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Quantum Monte Carlo...
Quantum Monte Carlo study of the transverse-field quantum Ising modelon infinite-dimensional structures
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- Baek, Seung Ki (author)
- Umeå universitet,Institutionen för fysik,IceLab
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- Um, Jaegon (author)
- Korea Institute for Advanced Study, Seoul, Korea
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- Yi, Su Do (author)
- Department of Physics, Sungkyunkwan University, Suwon, Republic of Korea
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- Kim, Beom Jun (author)
- Department of Physics, Sungkyunkwan University, Suwon, Republic of Korea
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(creator_code:org_t)
- American Physical Society, 2011
- 2011
- English.
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In: Physical Review B Condensed Matter. - : American Physical Society. - 0163-1829 .- 1095-3795. ; 84, s. 174419-
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https://umu.diva-por... (primary) (Raw object)
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Subject headings
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- In a number of classical statistical-physical models, there exists acharacteristic dimensionality called the upper critical dimension abovewhich one observes the mean-field critical behavior. Instead of constructinghigh-dimensional lattices, however, one can also considerinfinite-dimensional structures, and the question is whether this mean-fieldcharacter extends to quantum-mechanical cases as well. We thereforeinvestigate the transverse-field quantum Ising model on the globally couplednetwork and on the Watts-Strogatz small-world network by means of quantum MonteCarlo simulations and the finite-size scaling analysis. We confirm that bothof the structures exhibit critical behavior consistent with the mean-fielddescription. In particular, we show that the existing cumulant methodhas difficulty in estimating the correct dynamic critical exponent andsuggest that an order parameter based on the quantum-mechanicalexpectation value can be a practically useful numerical observable todetermine critical behavior when there is no well-defined dimensionality.
Subject headings
- NATURVETENSKAP -- Fysik -- Den kondenserade materiens fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences -- Condensed Matter Physics (hsv//eng)
Publication and Content Type
- ref (subject category)
- art (subject category)
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