Rounding by disorder of first-order quantum phase transitions: emergence of quantum critical points

Details Rounding by disorder of first-order quantum phase transitions: emergence of quantum critical points Rounding by disorder of first-order quantum phase transitions: emergence of quantum critical points

2007-08-21

arxiv.org/abs/0708.2917v2

Phys. Rev. Lett. 100, 015703 (2008)

Physics

Condensed Matter

Disordered Systems and Neural Networks

Title is modified as requested by the PRL editor, minor stylistic changes, typos corrected, and a few new references added. It

Scientific paper

10.1103/PhysRevLett.100.015703

We give a heuristic argument for disorder rounding of a first order quantum phase transition into a continuous phase transition. From both weak and strong disorder analysis of the the N-color quantum Ashkin-Teller model in one spatial dimension, we find that for $N \geq 3$, the first order transition is rounded to a continuous transition and the physical picture is the same as the random transverse field Ising model for a limited parameter regime. The results are strikingly different from the corresponding classical problem in two dimensions where the fate of the renormalization group flows is a fixed point corresponding to N-decoupled pure Ising models.

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