publication . Preprint . 2004

What is between Fermi-Dirac and Bose-Einstein Statistics?

Byczuk, Krzysztof; Spalek, Jozef; Joyce, Geoffrey; Sarkar, Sarben;
Open Access English
  • Published: 30 Mar 2004
We overwiev the properties of a quantum gas of particles with the intermediate statistics defined by Haldane. Although this statistics has no direct connection to the symmetry of the multiparticle wave function, the statistical distribution function interpolates continuously between the Fermi-Dirac and the Bose-Einstein limits. We present an explicit solution of the transcendental equation for the didtribution function in a general case, as well as determine the thermodynamic properties in both low- and high-temperature limits.
arXiv: Condensed Matter::Quantum Gases
free text keywords: Condensed Matter - Strongly Correlated Electrons, Condensed Matter - Statistical Mechanics
Download from

[1] K.Huang, ”Statistical mechanics”, (John Wiley and sons, 1963).

[2] J.Leinnas, J.Myrheim, Nuovo Cimento B 37, 1 (1977).

[3] F.D.M.Haldane, Phys.Rev.Lett. 67, 937 (1991).

[4] J.Spalek, W.Wojcik, Phys.Rev. B 37, 1532 (1988), K.Byczuk, J.Spalek, Phys.Rev. B 50, 11 403 (1994).

[5] D.Bernard, Y.S.Wu, in ”Proc. of the 6th Nakai Workshop”, ed. M.L.Ge et al, (World Scientific, 1995).

[6] R.Acharya, P. Narayana Swamy, J.Phys. A 27, 7247 (1994).

[7] K.Byczuk, J.Spalek, unpublished work (1994).

[8] Y.S.Wu, Phys.Rev.Lett. 73, 922 (1994).

[9] This statistics was introduced by G.Gentile (1940), but reproduced by many authors afterwards.

[10] G.S.Joyce, S.Sarkar, J.Spalek, K.Byczuk, Phys.Rev. B 53 (in press) (1996).

[11] C.Nayak, F.Wilczek, Phys.Rev.Lett. 73, 2740 (1994).

[12] M.D.Johnson, G.S.Canright, Phys.Rev. B 49, 2947 (1994).

Fig.1. Schematic phase diagram for γ-ons. Fig.2. Schematic phase diagram for p-ons. Fig.3. Schematic phase diagram for p-ons.

Powered by OpenAIRE Open Research Graph
Any information missing or wrong?Report an Issue