Stability and anyonic behavior of systems with M-statistics

Abstract

Starting with the partition function $Z$ for systems with $M$-statistics, as proposed in \cite{WND}, we calculate from the metric $g_{\alpha \eta }=\frac{\partial \ln Z}{\partial {\beta }^{\alpha }{\beta }^{\eta }}$ the scalar curvature $R$ in two and three dimensions. Our results exhibit the details of the anyonic behavior as a function of the fugacity $z$ and the identical particle maximum occupancy number $M$. We also compare the stability of systems for $M>1$with the fermionic (M=1), and bosonic ($M\to \infty$), cases.

8 pages, 5 figures

References in corpus (7)

• Exact solution for mean first-passage time on a pseudofractal scale-free web
• Thermodynamic Geometry of Deformed Bosons and Fermions
• Thermodynamic Geometry of Fractional Statistics
• Ruppeiner Geometry of Anyon Gas
• Nonperturbative Thermodynamic Geometry of Anyon Gas
• Scalar curvature of systems with fractal distribution functions
• Geometry of Quantum Group invariant systems

Cited by in corpus (6)

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• Anyonic quantum multipartite maskers in the Kitaev model