The critical behaviour of the 2D Ising model in Transverse Field; a Density Matrix Renormalization calculation

Details The critical behaviour of the 2D Ising model in Transverse Field; a Density Matrix Renormalization calculation The critical behaviour of the 2D Ising model in Transverse Field; a Density Matrix Renormalization calculation

1997-09-09

arxiv.org/abs/cond-mat/9709103v1

Physics

Condensed Matter

Statistical Mechanics

9 pages, 8 figures

Scientific paper

10.1103/PhysRevB.57.8494

We have adjusted the Density Matrix Renormalization method to handle two dimensional systems of limited width. The key ingredient for this extension is the incorporation of symmetries in the method. The advantage of our approach is that we can force certain symmetry properties to the resulting ground state wave function. Combining the results obtained for system sizes up-to $30 \times 6$ and finite size scaling, we derive the phase transition point and the critical exponent for the gap in the Ising model in a Transverse Field on a two dimensional square lattice.

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