Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2008-03-13
Nucl.Phys.B811:463-490,2009
Physics
Condensed Matter
Statistical Mechanics
34 pages, 26 pictures
Scientific paper
10.1016/j.nuclphysb.2008.11.027
In this note, we discuss the quantum version of the melting crystal corner in one, two, and three dimensions, generalizing the treatment for the quantum dimer model. Using a mapping to spin chains we find that the two--dimensional case (growth of random partitions) is integrable and leads directly to the Hamiltonian of the Heisenberg XXZ ferromagnet. The three--dimensional case of the melting crystal corner is described in terms of a system of coupled XXZ spin chains. We give a conjecture for its mass gap and analyze the system numerically.
Dijkgraaf Robbert
Orlando Domenico
Reffert Susanne
No associations
LandOfFree
Quantum Crystals and Spin Chains 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 Quantum Crystals and Spin Chains, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum Crystals and Spin Chains will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-69800