Global phase diagram and quantum spin liquids in a spin- triangular antiferromagnet
Abstract
For this research, we study the spin-1/2 Heisenberg model on the triangular lattice with the nearest-neighbor J1 > 0 , the next-nearest-neighobr J2 > 0 Heisenberg interactions, and the additional scalar chiral interaction Jχ ($$\vec{S}$$i × $$\vec{S}$$j ) · $$\vec{S}$$k for the three spins in all the triangles using large-scale density matrix renormalization group calculation on cylinder geometry. With increasing J2 (J2 / J1 ≤ 0.3 ) and Jχ (Jχ / J1 ≤ 1.0 ) interactions, we establish a quantum phase diagram with the magnetically ordered 120°, stripe, and noncoplanar tetrahedral phase. In between these magnetic order phases, we find a chiral spin liquid (CSL) phase, which is identified as a ν = 1/2 bosonic fractional quantum Hall state with possible spontaneous rotational symmetry breaking. By switching on the chiral interaction, we find that the previously identified spin liquid in the J1 - J2 triangular model (0.08 ≲ J2 / J1 ≲ 0.15) shows a phase transition to the CSL phase at very small Jχ. We also compute the spin triplet gap in both spin liquid phases, and our finite-size results suggest a large gap in the odd topological sector but a small or vanishing gap in the even sector. Lastly, we discuss the implications of our results on the nature of the spin liquid phases.
- Authors:
-
[2];
[2];
- Florida State Univ., Tallahassee, FL (United States)
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- California State University, Northridge, CA (United States)
- Publication Date:
- Research Org.:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1414112
- Alternate Identifier(s):
- OSTI ID: 1374653
- Report Number(s):
- LA-UR-17-23332
Journal ID: ISSN 2469-9950; PRBMDO; TRN: US1800639
- Grant/Contract Number:
- AC52-06NA25396
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review B
- Additional Journal Information:
- Journal Volume: 96; Journal Issue: 7; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; 36 MATERIALS SCIENCE
Citation Formats
Gong, Shou-Shu, Zhu, Wei, Zhu, Jianxin, Sheng, Donna N., and Yang, Kun. Global phase diagram and quantum spin liquids in a spin- 12 triangular antiferromagnet. United States: N. p., 2017.
Web. doi:10.1103/PhysRevB.96.075116.
Gong, Shou-Shu, Zhu, Wei, Zhu, Jianxin, Sheng, Donna N., & Yang, Kun. Global phase diagram and quantum spin liquids in a spin- 12 triangular antiferromagnet. United States. https://doi.org/10.1103/PhysRevB.96.075116
Gong, Shou-Shu, Zhu, Wei, Zhu, Jianxin, Sheng, Donna N., and Yang, Kun. Wed .
"Global phase diagram and quantum spin liquids in a spin- 12 triangular antiferromagnet". United States. https://doi.org/10.1103/PhysRevB.96.075116. https://www.osti.gov/servlets/purl/1414112.
@article{osti_1414112,
title = {Global phase diagram and quantum spin liquids in a spin- 12 triangular antiferromagnet},
author = {Gong, Shou-Shu and Zhu, Wei and Zhu, Jianxin and Sheng, Donna N. and Yang, Kun},
abstractNote = {For this research, we study the spin-1/2 Heisenberg model on the triangular lattice with the nearest-neighbor J1 > 0 , the next-nearest-neighobr J2 > 0 Heisenberg interactions, and the additional scalar chiral interaction Jχ ($\vec{S}$i × $\vec{S}$j ) · $\vec{S}$k for the three spins in all the triangles using large-scale density matrix renormalization group calculation on cylinder geometry. With increasing J2 (J2 / J1 ≤ 0.3 ) and Jχ (Jχ / J1 ≤ 1.0 ) interactions, we establish a quantum phase diagram with the magnetically ordered 120°, stripe, and noncoplanar tetrahedral phase. In between these magnetic order phases, we find a chiral spin liquid (CSL) phase, which is identified as a ν = 1/2 bosonic fractional quantum Hall state with possible spontaneous rotational symmetry breaking. By switching on the chiral interaction, we find that the previously identified spin liquid in the J1 - J2 triangular model (0.08 ≲ J2 / J1 ≲ 0.15) shows a phase transition to the CSL phase at very small Jχ. We also compute the spin triplet gap in both spin liquid phases, and our finite-size results suggest a large gap in the odd topological sector but a small or vanishing gap in the even sector. Lastly, we discuss the implications of our results on the nature of the spin liquid phases.},
doi = {10.1103/PhysRevB.96.075116},
journal = {Physical Review B},
number = 7,
volume = 96,
place = {United States},
year = {Wed Aug 09 00:00:00 EDT 2017},
month = {Wed Aug 09 00:00:00 EDT 2017}
}
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