Fractional statistical potential in graphene

J. S. ARDENGHI

PHYSICA B - CONDENSED MATTER

ELSEVIER SCIENCE BV

Lugar: Amsterdam; Año: 2016 vol. 508 p. 51 - 55

0921-4526

In this work the fractional statistics is applied to an anyon gas in graphene toobtain the special features that the arbitrary phase interchange of the particlecoordinates introduce in the thermodynamic properties. The electron gas isconstituted by N anyons in the long wavelength approximation obeying fractionalexclusion statistics and the partition function is analyzed in terms of a perturbation expansion up to first order in the dimensionless constant λ/L beingL the length of the graphene sheet and λ = βhvF the thermal wavelength. Byconsidering the correct permutation expansion of the many-anyons wavefunction,taking into account that the phase changes with the number of inversions in eachpermutation, the statistical fermionic/bosonic potential is obtained and theintermediate statistical behavior is found. It is shown that ?extra? fermonicand bosonic particles states appears and this ?statistical particle?distribution depends on N. Entropy and specific heat is obtained up to firstorder in λ/L showing that the results obtained differs from those obtained indifferent approximation to the fractional exclusion statistics.