Solitons in a one-dimensional Wigner crystal

Pustilnik, M.; Matveev, K. A.

doi:10.1103/PhysRevB.91.165416

Title: Solitons in a one-dimensional Wigner crystal

Abstract

In one-dimensional quantum systems with strong long-range repulsion particles arrange in a quasi-periodic chain, the Wigner crystal. Here, we demonstrate that besides the familiar phonons, such one-dimensional Wigner crystal supports an additional mode of elementary excitations, which can be identified with solitons in the classical limit. Furthermore, we compute the corresponding excitation spectrum and argue that the solitons have a parametrically small decay rate at low energies. Finally, we discuss implications of our results for the behavior of the dynamic structure factor.

Authors:

Pustilnik, M. ^[1]; Matveev, K. A. ^[2]

Georgia Inst. of Technology, Atlanta, GA (United States). School of Physics
Argonne National Lab. (ANL), Argonne, IL (United States). Materials Science Division

Publication Date:: Thu Apr 16 00:00:00 EDT 2015

Research Org.:: Argonne National Laboratory (ANL), Argonne, IL (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

OSTI Identifier:: 1357011

Alternate Identifier(s):: OSTI ID: 1180712

Grant/Contract Number:: AC02-06CH11357

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review. B, Condensed Matter and Materials Physics

Additional Journal Information:: Journal Volume: 91; Journal Issue: 16; Journal ID: ISSN 1098-0121

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 36 MATERIALS SCIENCE

Citation Formats


                    Pustilnik, M., and Matveev, K. A. Solitons in a one-dimensional Wigner crystal.  United States: N. p., 2015. 
Web.  doi:10.1103/PhysRevB.91.165416.

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                    Pustilnik, M., & Matveev, K. A. Solitons in a one-dimensional Wigner crystal.  United States.  https://doi.org/10.1103/PhysRevB.91.165416

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                    Pustilnik, M., and Matveev, K. A. Thu .  
"Solitons in a one-dimensional Wigner crystal".  United States.  https://doi.org/10.1103/PhysRevB.91.165416.  https://www.osti.gov/servlets/purl/1357011.

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@article{osti_1357011,

  title        = {Solitons in a one-dimensional Wigner crystal},

  author       = {Pustilnik, M. and Matveev, K. A.},

  abstractNote = {In one-dimensional quantum systems with strong long-range repulsion particles arrange in a quasi-periodic chain, the Wigner crystal. Here, we demonstrate that besides the familiar phonons, such one-dimensional Wigner crystal supports an additional mode of elementary excitations, which can be identified with solitons in the classical limit. Furthermore, we compute the corresponding excitation spectrum and argue that the solitons have a parametrically small decay rate at low energies. Finally, we discuss implications of our results for the behavior of the dynamic structure factor.},

  doi          = {10.1103/PhysRevB.91.165416},

  journal      = {Physical Review. B, Condensed Matter and Materials Physics},

  number       = 16,

  volume       = 91,

  place        = {United States},

  year         = {Thu Apr 16 00:00:00 EDT 2015},

  month        = {Thu Apr 16 00:00:00 EDT 2015}

}

Copy to clipboard

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Works referenced in this record:

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Works referencing / citing this record:

Equilibration in one-dimensional quantum hydrodynamic systems
journal, September 2017

Sotiriadis, Spyros
Journal of Physics A: Mathematical and Theoretical, Vol. 50, Issue 42
DOI: 10.1088/1751-8121/aa8aa5

Fate of classical solitons in one-dimensional quantum systems
text, January 2015

Pustilnik, M.; Matveev, K. A.
arXiv
DOI: 10.48550/arxiv.1507.05639

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Title: Solitons in a one-dimensional Wigner crystal

Abstract

Citation Formats

Wigner crystal physics in quantum wires journal, December 2008

Wigner crystal in one dimension journal, September 1993

Thermalization of Acoustic Excitations in a Strongly Interacting One-Dimensional Quantum Liquid journal, January 2013

Equilibration of a One-Dimensional Wigner Crystal journal, July 2010

Rate of equilibration of a one-dimensional Wigner crystal journal, June 2012

On the Interaction of Electrons in Metals journal, December 1934

'Luttinger liquid theory' of one-dimensional quantum fluids. I. Properties of the Luttinger model and their extension to the general 1D interacting spinless Fermi gas journal, July 1981

One-dimensional quantum liquids: Beyond the Luttinger liquid paradigm journal, September 2012

Fermionic quasiparticle representation of Tomonaga-Luttinger Hamiltonian journal, September 2005

Dynamical Spin Structure Factor for the Anisotropic Spin- 1 / 2 Heisenberg Chain journal, June 2006

Scattering of hole excitations in a one-dimensional spinless quantum liquid journal, July 2012

Equilibration of a spinless Luttinger liquid journal, January 2012

Momentum of Longitudinal Elastic Vibrations journal, September 1968

New wave‐operator identity applied to the study of persistent currents in 1D journal, May 1974

Beautiful Models: 70 Years of Exactly Solved Quantum Many-Body Problems book, June 2004

Dynamic Response of One-Dimensional Interacting Fermions journal, May 2006

Spectral function of spinless fermions on a one-dimensional lattice journal, April 2009

Coulomb Drag by Small Momentum Transfer between Quantum Wires journal, September 2003

Decay of Fermionic Quasiparticles in One-Dimensional Quantum Liquids journal, December 2013

Fermi-Luttinger liquid: Spectral function of interacting one-dimensional fermions journal, October 2007

Interacting electrons in one dimension beyond the Luttinger-liquid limit journal, May 2010

Spin-Charge Separation and Localization in One Dimension journal, April 2005

Many-body dispersions in interacting ballistic quantum wires journal, September 2004

