Deconfinement phase transition in a two-dimensional model of interacting $2\times 2$ plaquettes

Details Deconfinement phase transition in a two-dimensional model of interacting $2\times 2$ plaquettes Deconfinement phase transition in a two-dimensional model of interacting $2\times 2$ plaquettes

2008-11-04

arxiv.org/abs/0811.0530v3

Eur. Phys. J. B 72, 559-565 (2009)

Physics

Condensed Matter

Strongly Correlated Electrons

7 pages, 11 figures, RevTex, corrected typos

Scientific paper

10.1140/epjb/e2009-00389-6

A two-dimensional model of interacting plaquettes is studied by means of the real space renormalization group approach. Interactions between the plaquettes are mediated solely by spin excitations on the plaquettes. Depending on the plaquette-plaquette coupling $J$, we find two regimes: "confinement" $J_c< J\leq 1$, where the singlet ground state forms an infinite ("confined") cluster in the thermodynamical limit. Here the singlet-triplet gap vanishes, which is the signature for long range spin-spin correlators. "deconfinement" $0\leq J< J_c$, where the singlet ground state "deconfines" - i.e. factorizes - into finite $n$-clusters of size $2^n\times 2^n$, with $n\leq n_c(J)$. Here the singlet-triplet gap is finite. The critical value turns out to be $J_c=0.473528..$.

Affiliated with

Also associated with

No associations

Rating

Deconfinement phase transition in a two-dimensional model of interacting $2\times 2$ plaquettes 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 Deconfinement phase transition in a two-dimensional model of interacting $2\times 2$ plaquettes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Deconfinement phase transition in a two-dimensional model of interacting $2\times 2$ plaquettes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-184386