Critical Exponents of the Metal-Insulator Transition in the Two-Dimensional Hubbard Model

Journal of the Physical Society of Japan

Volumn 65, Issue 7, 1996, Pages 2339-2340

  Furukawa, Nobuo ^a   Assaad, Fakher F ^b   Imada, Masatoshi ^a  

^a UNIVERSITY OF TOKYO   (Japan)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Hubbard model; Hyperscaling; Metal insulator transition; Quantum critical phenomena

Indexed keywords

EID: 0030487739     PISSN: 00319015     EISSN: None     Source Type: Journal    
DOI: 10.1143/JPSJ.65.2339     Document Type: Article

References (11)

1. M. Imada: J. Phys. Soc. Jpn. 64 (1995) 2954.
2. J. A. Hertz: Phys. Rev. B 14 (1976) 1165.
3. See, e.g., S.-K. Ma: Modern Theory of Critical Phenomena (Addison-Wesley, Reading, 1976), and also N. Goldenfeld: Lectures on Phase Transitions and the Renormalization Group (Addison-Wesley, Reading, 1992).
4. See, e.g., S.-K. Ma: Modern Theory of Critical Phenomena (Addison-Wesley, Reading, 1976), and also N. Goldenfeld: Lectures on Phase Transitions and the Renormalization Group (Addison-Wesley, Reading, 1992).
5. N. Furukawa and M. Imada: J. Phys. Soc. Jpn. 61 (1992) 3331.
6. N. Furukawa and M. Imada: J. Phys. Soc. Jpn. 62 (1993) 2557.
7. F. F. Assaad and M. Imada: J. Phys. Soc. Jpn. 65 (1996) 189.
8. F. F. Assaad and M. Imada: Phys. Rev. Lett. 76 (1996) 3176.
9. κ.
10. κ with our zero temperature calculation suggests that their calculation has been performed in the quantum critical regime near the transition point. Therefore, we consider that their result also indicates that ν = 1/4 and z = 4 at zero temperature.
11. See, e.g., M. A. Continentino: Phys. Rep. 239 (1994) 179.