메뉴 건너뛰기




Volumn 143, Issue 2, 2011, Pages 326-345

A Generalized Plasma and Interpolation Between Classical Random Matrix Ensembles

Author keywords

Anomalous quantum Hall effect; Generalized plasma; Log gas; Pfaffian; Random matrix; Two point correlation

Indexed keywords


EID: 79955139497     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10955-011-0173-3     Document Type: Article
Times cited : (5)

References (18)
  • 1
    • 8744288940 scopus 로고    scopus 로고
    • Spin dynamics in the supersymmetric t-J model with inverse-square interaction
    • Arikawa, M., Yamamoto, T., Saiga, Y., Kuramoto, Y.: Spin dynamics in the supersymmetric t-J model with inverse-square interaction. J. Phys. Soc. Jpn. 73, 808-811 (2004).
    • (2004) J. Phys. Soc. Jpn. , vol.73 , pp. 808-811
    • Arikawa, M.1    Yamamoto, T.2    Saiga, Y.3    Kuramoto, Y.4
  • 2
    • 70350646561 scopus 로고    scopus 로고
    • The Ginibre ensemble of real random matrices and its scaling limit
    • Borodin, A., Sinclair, C. D.: The Ginibre ensemble of real random matrices and its scaling limit. Commun. Math. Phys. 291, 177-224 (2009).
    • (2009) Commun. Math. Phys. , vol.291 , pp. 177-224
    • Borodin, A.1    Sinclair, C.D.2
  • 3
    • 35549006412 scopus 로고
    • Statistical theory of energy levels of complex systems I
    • Dyson, F. J.: Statistical theory of energy levels of complex systems I. J. Math. Phys. 3, 140-156 (1962).
    • (1962) J. Math. Phys. , vol.3 , pp. 140-156
    • Dyson, F.J.1
  • 4
    • 0039430657 scopus 로고
    • Correlations between the eigenvalues of a random matrix
    • Dyson, F. J.: Correlations between the eigenvalues of a random matrix. Commun. Math. Phys. 19, 235-250 (1970).
    • (1970) Commun. Math. Phys. , vol.19 , pp. 235-250
    • Dyson, F.J.1
  • 5
    • 79955156220 scopus 로고
    • An exactly solvable two-component classical Coulomb system
    • Forrester, P. J.: An exactly solvable two-component classical Coulomb system. J. Aust. Math. Soc. Ser. B 26, 119-128 (1984).
    • (1984) J. Aust. Math. Soc. Ser. B , vol.26 , pp. 119-128
    • Forrester, P.J.1
  • 7
    • 0021441293 scopus 로고
    • Generalized plasmas and the anomalous quantum hall effect
    • Forrester, P. J., Jancovici, B.: Generalized plasmas and the anomalous quantum hall effect. J. Phys. Lett. 45, L583-L589 (1984).
    • (1984) J. Phys. Lett. , vol.45
    • Forrester, P.J.1    Jancovici, B.2
  • 9
    • 0002270591 scopus 로고
    • Theory of the quantized Hall conductance
    • Halperin, B. I.: Theory of the quantized Hall conductance. Helv. Phys. Acta 56, 75-102 (1983).
    • (1983) Helv. Phys. Acta , vol.56 , pp. 75-102
    • Halperin, B.I.1
  • 10
    • 33645021456 scopus 로고    scopus 로고
    • Generalizations of Cauchy's determinant and Schur's Pfaffian
    • Ishikawa, M., Okanda, S., Tagawa, H., Zeng, J.: Generalizations of Cauchy's determinant and Schur's Pfaffian. Adv. Appl. Math. 36, 251-287 (2006).
    • (2006) Adv. Appl. Math. , vol.36 , pp. 251-287
    • Ishikawa, M.1    Okanda, S.2    Tagawa, H.3    Zeng, J.4
  • 11
    • 0011501318 scopus 로고
    • An exactly solvable one-dimensional problem with several particle species
    • Krivnov, V. Y., Ovchinnikov, A. A.: An exactly solvable one-dimensional problem with several particle species. Theor. Math. Phys. 50, 100-103 (1982).
    • (1982) Theor. Math. Phys. , vol.50 , pp. 100-103
    • Krivnov, V.Y.1    Ovchinnikov, A.A.2
  • 13
    • 85204074990 scopus 로고    scopus 로고
    • PhD thesis, University of Melbourne, in preparation
    • Mays, A.: PhD thesis, University of Melbourne, in preparation.
    • Mays, A.1
  • 14
    • 0001651457 scopus 로고
    • A note on correlations between eigenvalues of random matrices
    • Mehta, M. L.: A note on correlations between eigenvalues of random matrices. Commun. Math. Phys. 20, 245-250 (1971).
    • (1971) Commun. Math. Phys. , vol.20 , pp. 245-250
    • Mehta, M.L.1
  • 15
    • 36849131851 scopus 로고
    • Statistical theory of the energy levels of complex systems. V
    • Mehta, M. L., Dyson, F. J.: Statistical theory of the energy levels of complex systems. V. J. Math. Phys. 4, 713-719 (1963).
    • (1963) J. Math. Phys. , vol.4 , pp. 713-719
    • Mehta, M.L.1    Dyson, F.J.2
  • 18
    • 0000612877 scopus 로고
    • Quantum many-body problem in one dimension
    • Sutherland, B.: Quantum many-body problem in one dimension. J. Math. Phys. 12, 246-250 (1971).
    • (1971) J. Math. Phys. , vol.12 , pp. 246-250
    • Sutherland, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.