Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal Club for Condensed Matter Physics

Does dimensionality distinguish difficult questions?

Published May 30, 2013• 0 citations
Publisher

Abstract

1. Evidence of Non-Mean-Field Low-Temperature Behavior in the Edwards-Anderson Spin-Glass Model. Authors: Burcu Yucesoy, Helmut G. Katzgraber, and Jon Machta. Phys. Rev. Lett. 109, 177204 (2012) Recommended with a commentary by A. Alan Middleton, Syracuse University |View Commentary (PDF)| DOI: 10.36471/JCCM_May_2013_01 https://doi.org/10.36471/JCCM_May_2013_01

DOI
10.36471/jccm_may_2013_01

Related papers

Yucesoy, Katzgraber, and Machta Reply:

Burcu Yücesoy, Helmut G. Katzgraber, Jonathan L. Machta

In Phys. Rev. Lett. 110, 219701 (2013) [arXiv:1211.0843] Billoire et al. criticize the conclusions of our Letter [Phys. Rev. Lett. 109, 177204 (2012), arxiv:1206.0783]. They argue that considering the Edwards-Anderson and Sherrington-Kirkpatrick models at the same temperature is inappropriate and propose an interpretation based on the replica symmetry breaking theory. Here we show that the theory presented in the Comment does not explain our data on the Edwards-Anderson spin glass and we stand by our assertion that the low-temperature behavior of the Edwards-Anderson spin glass model does not appear to be mean-field like.

arXiv:1304.5210•Physical Review Letters•May 24, 2013•12 citations

Comment on “Evidence of Non-Mean-Field-Like Low-Temperature Behavior in the Edwards-Anderson Spin-Glass Model”

Alain H. Billoire, L. A. Fernández, A. Maiorano +6 more

A recent interesting paper [Yucesoy et al. Phys. Rev. Lett. 109, 177204 (2012), arXiv:1206:0783] compares the low-temperature phase of the 3D Edwards-Anderson (EA) model to its mean-field counterpart, the Sherrington-Kirkpatrick (SK) model. The authors study the overlap distributions P_J(q) and conclude that the two models behave differently. Here we notice that a similar analysis using state-of-the-art, larger data sets for the EA model (generated with the Janus computer) leads to a very clear interpretation of the results of Yucesoy et al., showing that the EA model behaves as predicted by the replica symmetry breaking (RSB) theory.

arXiv:1211.0843•Physical Review Letters•May 24, 2013•23 citations

Evidence of Non-Mean-Field-Like Low-Temperature Behavior in the Edwards-Anderson Spin-Glass Model

Burcu Yücesoy, Helmut G. Katzgraber, Jonathan L. Machta

The three-dimensional Edwards-Anderson and mean-field Sherrington-Kirkpatrick Ising spin glasses are studied via large-scale Monte Carlo simulations at low temperatures, deep within the spin-glass phase. Performing a careful statistical analysis of several thousand independent disorder realizations and using an observable that detects peaks in the overlap distribution, we show that the Sherrington-Kirkpatrick and Edwards-Anderson models have a distinctly different low-temperature behavior. The structure of the spin-glass overlap distribution for the Edwards-Anderson model suggests that its low-temperature phase has only a single pair of pure states.

arXiv:1206.0783•Physical Review Letters•Oct 23, 2012•37 citations

Entanglement measure for Kondo spin at finite temperatures

Universal Thermal Entanglement of Multichannel Kondo Effects Authors: Donghoon Kim, Jeongmin Shim, and H.-S. Sim Phys. Rev. Lett. 127, 226801 (2021); DOI: 10.1103/PhysRevLett.127.226801 Recommended with a commentary by Masaki Oshikawa, University of Tokyo |View Commentary (pdf)| This commentary may be cited as: DOI: 10.36471/JCCM_August_2022_02 https://doi.org/10.36471/JCCM_August_2022_02

Journal Club for Condensed Matter Physics•Aug 31, 2022•0 citations

Typical Value of Susceptibilities in the Three Dimensional Edwards-Anderson Spin Glass Model in an External Field

Sheng Feng, Ka-Ming Tam, Fang Ye +3 more

Bulletin of the American Physical Society•Mar 3, 2015•0 citations

Topological Quantum Orders at Finite Temperature

Ashvin Vishwanath

Finite-Temperature Quantum Topological Order in Three Dimensions Authors: Shu-Tong Zhou, Meng Cheng, Tibor Rakovszky, Curt von Keyserlingk, and Tyler D. Ellison Phys. Rev. Lett. 135, 040402 (2025), DOI: 10.1103/n9sq-8cxw Recommended with a commentary by Ashvin Vishwanath , Harvard University |View Commentary (pdf)| This commentary may be cited as: DOI: 10.36471/JCCM_January_2026_03 https://doi.org/10.36471/JCCM_January_2026_03

Journal Club for Condensed Matter Physics•Jan 31, 2026•0 citations
  1. Evidence of Non-Mean-Field Low-Temperature Behavior in the Edwards-Anderson Spin-Glass Model. Authors: Burcu Yucesoy, Helmut G. Katzgraber, and Jon Machta. Phys. Rev. Lett. 109, 177204 (2012) Recommended with a commentary by A. Alan Middleton, Syracuse University |View Commentary (PDF)| DOI: 10.36471/JCCM_May_2013_01 https://doi.org/10.36471/JCCM_May_2013_01
In Phys. Rev. Lett. 110, 219701 (2013) [arXiv:1211.0843] Billoire et al. criticize the conclusions of our Letter [Phys. Rev. Lett. 109, 177204 (2012), arxiv:1206.0783]. They argue that considering the Edwards-Anderson and Sherrington-Kirkpatrick models at the same temperature is inappropriate and propose an interpretation based on the replica symmetry breaking theory. Here we show that the theory presented in the Comment does not explain our data on the Edwards-Anderson spin glass and we stand by our assertion that the low-temperature behavior of the Edwards-Anderson spin glass model does not appear to be mean-field like.
A recent interesting paper [Yucesoy et al. Phys. Rev. Lett. 109, 177204 (2012), arXiv:1206:0783] compares the low-temperature phase of the 3D Edwards-Anderson (EA) model to its mean-field counterpart, the Sherrington-Kirkpatrick (SK) model. The authors study the overlap distributions P_J(q) and conclude that the two models behave differently. Here we notice that a similar analysis using state-of-the-art, larger data sets for the EA model (generated with the Janus computer) leads to a very clear interpretation of the results of Yucesoy et al., showing that the EA model behaves as predicted by the replica symmetry breaking (RSB) theory.
The three-dimensional Edwards-Anderson and mean-field Sherrington-Kirkpatrick Ising spin glasses are studied via large-scale Monte Carlo simulations at low temperatures, deep within the spin-glass phase. Performing a careful statistical analysis of several thousand independent disorder realizations and using an observable that detects peaks in the overlap distribution, we show that the Sherrington-Kirkpatrick and Edwards-Anderson models have a distinctly different low-temperature behavior. The structure of the spin-glass overlap distribution for the Edwards-Anderson model suggests that its low-temperature phase has only a single pair of pure states.