DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Charge density waves in disordered media circumventing the Imry-Ma argument

Abstract

Two powerful theoretical predictions, Anderson localization and the Imry-Ma argument, impose significant restrictions on the phases of matter that can exist in the presence of even the smallest amount of disorder in one-dimensional systems. These predictions forbid electrically conducting states and ordered states respectively. It was thus remarkable that a mechanism to circumvent Anderson localization relying on the presence of correlated disorder was found, that is also realized in certain biomolecular systems. Here, in a similar manner, we show that the Imry-Ma argument can be circumvented, resulting in the formation of stable ordered states with discrete broken symmetries in disordered one dimensional systems. We then investigate other mechanisms by which disorder can destroy an ordered state.

Authors:
 [1];  [2];  [1]
  1. Univ. of Illinois, Urbana-Champaign, IL (United States). Dept. of Physics
  2. Univ. of Illinois, Urbana-Champaign, IL (United States). Dept. of Physics; Univ. of California, Berkeley, CA (United States). Dept. of Physics
Publication Date:
Research Org.:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Univ. of Illinois at Urbana-Champaign, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1326656
Grant/Contract Number:  
NA0001789; FG02-12ER46875; OCI-1053575; AC05-00OR22725; DMR 1351895-CAR
Resource Type:
Accepted Manuscript
Journal Name:
Scientific Reports
Additional Journal Information:
Journal Volume: 6; Journal ID: ISSN 2045-2322
Publisher:
Nature Publishing Group
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

Changlani, Hitesh J., Tubman, Norm M., and Hughes, Taylor L. Charge density waves in disordered media circumventing the Imry-Ma argument. United States: N. p., 2016. Web. doi:10.1038/srep31897.
Changlani, Hitesh J., Tubman, Norm M., & Hughes, Taylor L. Charge density waves in disordered media circumventing the Imry-Ma argument. United States. https://doi.org/10.1038/srep31897
Changlani, Hitesh J., Tubman, Norm M., and Hughes, Taylor L. Wed . "Charge density waves in disordered media circumventing the Imry-Ma argument". United States. https://doi.org/10.1038/srep31897. https://www.osti.gov/servlets/purl/1326656.
@article{osti_1326656,
title = {Charge density waves in disordered media circumventing the Imry-Ma argument},
author = {Changlani, Hitesh J. and Tubman, Norm M. and Hughes, Taylor L.},
abstractNote = {Two powerful theoretical predictions, Anderson localization and the Imry-Ma argument, impose significant restrictions on the phases of matter that can exist in the presence of even the smallest amount of disorder in one-dimensional systems. These predictions forbid electrically conducting states and ordered states respectively. It was thus remarkable that a mechanism to circumvent Anderson localization relying on the presence of correlated disorder was found, that is also realized in certain biomolecular systems. Here, in a similar manner, we show that the Imry-Ma argument can be circumvented, resulting in the formation of stable ordered states with discrete broken symmetries in disordered one dimensional systems. We then investigate other mechanisms by which disorder can destroy an ordered state.},
doi = {10.1038/srep31897},
journal = {Scientific Reports},
number = ,
volume = 6,
place = {United States},
year = {Wed Aug 24 00:00:00 EDT 2016},
month = {Wed Aug 24 00:00:00 EDT 2016}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 7 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Order as an effect of disorder
journal, January 1980


Ordering due to disorder in a frustrated vector antiferromagnet
journal, April 1989


Order-by-disorder and spiral spin-liquid in frustrated diamond-lattice antiferromagnets
journal, May 2007

  • Bergman, Doron; Alicea, Jason; Gull, Emanuel
  • Nature Physics, Vol. 3, Issue 7
  • DOI: 10.1038/nphys622

Absence of Diffusion in Certain Random Lattices
journal, March 1958


Anderson localization and interactions in one-dimensional metals
journal, January 1988


The Anderson-Mott transition
journal, April 1994


Metal–insulator transition in a weakly interacting many-electron system with localized single-particle states
journal, May 2006


Many-body localization phase transition
journal, November 2010


Low-Energy Dynamics of the Two-Dimensional S = 1 / 2 Heisenberg Antiferromagnet on Percolating Clusters
journal, September 2006


Emergent Spin Excitations in a Bethe Lattice at Percolation
journal, October 2013


Random-Field Instability of the Ordered State of Continuous Symmetry
journal, November 1975


The Ising model in a random magnetic field
journal, March 1984

  • Fisher, Daniel S.; Fr�hlich, J�rg; Spencer, Thomas
  • Journal of Statistical Physics, Vol. 34, Issue 5-6
  • DOI: 10.1007/BF01009445

On the lower critical dimensionality of the Ising model in a random field
journal, December 1983


Absence of localization in a random-dimer model
journal, July 1990


Characterizing Disordered Fermion Systems Using the Momentum-Space Entanglement Spectrum
journal, January 2013


Localization and Its Absence: A New Metallic State for Conducting Polymers
journal, June 1991


Colloquium : The quest for high-conductance DNA
journal, January 2004


Metal–insulator transition in chains with correlated disorder
journal, August 2002

  • Carpena, Pedro; Bernaola-Galván, Pedro; Ivanov, Plamen Ch.
  • Nature, Vol. 418, Issue 6901
  • DOI: 10.1038/nature00948

Quantum criticality at the origin of life
journal, July 2015


Solvable Model of a Metal-Insulator Transition
journal, December 1990


Density matrix formulation for quantum renormalization groups
journal, November 1992


Observation of many-body localization of interacting fermions in a quasirandom optical lattice
journal, July 2015


Quantum criticality at the origin of life
journal, July 2015


Anderson localization versus charge-density-wave formation in disordered electron systems
journal, January 2013


Polyaniline is a random-dimer model: A new transport mechanism for conducting polymers
journal, March 1991


Long Range Correlations in DNA: Scaling Properties and Charge Transfer Efficiency
journal, November 2003