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Universal term in the free energy at a critical point and the conformal anomaly
Abstract
We show that the leading finite-size correction to lnZ for a two-dimensional system at a conformally invariant critical point on a strip of length L width \ensuremath{\beta}(\ensuremath{\beta}\ensuremath{\ll}L) is (\ensuremath{\pi}/6)c(L/\ensuremath{\beta}), where c is the conformal anomaly. Equivalently, the leading low-temperature correction to the free energy of a one-dimensional quantum system is -(\ensuremath{\pi}/6)cL(kT${)}^{2}$\ensuremath{\Elzxh}v, where v is the effective ``velocity of light.'' The latter formula is used to check recently derived critical theories of spin-s quantum chains against Bethe-Ansatz solutions.
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Citations
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Metadata
- Authors
- Affleck, I.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1986-02-17
- Volume
- 56
- Issue
- 7
- Pages
- 746-748
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2028546484
- Cited by
- 1,222
- References
- 0
- FWCI
- 31.97
- Type
- journal article
- Language
- en
- Open access
- closed
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