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Title: Ising order in a magnetized Heisenberg chain subject to a uniform Dzyaloshinskii-Moriya interaction

Abstract

We report a combined analytical and density matrix renormalized group study of the antiferromagnetic XXZ spin-1/2 Heisenberg chain subject to a uniform Dzyaloshinskii-Moriya (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 spin-rotational 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:
 [1];  [2];  [3];  [2]
  1. Academia Sinica, Taipei (Taiwan)
  2. Univ. of Utah, Salt Lake City, UT (United States)
  3. 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:  
DMR-1507054; AC02-76SF00515
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 96; Journal Issue: 21; 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

Citation Formats

Chan, Yang-Hao, Jin, Wen, Jiang, Hong-Chen, and Starykh, Oleg A. Ising order in a magnetized Heisenberg chain subject to a uniform Dzyaloshinskii-Moriya interaction. United States: N. p., 2017. Web. doi:10.1103/physrevb.96.214441.
Chan, Yang-Hao, Jin, Wen, Jiang, Hong-Chen, & Starykh, Oleg A. Ising order in a magnetized Heisenberg chain subject to a uniform Dzyaloshinskii-Moriya interaction. United States. doi:10.1103/physrevb.96.214441.
Chan, Yang-Hao, Jin, Wen, Jiang, Hong-Chen, and Starykh, Oleg A. Fri . "Ising order in a magnetized Heisenberg chain subject to a uniform Dzyaloshinskii-Moriya 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 Dzyaloshinskii-Moriya interaction},
author = {Chan, Yang-Hao and Jin, Wen and Jiang, Hong-Chen and Starykh, Oleg A.},
abstractNote = {We report a combined analytical and density matrix renormalized group study of the antiferromagnetic XXZ spin-1/2 Heisenberg chain subject to a uniform Dzyaloshinskii-Moriya (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 spin-rotational 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},
number = 21,
volume = 96,
place = {United States},
year = {2017},
month = {12}
}

Journal Article:
Free Publicly Available Full Text
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Citation Metrics:
Cited by: 4 works
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Figures / Tables:

FIG. 1 FIG. 1: Solution of Kosterlitz-Thouless equations (11). Different symbols and colors depict Ising phases Nz (green region) and Ny (yellow region) and the critical Luttinger liquid phase (purple region) according to the RG flow criteria summarized in Table I.

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Works referenced in this record:

Anyons in an exactly solved model and beyond
journal, January 2006


A thermodynamic theory of “weak” ferromagnetism of antiferromagnetics
journal, January 1958


Electron spin resonance in a model S = 1 2 chain antiferromagnet with a uniform Dzyaloshinskii-Moriya interaction
journal, October 2015


Modes of Magnetic Resonance in the Spin-Liquid Phase of Cs 2 CuCl 4
journal, July 2011


Theory of spin-anisotropic electron-electron interactions in quasi-one-dimensional metals
journal, January 1988


Measuring the Dzyaloshinskii–Moriya interaction in a weak ferromagnet
journal, February 2014

  • Dmitrienko, V. E.; Ovchinnikova, E. N.; Collins, S. P.
  • Nature Physics, Vol. 10, Issue 3
  • DOI: 10.1038/nphys2859

Correlation amplitudes for the spin- 1 2 XXZ chain in a magnetic field
journal, February 2004


Spin-orbital effects in magnetized quantum wires and spin chains
journal, August 2008


Efficient Simulation of One-Dimensional Quantum Many-Body Systems
journal, July 2004


Exact expectation values of local fields in the quantum sine-Gordon model
journal, June 1997


The density-matrix renormalization group
journal, April 2005


Quantum spin chains with frustration due to Dzyaloshinskii-Moriya interactions
journal, November 2014


Density-matrix algorithms for quantum renormalization groups
journal, October 1993


Phase diagram of the spin 1 2 triangular J 1 J 2 Heisenberg model on a three-leg cylinder
journal, June 2015


New directions in the pursuit of Majorana fermions in solid state systems
journal, June 2012


Critical phenomena and renormalization-group theory
journal, October 2002


Anisotropic pyrochlores and the global phase diagram of the checkerboard antiferromagnet
journal, September 2005


Unpaired Majorana fermions in quantum wires
journal, October 2001


Density matrix formulation for quantum renormalization groups
journal, November 1992


Spin correlations in quantum wires
journal, April 2015


Spatially anisotropic Heisenberg kagome antiferromagnet
journal, November 2008


Multiferroics: a magnetic twist for ferroelectricity
journal, January 2007

  • Cheong, Sang-Wook; Mostovoy, Maxim
  • Nature Materials, Vol. 6, Issue 1
  • DOI: 10.1038/nmat1804

Anisotropic Superexchange Interaction and Weak Ferromagnetism
journal, October 1960


Gap generation in the XXZ model in a transverse magnetic field
journal, April 2002


Chiral Magnetic Soliton Lattice on a Chiral Helimagnet
journal, March 2012


Dimer correlation amplitudes and dimer excitation gap in spin- 1 2 XXZ and Heisenberg chains
journal, October 2017


Phase diagram of weakly coupled Heisenberg spin chains subject to a uniform Dzyaloshinskii-Moriya interaction
journal, June 2017


Efficient Classical Simulation of Slightly Entangled Quantum Computations
journal, October 2003


Classical Simulation of Infinite-Size Quantum Lattice Systems in One Spatial Dimension
journal, February 2007


Field-induced incommensurate-to-commensurate transition in Ba 2 CuGe 2 O 7
journal, February 1998


New perspectives for Rashba spin–orbit coupling
journal, August 2015

  • Manchon, A.; Koo, H. C.; Nitta, J.
  • Nature Materials, Vol. 14, Issue 9
  • DOI: 10.1038/nmat4360

Efficient evaluation of high-order moments and cumulants in tensor network states
journal, September 2015