skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Dynamic scaling of topological ordering in classical systems

; ; ; ;
Publication Date:
Sponsoring Org.:
OSTI Identifier:
Grant/Contract Number:  
FG02- 06ER46316
Resource Type:
Publisher's Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Name: Physical Review B Journal Volume: 97 Journal Issue: 2; Journal ID: ISSN 2469-9950
American Physical Society
Country of Publication:
United States

Citation Formats

Xu, Na, Castelnovo, Claudio, Melko, Roger G., Chamon, Claudio, and Sandvik, Anders W. Dynamic scaling of topological ordering in classical systems. United States: N. p., 2018. Web. doi:10.1103/PhysRevB.97.024432.
Xu, Na, Castelnovo, Claudio, Melko, Roger G., Chamon, Claudio, & Sandvik, Anders W. Dynamic scaling of topological ordering in classical systems. United States. doi:10.1103/PhysRevB.97.024432.
Xu, Na, Castelnovo, Claudio, Melko, Roger G., Chamon, Claudio, and Sandvik, Anders W. Mon . "Dynamic scaling of topological ordering in classical systems". United States. doi:10.1103/PhysRevB.97.024432.
title = {Dynamic scaling of topological ordering in classical systems},
author = {Xu, Na and Castelnovo, Claudio and Melko, Roger G. and Chamon, Claudio and Sandvik, Anders W.},
abstractNote = {},
doi = {10.1103/PhysRevB.97.024432},
journal = {Physical Review B},
number = 2,
volume = 97,
place = {United States},
year = {2018},
month = {1}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevB.97.024432

Citation Metrics:
Cited by: 1 work
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Dual time scales in simulated annealing of a two-dimensional Ising spin glass
journal, May 2017

Critical acceleration of lattice gauge simulations
journal, January 1990

  • Ben-Av, R.; Kandel, D.; Katznelson, E.
  • Journal of Statistical Physics, Vol. 58, Issue 1-2
  • DOI: 10.1007/BF01020288

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

Topological order and topological entropy in classical systems
journal, November 2007

Kibble-Zurek problem: Universality and the scaling limit
journal, August 2012

First-Passage Times for Random Walks in Bounded Domains
journal, December 2005

Duality in Generalized Ising Models and Phase Transitions without Local Order Parameters
journal, October 1971

  • Wegner, Franz J.
  • Journal of Mathematical Physics, Vol. 12, Issue 10
  • DOI: 10.1063/1.1665530

Cosmological experiments in condensed matter systems
journal, November 1996

Quench dynamics of the 2d XY model
journal, February 2011

Topological quantum memory
journal, September 2002

  • Dennis, Eric; Kitaev, Alexei; Landahl, Andrew
  • Journal of Mathematical Physics, Vol. 43, Issue 9
  • DOI: 10.1063/1.1499754

Quantum orders and symmetric spin liquids
journal, April 2002

Colloquium : Nonequilibrium dynamics of closed interacting quantum systems
journal, August 2011

  • Polkovnikov, Anatoli; Sengupta, Krishnendu; Silva, Alessandro
  • Reviews of Modern Physics, Vol. 83, Issue 3
  • DOI: 10.1103/RevModPhys.83.863

Quantum spin liquids: a review
journal, November 2016

An introduction to lattice gauge theory and spin systems
journal, October 1979

Topological order in a three-dimensional toric code at finite temperature
journal, October 2008

Topological Orders in Rigid States
journal, February 1990

Classical topological order in kagome ice
journal, April 2011

  • Macdonald, Andrew J.; Holdsworth, Peter C. W.; Melko, Roger G.
  • Journal of Physics: Condensed Matter, Vol. 23, Issue 16
  • DOI: 10.1088/0953-8984/23/16/164208

Topology of cosmic domains and strings
journal, August 1976

Dynamic scaling in the two-dimensional Ising spin glass with normal-distributed couplings
journal, November 2017

Quantum versus Classical Annealing: Insights from Scaling Theory and Results for Spin Glasses on 3-Regular Graphs
journal, April 2015

Non-Abelian anyons and topological quantum computation
journal, September 2008

Periodic Laughlin-Jastrow wave functions for the fractional quantized Hall effect
journal, February 1985

Treatment of the 3D Ising gauge model by a Monte Carlo renormalisation group method
journal, March 1985

Critical percolation in the slow cooling of the bi-dimensional ferromagnetic Ising model
journal, January 2018

  • Ricateau, Hugo; Cugliandolo, Leticia F.; Picco, Marco
  • Journal of Statistical Mechanics: Theory and Experiment, Vol. 2018, Issue 1
  • DOI: 10.1088/1742-5468/aa9bb4

Fault-tolerant quantum computation by anyons
journal, January 2003

Study on dynamical critical exponents of the Ising model using the damage spreading method
journal, August 1995

Universal dynamic scaling in three-dimensional Ising spin glasses
journal, August 2015

Slow cooling of an Ising ferromagnet
journal, February 2010

Dynamical critical exponent of the 3D Ising model
journal, April 1987

  • Wansleben, S.; Landau, D. P.
  • Journal of Applied Physics, Vol. 61, Issue 8
  • DOI: 10.1063/1.338572

Kibble-Zurek mechanism and infinitely slow annealing through critical points
journal, May 2010

Spontaneous creation of Kibble–Zurek solitons in a Bose–Einstein condensate
journal, September 2013

  • Lamporesi, Giacomo; Donadello, Simone; Serafini, Simone
  • Nature Physics, Vol. 9, Issue 10
  • DOI: 10.1038/nphys2734

Universal space-time scaling symmetry in the dynamics of bosons across a quantum phase transition
journal, November 2016

Quench dynamics near a quantum critical point
journal, January 2010

Emergent Coulombic criticality and Kibble-Zurek scaling in a topological magnet
journal, August 2015

Dynamic scaling at classical phase transitions approached through nonequilibrium quenching
journal, February 2014

Topological orders and edge excitations in fractional quantum Hall states
journal, October 1995

Universal adiabatic dynamics in the vicinity of a quantum critical point
journal, October 2005

Cosmological experiments in superfluid helium?
journal, October 1985

Solving the 3d Ising Model with the Conformal Bootstrap II. $$c$$ c -Minimization and Precise Critical Exponents
journal, June 2014

  • El-Showk, Sheer; Paulos, Miguel F.; Poland, David
  • Journal of Statistical Physics, Vol. 157, Issue 4-5
  • DOI: 10.1007/s10955-014-1042-7

Universal nonequilibrium quantum dynamics in imaginary time
journal, December 2011

Relaxation dynamics of the toric code in contact with a thermal reservoir: Finite-size scaling in a low-temperature regime
journal, October 2014