we obtain the phase diagram with two spin liquid phases and four symmetry-broken phases. Here, we identify that the spin liquid phases are gapless by calculating the central charge at the pure Kitaev points without the Heisenberg interactions. Comparing to its spin-1/2 counterpart, the position and number of gapless modes of the spin-1 case are quite different. Due to the approximate Z2 local conservations, the expectation value of the Wilson loop operator measuring the flux of each plaquette stays near to 1, and the static spin-spin correlations remain short range in the entire spin liquid phases.
Research Organization:
California State Univ., Northridge, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division
Grant/Contract Number:
FG02-06ER46305
OSTI ID:
1830784
Journal Information:
Physical Review B, Journal Name: Physical Review B Journal Issue: 12 Vol. 102; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

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75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
Density matrix renormalization group
Kitaev model
Kitaev-Heisenberg model
Matrix product states
Quantum spin liquid