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Numerical evidence for multiplicative logarithmic corrections from marginal operators
Open accessAbstract
Field theory calculations predict multiplicative logarithmic corrections to correlation functions from marginally irrelevant operators. However, for the numerically most suitable model, the spin-\textonehalf{} chain, these corrections have been controversial. In this paper, the spin-spin correlation function of the antiferromagnetic spin-\textonehalf{} chain is calculated numerically in the presence of a next-nearest-neighbor coupling ${J}_{2}$ for chains of up to 32 sites. By varying the coupling strength ${J}_{2}$ we can control the effect of the marginal operator, and our results unambiguously confirm the field theory predictions. The critical value at which the marginal operator vanishes has been determined to be at $\frac{{J}_{2}}{J}=0.241167\ifmmode\pm\else\textpm\fi{}0.000005$.
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Cited by
White, S. R., & Affleck, I. (1996) · Physical Review B · doi:10.1103/physrevb.54.9862 · Cited by 548
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Hikihara, T., Kecke, L., Momoi, T., & Furusaki, A. (2008) · Physical Review B · doi:10.1103/physrevb.78.144404 · Cited by 306
Boundary Effects in the Critical Scaling of Entanglement Entropy in 1D Systems
Laflorencie, N., Sørensen, E. S., Chang, M.-S., & Affleck, I. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.100603 · Cited by 288
Recurrent neural network wave functions
Hibat-Allah, M., Ganahl, M., Hayward, L. E., Melko, R. G., & Carrasquilla, J. (2020) · Physical Review Research · doi:10.1103/physrevresearch.2.023358 · Cited by 274
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Metadata
- Authors
- Eggert, S.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1996-10-01
- Volume
- 54
- Issue
- 14
- Pages
- R9612-R9615
- ISSN
- 0163-1829 (ISSN-L)
- 1095-3795
- OpenAlex
- W1980543267
- Cited by
- 266
- References
- 0
- FWCI
- 3.84
- Type
- journal article
- Language
- en
- Open access
- green
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