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Superconductivity as a Kosterlitz–Thouless transition in the two-dimensional Hubbard model |
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| Authors: | T. Yanagisawa I. Hase |
| Affiliation: | aNanoelectronics Research Institute, National Institute of Advanced Industrial Science and technology (AIST), Central 2, 1-1-1 Umezono, Tsukuba 305-8568, Japan;bCREST, Japan Science and Technology Agency (JST), Kawaguchi, Saitama 332-0012, Japan |
| Abstract: | We investigate a superconducting Kosterlitz–Thouless transition in the two-dimensional (2D) Hubbard model using auxiliary quantum Monte Carlo method for the ground state. The pair susceptibility is computed for both the attractive and repulsive Hubbard model. The numerical results show that the s-wave pair susceptibility scales as χ  L2 for the attractive case, in agreement with previous quantum Monte Carlo studies. The scaling χ L2 also holds for the d-wave pair susceptibility for the repulsive Hubbard model if we adjust the band parameter t′. |
| Keywords: | Two-dimensional Hubbard model Quantum Monte Carlo method Superconductivity Cuprate superconductor Kosterlitz– Thouless transition |
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