Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
1998-02-13
Physics
Condensed Matter
Strongly Correlated Electrons
REVTEX file, 16 pages, 12 figures, 6 Tables
Scientific paper
10.1088/0305-4470/31/48/009
We present a manifestly rotational invariant formulation of the matrix product method valid for spin chains and ladders. We apply it to 2 legged spin ladders with spins 1/2, 1 and 3/2 and different magnetic structures labelled by the exchange coupling constants, which can be ferromagnetic or antiferromagnetic along the legs and the rungs of the ladder We compute ground state energy densities, correlation lengths and string order parameters. We present numerical evidence of the duality properties of the 3 different non ferromagnetic spin 1/2 ladders. We show that the long range topological order characteristic of isolated spin 1 chains is broken by the interchain coupling. The string order correlation function decays exponentially with a finite correlation length that we compute. A physical picture of the spin 1 ladder is given in terms of a collection of resonating spin 1 chains. Finally for ladders with spin equal or greater than 3/2 we define a class of AKLT states whose matrix product coefficients are given by 9-j symbols.
Dukelsky Jorge
Martin-Delgado Miguel Angel
Roman Jose Maria
Sierra German
No associations
LandOfFree
The Matrix Product Approach to Quantum Spin Ladders 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 Matrix Product Approach to Quantum Spin Ladders, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Matrix Product Approach to Quantum Spin Ladders will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-535791