Spin-1 Kitaev-Heisenberg model on a honeycomb lattice

Dong, Xiao-Yu; Sheng, D. N.

doi:10.1103/physrevb.102.121102

Title: Spin-1 Kitaev-Heisenberg model on a honeycomb lattice

Journal Article · Tue Sep 08 00:00:00 EDT 2020 · Physical Review B

DOI:https://doi.org/10.1103/physrevb.102.121102· OSTI ID:1830784

^[1]; Sheng, D. N. ^[2]

California State Univ., Northridge, CA (United States); Ghent Univ. (Belgium)
California State Univ., Northridge, CA (United States)

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.

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Research Organization:: California State University, Northridge (CSUN), 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, Vol. 102, Issue 12; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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