Fermionic behavior of ideal anyons

Abstract

We prove upper and lower bounds on the ground-state energy of the ideal two-dimensional anyon gas. Our bounds are extensive in the particle number, as for fermions, and linear in the statistics parameter $\alpha$. The lower bounds extend to Lieb-Thirring inequalities for all anyons except bosons.

16 pages

References in corpus (6)

• Non-Abelian Anyons and Topological Quantum Computation
• Anyons and the quantum Hall effect - a pedagogical review
• Emergence of fractional statistics for tracer particles in a Laughlin liquid
• Many-anyon trial states
• Exclusion bounds for extended anyons
• Local density approximation for the almost-bosonic anyon gas

Cited by in corpus (8)

• A Quantum Impurity Model for Anyons
• Magnetic Perturbations of Anyonic and Aharonov-Bohm Schrödinger Operators
• Semiclassical limit for almost fermionic anyons
• Properties of 2D anyon gas
• A Lieb-Thirring inequality for extended anyons
• The Lieb-Thirring inequality for interacting systems in strong-coupling limit
• The six blinds and the elephant or an interdisciplinary selection of measurement features
• 2D magnetic stability