Critical exponents of flux-equilibrium phase transitions in fermionic lattice models

Details Critical exponents of flux-equilibrium phase transitions in fermionic lattice models Critical exponents of flux-equilibrium phase transitions in fermionic lattice models

2011-08-10

arxiv.org/abs/1108.2263v3

Physics

Quantum Physics

5 pages, 2 figures

Scientific paper

We discuss reservoir induced phase transitions in fermionic lattice models coupled to local reservoirs in a flux equilibrium state. These systems may become critical in the sense of a diverging correlation length upon changing the reservoir coupling. We here show that the transition to a critical state is associated with a vanishing gap in the real part of the eigenvalues of the Liovillian. Furthermore we derive the corresponding static and dynamical critical exponents and show that their possible values, defining classes of flux-equilibrium phase transitions are determined by the coupling range of the independent local reservoirs. If a reservoir couples to N neighboring lattice sites, the critical exponent can assume all fractions from 1 to 1/(N - 1).

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