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Cited by 517

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Computational Studies of Quantum Spin Systems

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Sandvik, Anders W., Avella, Adolfo, Mancini, Ferdinando·2010·AIP Conference Proceedings
DOI 10.1063/1.3518900
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Abstract

These lecture notes introduce quantum spin systems and several computational methods for studying their ground‐state and finite‐temperature properties. Symmetry‐breaking and critical phenomena are first discussed in the simpler setting of Monte Carlo studies of classical spin systems, to illustrate finite‐size scaling at continuous and first‐order phase transitions. Exact diagonalization and quantum Monte Carlo (stochastic series expansion) algorithms and their computer implementations are then discussed in detail. Applications of the methods are illustrated by results for some of the most essential models in quantum magnetism, such as the S = 1/2 Heisenberg antiferromagnet in one and two dimensions, as well as extended models useful for studying quantum phase transitions between antiferromagnetic and magnetically disordered states.

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Metadata

Authors
Sandvik, A. W., Avella, A., & Mancini, F.
Venue
AIP Conference Proceedings
Publisher
AIP
Published
2010
Pages
135-338
ISSN
0094-243X (ISSN-L)
DOI
10.1063/1.3518900
OpenAlex
W2073511410
Cited by
517
References
0
FWCI
43.77
Type
conference paper
Language
en
Open access
bronze

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CoChat. (2026). Citation check: Computational Studies of Quantum Spin Systems. https://app.cochat.ai/papers/10.1063/1.3518900
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Sandvik, A. W., Avella, A., & Mancini, F. (2010). Computational Studies of Quantum Spin Systems. AIP Conference Proceedings. https://doi.org/10.1063/1.3518900

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.