Spin-s wavefunctions with algebraic order
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arXiv
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| Format: | Preprint |
| Published: |
2004
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| _version_ | 1866908767729221632 |
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| author | Narayan, Onuttom Shastry, B. Sriram |
| author_facet | Narayan, Onuttom Shastry, B. Sriram |
| contents | We generalize the Gutzwiller wavefunction for s = 1/2 spin chains to construct a family of wavefunctions for all s > 1/2. Through numerical simulations, we demonstrate that the spin spin correlation functions for all s decay as a power law with logarithmic corrections. This is done by mapping the model to a classical statistical mechanical model, which has coupled Ising spin chains with long range interactions. The power law exponents are those of the Wess Zumino Witten models with k = 2s. Thus these simple wavefunctions reproduce the spin correlations of the family of Hamiltonians obtained by the Algebraic Bethe Ansatz. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_cond_mat_0406534 |
| institution | arXiv |
| publishDate | 2004 |
| record_format | arxiv |
| spellingShingle | Spin-s wavefunctions with algebraic order Narayan, Onuttom Shastry, B. Sriram Strongly Correlated Electrons Statistical Mechanics We generalize the Gutzwiller wavefunction for s = 1/2 spin chains to construct a family of wavefunctions for all s > 1/2. Through numerical simulations, we demonstrate that the spin spin correlation functions for all s decay as a power law with logarithmic corrections. This is done by mapping the model to a classical statistical mechanical model, which has coupled Ising spin chains with long range interactions. The power law exponents are those of the Wess Zumino Witten models with k = 2s. Thus these simple wavefunctions reproduce the spin correlations of the family of Hamiltonians obtained by the Algebraic Bethe Ansatz. |
| title | Spin-s wavefunctions with algebraic order |
| topic | Strongly Correlated Electrons Statistical Mechanics |
| url | https://arxiv.org/abs/cond-mat/0406534 |