Quantum phase transitions in matrix product systems

Details Quantum phase transitions in matrix product systems Quantum phase transitions in matrix product systems

2005-12-08

arxiv.org/abs/cond-mat/0512180v1

Phys. Rev. Lett. 97, 110403 (2006)

Physics

Condensed Matter

Statistical Mechanics

5 pages, 1 figure

Scientific paper

10.1103/PhysRevLett.97.110403

We investigate quantum phase transitions (QPTs) in spin chain systems characterized by local Hamiltonians with matrix product ground states. We show how to theoretically engineer such QPT points between states with predetermined properties. While some of the characteristics of these transitions are familiar, like the appearance of singularities in the thermodynamic limit, diverging correlation length, and vanishing energy gap, others differ from the standard paradigm: In particular, the ground state energy remains analytic, and the entanglement entropy of a half-chain stays finite. Examples demonstrate that these kinds of transitions can occur at the triple point of `conventional' QPTs.

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