Title: Fermionic condensation
1Fermionic condensation
Dragos-Victor Anghel University of Oslo
- Related publications
- D. V. Anghel, Exclusion Statistics Transformation
and Ensemble Equivalence Tested From a Different
Perspective, submitted to J. Math. Phys.,
cond-mat/0310377. - D. V. Anghel, Condensation in ideal Fermi gases,
J. Phys. A Math. Gen. 36, L577-L583 (2003)
cond-mat/0310248. - D. V. Anghel, Gases in two dimensions universal
thermodynamics and its consequences, J. Phys. A
Math. Gen. 35, 7255-7267 (2002),
cond-mat/0105089.
2Outline
- Universal thermodynamics in 2D systems
- microscopic reason for the universality
- EST in 2D
- extension of EST to systems of general spectra
- condensation
- thermodynamic equivalence
- effects of condensation.
3Bosons and fermions
4Bosons and fermions
Robert M. May, Phys. Rev. 135, A1515 (1964)
5Intermediate statistics (FES)
F. D. M. Haldane, Phys. Rev. Lett. 67, 937 (1991)
6Reason for the universality
7Realization of FES
- M.V.N. Murthy and R. Shankar, Phys. Rev. Lett.
73, 3331 (1994) - T.H. Hansson, J.M. Leinaas, and S. Viefers, Nucl.
Phys. B 470, 291 (1996) - S.B. Isakov and S. Viefers, Int. J. Mod. Phys. A
12, 1895 (1997) - T.H. Hansson, J.M. Leinaas, and S. Viefers, Phys.
Rev. Lett. 86, 2930 (2001) - M.V.N. Murthy and R. Shankar, Phys. Rev. B 60,
6517 (1999) - Z.N.C. Ha, Phys. Rev. Lett. 73, 1574 (1994)
- D.V. Anghel, J. Phys. A Math. Gen. 35, (2002)
- D.V. Anghel, cond-mat/0310377.
8What happens if there is an interval with all the
energy levels occupied?
I calculate the partition function
its derivative
I get first order phase transition!
9Could we have a condensate in the ideal system?
- sgt0 always a condensate
- s0 the gas will condense
- slt0 the gas will condense ? first order phase
transition
10A proper way to account for the fermionic
condensation is by the Exclusion Statistics
Transformation
11General EST
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14What do we know about bosons and fermions?
15- But, if the fermionic condensation happens before
the first order phase transition
The order of the phase transition increases
16Conclusions
- I presented the basic idea of Exclusion
Statistics Transformation - I showed that the equivalent Bose system
condenses - the BEC is related to the fermionic condensation
- the idea of EST questions the ensemble
equivalence in Fermi systems - I gave examples of the effects of fermionic
condensation.