Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2008-01-28
J. Phys. A: Math. Theor. 41 (2008) 145006
Physics
Condensed Matter
Statistical Mechanics
13 pages, RevTeX 4
Scientific paper
10.1088/1751-8113/41/14/145006
We have obtained an expansion of the reduced density matrices (or, equivalently, correlation functions of the fields) of impenetrable one-dimensional anyons in terms of the reduced density matrices of fermions using the mapping between anyon and fermion wavefunctions. This is the generalization to anyonic statistics of the result obtained by A. Lenard for bosons. In the case of impenetrable but otherwise free anyons with statistical parameter $\kappa$, the anyonic reduced density matrices in the grand canonical ensemble is expressed as Fredholm minors of the integral operator ($1-\gamma \hat \theta_T$) with complex statistics-dependent coefficient $\gamma=(1+e^{\pm i\pi\kappa})/ \pi$. For $\kappa=0$ we recover the bosonic case of Lenard $\gamma=2/\pi$. Due to nonconservation of parity, the anyonic field correlators $\la \fad(x')\fa(x)\ra$ are different depending on the sign of $x'-x$.
Averin Dmitri V.
Korepin Vladimir E.
Patu Ovidiu I.
No associations
LandOfFree
One-Dimensional Impenetrable Anyons in Thermal Equilibrium. I. Anyonic Generalization of Lenard's Formula does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with One-Dimensional Impenetrable Anyons in Thermal Equilibrium. I. Anyonic Generalization of Lenard's Formula, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and One-Dimensional Impenetrable Anyons in Thermal Equilibrium. I. Anyonic Generalization of Lenard's Formula will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-185122