Ising order in a magnetized Heisenberg chain subject to a uniform DzyaloshinskiiMoriya interaction
Abstract
We report a combined analytical and density matrix renormalized group study of the antiferromagnetic XXZ spin1/2 Heisenberg chain subject to a uniform DzyaloshinskiiMoriya (DM) interaction and a transverse magnetic eld. The numerically determined phase diagram of this model, which features two ordered Ising phases and a critical Luttinger liquid one with fully broken spinrotational symmetry, agrees well with the predictions of Garate and Affleck [Phys. Rev. B 81, 144419 (2010)]. We also con rm the prevalence of the Nz Neel Ising order in the regime of comparable DM and magnetic field magnitudes.
 Authors:

 Academia Sinica, Taipei (Taiwan)
 Univ. of Utah, Salt Lake City, UT (United States)
 SLAC National Accelerator Lab., Menlo Park, CA (United States)
 Publication Date:
 Research Org.:
 SLAC National Accelerator Lab., Menlo Park, CA (United States)
 Sponsoring Org.:
 USDOE
 OSTI Identifier:
 1424745
 Alternate Identifier(s):
 OSTI ID: 1416441
 Grant/Contract Number:
 DMR1507054; AC0276SF00515
 Resource Type:
 Journal Article: Accepted Manuscript
 Journal Name:
 Physical Review B
 Additional Journal Information:
 Journal Volume: 96; Journal Issue: 21; Journal ID: ISSN 24699950
 Publisher:
 American Physical Society (APS)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Citation Formats
Chan, YangHao, Jin, Wen, Jiang, HongChen, and Starykh, Oleg A. Ising order in a magnetized Heisenberg chain subject to a uniform DzyaloshinskiiMoriya interaction. United States: N. p., 2017.
Web. doi:10.1103/physrevb.96.214441.
Chan, YangHao, Jin, Wen, Jiang, HongChen, & Starykh, Oleg A. Ising order in a magnetized Heisenberg chain subject to a uniform DzyaloshinskiiMoriya interaction. United States. doi:10.1103/physrevb.96.214441.
Chan, YangHao, Jin, Wen, Jiang, HongChen, and Starykh, Oleg A. Fri .
"Ising order in a magnetized Heisenberg chain subject to a uniform DzyaloshinskiiMoriya interaction". United States. doi:10.1103/physrevb.96.214441. https://www.osti.gov/servlets/purl/1424745.
@article{osti_1424745,
title = {Ising order in a magnetized Heisenberg chain subject to a uniform DzyaloshinskiiMoriya interaction},
author = {Chan, YangHao and Jin, Wen and Jiang, HongChen and Starykh, Oleg A.},
abstractNote = {We report a combined analytical and density matrix renormalized group study of the antiferromagnetic XXZ spin1/2 Heisenberg chain subject to a uniform DzyaloshinskiiMoriya (DM) interaction and a transverse magnetic eld. The numerically determined phase diagram of this model, which features two ordered Ising phases and a critical Luttinger liquid one with fully broken spinrotational symmetry, agrees well with the predictions of Garate and Affleck [Phys. Rev. B 81, 144419 (2010)]. We also con rm the prevalence of the Nz Neel Ising order in the regime of comparable DM and magnetic field magnitudes.},
doi = {10.1103/physrevb.96.214441},
journal = {Physical Review B},
issn = {24699950},
number = 21,
volume = 96,
place = {United States},
year = {2017},
month = {12}
}
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Figures / Tables:
FIG. 1: Solution of KosterlitzThouless equations (11). Different symbols and colors depict Ising phases N^{z} (green region) and N^{y} (yellow region) and the critical Luttinger liquid phase (purple region) according to the RG flow criteria summarized in Table I.
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