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

Journal Article · · Physical Review. B
 [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)
+ Show Author Affiliations

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.

Research Organization:
SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
DMR-1507054; AC02-76SF00515
OSTI ID:
1424745
Alternate ID(s):
OSTI ID: 1416441
Journal Information:
Physical Review. B, Vol. 96, Issue 21; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 19 works
Citation information provided by
Web of Science

References (40)

Field Theories of Condensed Matter Physics book January 2013
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
Correlation amplitudes for the spin- 1 2 XXZ chain in a magnetic field journal February 2004
Interplay between symmetric exchange anisotropy, uniform Dzyaloshinskii-Moriya interaction, and magnetic fields in the phase diagram of quantum magnets and superconductors journal April 2010
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
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
Efficient evaluation of high-order moments and cumulants in tensor network states journal September 2015
Correlation amplitude for the S = 1 2 XXZ spin chain in the critical region: Numerical renormalization-group study of an open chain journal July 1998
Spin-orbital effects in magnetized quantum wires and spin chains text January 2007
Spatially Anisotropic Heisenberg Kagome Antiferromagnet text January 2008
Spin Correlations in Quantum Wires text January 2014
Dimer correlation amplitudes and dimer excitation gap in spin-1/2 XXZ and Heisenberg chains text January 2017
Efficient simulation of one-dimensional quantum many-body systems text January 2003

Cited By (1)

Ineffectiveness of the Dzyaloshinskii–Moriya interaction in the dynamical quantum phase transition in the ITF model journal October 2018

Figures / Tables (11)

FIG. 1(p. 2)figure FIG. 1
Table I(p. 3)table Table I
FIG. 2(p. 4)figure FIG. 2
FIG. 3(p. 4)figure FIG. 3
FIG. 4(p. 6)figure FIG. 4
FIG. 5(p. 6)figure FIG. 5
FIG. 6(p. 7)figure FIG. 6
FIG. 7(p. 8)figure FIG. 7
FIG. 8(p. 8)figure FIG. 8
FIG. S1(p. 13)figure FIG. S1
FIG. S2(p. 13)figure FIG. S2

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