1D-1D Coulomb Drag Signature of a Luttinger Liquid journal, January 2014

Nonlinear Quantum Shock Waves in Fractional Quantum Hall Edge States journal, December 2006

Quantum Ripples Over a Semiclassical Shock journal, December 2012

Dissipationless kinetics of one-dimensional interacting fermions journal, April 2014

Dynamics of waves in one-dimensional electron systems: Density oscillations driven by population inversion journal, January 2013

Fractionalized wave packets from an artificial Tomonaga–Luttinger liquid journal, February 2014

Voltage-controlled group velocity of edge magnetoplasmon in the quantum Hall regime journal, February 2010

Edge magnetoplasmons in the time domain journal, February 1992

Beautiful models journal, November 2006

Phenomenological expression for densities and currents in condensed media and Umklapp processes text, January 1982

Development of the Theory of a Nonlinear Lattice book, October 1993

On the Interaction of Electrons in Metals journal, May 1955

Wigner crystal physics in quantum wires text, January 2008

Phenomenology of One-Dimensional Quantum Liquids Beyond the Low-Energy Limit text, January 2008

Spectral function of spinless fermions on a one-dimensional lattice text, January 2009

Rate of equilibration of a one-dimensional Wigner crystal text, January 2011

Thermalization of acoustic excitations in a strongly interacting one-dimensional quantum liquid text, January 2012

Dissipationless kinetics of one dimensional interacting fermions text, January 2013

1D-1D Coulomb Drag Signature of a Luttinger Liquid text, January 2013

Many-body dispersions in interacting ballistic quantum wires text, January 2004

Fermi-Luttinger liquid: Spectral function of interacting one-dimensional fermions text, January 2007

Equilibration in one-dimensional quantum hydrodynamic systems journal, September 2017

Fate of classical solitons in one-dimensional quantum systems text, January 2015

Wigner crystal physics in quantum wires
journal, December 2008

Wigner crystal in one dimension
journal, September 1993

Thermalization of Acoustic Excitations in a Strongly Interacting One-Dimensional Quantum Liquid
journal, January 2013

Equilibration of a One-Dimensional Wigner Crystal
journal, July 2010

Rate of equilibration of a one-dimensional Wigner crystal
journal, June 2012

On the Interaction of Electrons in Metals
journal, December 1934

'Luttinger liquid theory' of one-dimensional quantum fluids. I. Properties of the Luttinger model and their extension to the general 1D interacting spinless Fermi gas
journal, July 1981

One-dimensional quantum liquids: Beyond the Luttinger liquid paradigm
journal, September 2012

Fermionic quasiparticle representation of Tomonaga-Luttinger Hamiltonian
journal, September 2005

Dynamical Spin Structure Factor for the Anisotropic Spin- $1 / 2$ Heisenberg Chain
journal, June 2006

Scattering of hole excitations in a one-dimensional spinless quantum liquid
journal, July 2012

Equilibration of a spinless Luttinger liquid
journal, January 2012

Momentum of Longitudinal Elastic Vibrations
journal, September 1968

New wave‐operator identity applied to the study of persistent currents in 1D
journal, May 1974

Beautiful Models: 70 Years of Exactly Solved Quantum Many-Body Problems
book, June 2004

Dynamic Response of One-Dimensional Interacting Fermions
journal, May 2006

Spectral function of spinless fermions on a one-dimensional lattice
journal, April 2009

Coulomb Drag by Small Momentum Transfer between Quantum Wires
journal, September 2003

Decay of Fermionic Quasiparticles in One-Dimensional Quantum Liquids
journal, December 2013

Fermi-Luttinger liquid: Spectral function of interacting one-dimensional fermions
journal, October 2007

Interacting electrons in one dimension beyond the Luttinger-liquid limit
journal, May 2010

Spin-Charge Separation and Localization in One Dimension
journal, April 2005

Many-body dispersions in interacting ballistic quantum wires
journal, September 2004

1D-1D Coulomb Drag Signature of a Luttinger Liquid
journal, January 2014

Nonlinear Quantum Shock Waves in Fractional Quantum Hall Edge States
journal, December 2006

Quantum Ripples Over a Semiclassical Shock
journal, December 2012

Dissipationless kinetics of one-dimensional interacting fermions
journal, April 2014

Dynamics of waves in one-dimensional electron systems: Density oscillations driven by population inversion
journal, January 2013

Fractionalized wave packets from an artificial Tomonaga–Luttinger liquid
journal, February 2014

Voltage-controlled group velocity of edge magnetoplasmon in the quantum Hall regime
journal, February 2010

Edge magnetoplasmons in the time domain
journal, February 1992

Beautiful models
journal, November 2006

Phenomenological expression for densities and currents in condensed media and Umklapp processes
text, January 1982

Development of the Theory of a Nonlinear Lattice
book, October 1993

On the Interaction of Electrons in Metals
journal, May 1955

Wigner crystal physics in quantum wires
text, January 2008

Phenomenology of One-Dimensional Quantum Liquids Beyond the Low-Energy Limit
text, January 2008

Spectral function of spinless fermions on a one-dimensional lattice
text, January 2009

Rate of equilibration of a one-dimensional Wigner crystal
text, January 2011

Thermalization of acoustic excitations in a strongly interacting one-dimensional quantum liquid
text, January 2012

Dissipationless kinetics of one dimensional interacting fermions
text, January 2013

1D-1D Coulomb Drag Signature of a Luttinger Liquid
text, January 2013

Many-body dispersions in interacting ballistic quantum wires
text, January 2004

Fermi-Luttinger liquid: Spectral function of interacting one-dimensional fermions
text, January 2007

Equilibration in one-dimensional quantum hydrodynamic systems
journal, September 2017

Fate of classical solitons in one-dimensional quantum systems
text, January 2015