Zero-temperature quantum phase transition of a two-dimensional Ising spin glass
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We study the quantum transition at T=0 in the spin-1/2 Ising spin glass in a transverse field in two dimensions. The world line path integral representation of this model corresponds to an effective classical system in 2+1 dimensions, which we study by Monte Carlo simulations. Values of the critical exponents are estimated by a finite-size scaling analysis. We find that the dynamical exponent, z, and the correlation length exponent, \ensuremath{\nu}, are given by z=1.5\ifmmode\pm\else\textpm\fi{}0.05 and \ensuremath{\nu}=1.0\ifmmode\pm\else\textpm\fi{}0.1. Both the linear and nonlinear susceptibility are found to diverge at the critical point.
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The classical estimates of Ref. 37 updated the previous literature estimates of z = 1.50(5) and ν = 1.0(1).
“The classical estimates of Ref. 37 updated the previous literature estimates 146 of z = 1.50(5) and ν = 1.0(1)”
From Beyond-classical computation in quantum simulation (2025) · cites this paper as [146]
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Research works printed but not linked: 1
- [1][1] K. Binder and A. P. Young, Rev. Mod. Phys. 58 , 801 (1986); D. H. Ryan (Ed.) Recent Progress in Random Magnets (World Scientific, Singapore, 1992). -
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- Authors
- Rieger, H., & Young, A. P.
- Affiliations
- University of Cologne (DE)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1994-06-27
- Volume
- 72
- Issue
- 26
- Pages
- 4141-4144
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W1989654101
- Cited by
- 165
- References
- 0
- Citations by year
- 2026: 3 · 2025: 6 · 2024: 5 · 2023: 3 · 2022: 6 · 2021: 2 · 2020: 7 · 2019: 1 · 2018: 2 · 2017: 4 · 2016: 4 · 2015: 5 · 2013: 2 · 2012: 5
- FWCI
- 7.64
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Theoretical and Computational Physics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Physics of Superconductivity and Magnetism
- Keywords
- quantum phase transitions, Ising spin glass, transverse field, zero temperature, two-dimensional spin glass, critical exponents, dynamical exponent, correlation length exponent, finite-size scaling, nonlinear optical susceptibility, linear susceptibility
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