Local Exclusion and Lieb-Thirring Inequalities for Intermediate and Fractional Statistics
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A local exclusion principle is observed for identical particles obeying intermediate/fractional exchange statistics in one and two dimensions, leading to bounds for the kinetic energy in terms of the density. This has implications for models of Lieb-Liniger and Calogero-Sutherland type, and implies a non-trivial lower bound for the energy of the anyon gas whenever the statistics parameter is an odd numerator fraction. We discuss whether this is actually a necessary requirement.
Original language | English |
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Journal | Annales Henri Poincare |
Volume | 15 |
Issue number | 6 |
Pages (from-to) | 1061-1107 |
ISSN | 1424-0637 |
DOIs | |
Publication status | Published - Jun 2014 |
Links
- http://arxiv.org/pdf/1301.3436v2
Accepted author manuscript
ID: 130534023