Fractional exclusion statistics and the universal quantum of thermal conductance: A unifying approach

LGC Rego, G Kirczenow - Physical Review B, 1999‏ - APS
We introduce a generalized approach to one-dimensional (1D) conduction based on
Haldane's [Phys. Rev. Lett. 67, 937 (1991)] concept of fractional exclusion statistics (FES) …

Probabilities and path-integral realization of exclusion statistics

AP Polychronakos - Physics Letters B, 1996‏ - Elsevier
A microscopic formulation of Haldane's exclusions statistics is given in terms of a priori
occupation probabilities of states. It is shown that negative probabilities are always …

Nonperturbative thermodynamic geometry of anyon gas

B Mirza, H Mohammadzadeh - Physical Review E—Statistical, Nonlinear, and …, 2009‏ - APS
Following our earlier work on the Ruppeiner geometry of an anyon gas [B. Mirza and H.
Mohammadzadeh, Phys. Rev. E 78, 021127 (2008)], we will derive nonperturbative …

Thermodynamic geometry of fractional statistics

B Mirza, H Mohammadzadeh - Physical Review E—Statistical, Nonlinear, and …, 2010‏ - APS
We extend our earlier study about the fractional exclusion statistics to higher dimensions in
full physical range and in the nonrelativistic and ultrarelativistic limits. Also, two other …

Imaging anyons with scanning tunneling microscopy

Z Papić, RSK Mong, A Yazdani, MP Zaletel - Physical Review X, 2018‏ - APS
Anyons are exotic quasiparticles with fractional charge that can emerge as fundamental
excitations of strongly interacting topological quantum phases of matter. Unlike ordinary …

Thermodynamics of statistical anyons

NM Myers, S Deffner - PRX Quantum, 2021‏ - APS
In low-dimensional systems, indistinguishable particles can display statistics that interpolate
between bosons and fermions. Signatures of these “anyons” have been detected in two …

[ספר][B] Dynamics of one-dimensional quantum systems: inverse-square interaction models

Y Kuramoto, Y Kato - 2009‏ - books.google.com
One-dimensional quantum systems show fascinating properties beyond the scope of the
mean-field approximation. However, the complicated mathematics involved is a high barrier …

The effect of interactions on Bose-Einstein condensationin a quasi two-dimensional harmonic trap

RK Bhaduri, SM Reimann, S Viefers… - Journal of Physics B …, 2000‏ - iopscience.iop.org
A dilute bose gas in a quasi two-dimensional harmonic trap and interacting with a repulsive
two-body zero-range potential of fixed coupling constant is considered. Using the Thomas …

Anyons

J Myrheim - Aspects topologiques de la physique en basse …, 2002‏ - Springer
Fractional statistics of identical particles is a theoretical possibility both in one and two
dimensions. Two-dimensional particles of this kind are called anyons. The most important …

Von Neumann entropy associated with the haldane exclusion statistics

AK Rajagopal - Physical review letters, 1995‏ - APS
We obtain the von Neumann entropy per state of the Haldane exclusion statistics with
parameter g in terms of the mean occupation number n as SH=− n {w ln w−(1+ w) ln (1+ w)} …