Phase Transitions Between Topologically Distinct Gapped Phases in Isotropic Spin Ladders

Details Phase Transitions Between Topologically Distinct Gapped Phases in Isotropic Spin Ladders Phase Transitions Between Topologically Distinct Gapped Phases in Isotropic Spin Ladders

1999-10-04

arxiv.org/abs/cond-mat/9910023v1

Physics

Condensed Matter

Strongly Correlated Electrons

11 pages, 16 postscript figures

Scientific paper

10.1103/PhysRevB.62.14965

We consider various two-leg ladder models exhibiting gapped phases. All of these phases have short-ranged valence bond ground states, and they all exhibit string order. However, we show that short-ranged valence bond ground states divide into two topologically distinct classes, and as a consequence, there exist two topologically distinct types of string order. Therefore, not all gapped phases belong to the same universality class. We show that phase transitions occur when we interpolate between models belonging to different topological classes, and we study the nature of these transitions.

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