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

Chan, Yang-Hao; Jin, Wen; Jiang, Hong-Chen; Starykh, Oleg A.

doi:10.1103/physrevb.96.214441

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:

Chan, Yang-Hao ^[1]; Jin, Wen ^[2]; Jiang, Hong-Chen ^[3]; Starykh, Oleg A. ^[2]

Academia Sinica, Taipei (Taiwan)
Univ. of Utah, Salt Lake City, UT (United States)
SLAC National Accelerator Lab., Menlo Park, CA (United States)

Publication Date:: Fri Dec 29 00:00:00 EST 2017

Research Org.:: SLAC National Accelerator Laboratory (SLAC), 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.

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                    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.  https://doi.org/10.1103/physrevb.96.214441

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                    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.  https://doi.org/10.1103/physrevb.96.214441.  https://www.osti.gov/servlets/purl/1424745.

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@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         = {Fri Dec 29 00:00:00 EST 2017},

  month        = {Fri Dec 29 00:00:00 EST 2017}

}

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Journal Article:

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https://doi.org/10.1103/physrevb.96.214441

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Cited by: 19 works

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Figures / Tables:

FIG. 1: Solution of Kosterlitz-Thouless 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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Works referencing / citing this record:

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

Cheraghi, Hadi; Mahdavifar, Saeed
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Title: Ising order in a magnetized Heisenberg chain subject to a uniform Dzyaloshinskii-Moriya interaction

Abstract

Citation Formats

Figures / Tables:

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

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

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 $S = \frac{1}{2}$ 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- $\frac{1}{2}$ $XXZ$ 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 $spin - \frac{1}{2}$ 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- $\frac{1}{2}$ 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

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journal, August 2015

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

Correlation amplitude for the $S = \frac{1}{2}$ $XXZ$ 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

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