skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Chiral liquid phase of simple quantum magnets

Abstract

We study a T=0 quantum phase transition between a quantum paramagnetic state and a magnetically ordered state for a spin S=1 XXZ Heisenberg antiferromagnet on a two-dimensional triangular lattice. The transition is induced by an easy-plane single-ion anisotropy D. At the mean-field level, the system undergoes a direct transition at a critical D=D c between a paramagnetic state at D>D c and an ordered state with broken U(1) symmetry at Dc. We show that beyond mean field the phase diagram is very different and includes an intermediate, partially ordered chiral liquid phase. Specifically, we find that inside the paramagnetic phase the Ising (J z) component of the Heisenberg exchange binds magnons into a two-particle bound state with zero total momentum and spin. This bound state condenses at D>D c, before single-particle excitations become unstable, and gives rise to a chiral liquid phase, which spontaneously breaks spatial inversion symmetry, but leaves the spin-rotational U(1) and time-reversal symmetries intact. This chiral liquid phase is characterized by a finite vector chirality without long-range dipolar magnetic order. In our analytical treatment, the chiral phase appears for arbitrarily small J z because the magnon-magnon attraction becomes singular near the single-magnon condensation transition. This phase existsmore » in a finite range of D and transforms into the magnetically ordered state at some Dc. In conclusion, we corroborate our analytic treatment with numerical density matrix renormalization group calculations.« less

Authors:
 [1];  [2]; ORCiD logo [3];  [4];  [5];  [6]
  1. The Univ. of Tennessee, Knoxville, TN (United States)
  2. Northeastern Univ., Boston, MA (United States)
  3. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  4. Univ. of Utah, Salt Lake City, UT (United States)
  5. Univ. of Minnesota, Minneapolis, MN (United States)
  6. The Univ. of Tennessee, Knoxville, TN (United States); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1414150
Alternate Identifier(s):
OSTI ID: 1407829
Report Number(s):
LA-UR-17-22905
Journal ID: ISSN 2469-9950; PRBMDO; TRN: US1800673
Grant/Contract Number:  
AC52-06NA25396; AC02-05CH11231
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 96; Journal Issue: 18; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; Material Science

Citation Formats

Wang, Zhentao, Feiguin, Adrian E., Zhu, Wei, Starykh, Oleg A., Chubukov, Andrey V., and Batista, Cristian D. Chiral liquid phase of simple quantum magnets. United States: N. p., 2017. Web. doi:10.1103/PhysRevB.96.184409.
Wang, Zhentao, Feiguin, Adrian E., Zhu, Wei, Starykh, Oleg A., Chubukov, Andrey V., & Batista, Cristian D. Chiral liquid phase of simple quantum magnets. United States. doi:10.1103/PhysRevB.96.184409.
Wang, Zhentao, Feiguin, Adrian E., Zhu, Wei, Starykh, Oleg A., Chubukov, Andrey V., and Batista, Cristian D. Tue . "Chiral liquid phase of simple quantum magnets". United States. doi:10.1103/PhysRevB.96.184409.
@article{osti_1414150,
title = {Chiral liquid phase of simple quantum magnets},
author = {Wang, Zhentao and Feiguin, Adrian E. and Zhu, Wei and Starykh, Oleg A. and Chubukov, Andrey V. and Batista, Cristian D.},
abstractNote = {We study a T=0 quantum phase transition between a quantum paramagnetic state and a magnetically ordered state for a spin S=1 XXZ Heisenberg antiferromagnet on a two-dimensional triangular lattice. The transition is induced by an easy-plane single-ion anisotropy D. At the mean-field level, the system undergoes a direct transition at a critical D=Dc between a paramagnetic state at D>Dc and an ordered state with broken U(1) symmetry at Dc. We show that beyond mean field the phase diagram is very different and includes an intermediate, partially ordered chiral liquid phase. Specifically, we find that inside the paramagnetic phase the Ising (Jz) component of the Heisenberg exchange binds magnons into a two-particle bound state with zero total momentum and spin. This bound state condenses at D>Dc, before single-particle excitations become unstable, and gives rise to a chiral liquid phase, which spontaneously breaks spatial inversion symmetry, but leaves the spin-rotational U(1) and time-reversal symmetries intact. This chiral liquid phase is characterized by a finite vector chirality without long-range dipolar magnetic order. In our analytical treatment, the chiral phase appears for arbitrarily small Jz because the magnon-magnon attraction becomes singular near the single-magnon condensation transition. This phase exists in a finite range of D and transforms into the magnetically ordered state at some Dc. In conclusion, we corroborate our analytic treatment with numerical density matrix renormalization group calculations.},
doi = {10.1103/PhysRevB.96.184409},
journal = {Physical Review B},
number = 18,
volume = 96,
place = {United States},
year = {Tue Nov 07 00:00:00 EST 2017},
month = {Tue Nov 07 00:00:00 EST 2017}
}

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on November 7, 2018
Publisher's Version of Record

Citation Metrics:
Cited by: 7 works
Citation information provided by
Web of Science

Save / Share: