Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1998-07-10
J. Phys. A 32 (1999) 191-233
Physics
Condensed Matter
Statistical Mechanics
56 pages, LaTeX, some minor corrections
Scientific paper
10.1088/0305-4470/32/2/001
This is the first of three papers dealing with the XX finite quantum chain with arbitrary, not necessarily hermitian, boundary terms. This extends previous work where the periodic or diagonal boundary terms were considered. In order to find the spectrum and wave-functions an auxiliary quantum chain is examined which is quadratic in fermionic creation and annihilation operators and hence diagonalizable. The secular equation is in general complicated but several cases were found when it can be solved analytically. For these cases the ground-state energies are given. The appearance of boundary states is also discussed and in view to the applications considered in the next papers, the one and two-point functions are expressed in terms of Pfaffians.
Bilstein Ulrich
Wehefritz Birgit
No associations
LandOfFree
The XX--model with boundaries. Part I: Diagonalization of the finite chain 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 The XX--model with boundaries. Part I: Diagonalization of the finite chain, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The XX--model with boundaries. Part I: Diagonalization of the finite chain will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-492732