Communication : spin-boson model with diagonal and off-diagonal coupling to two independent baths : ground-state phase transition in the deep sub-Ohmic regime

We investigate a spin-boson model with two boson baths that are coupled to two perpendicular components of the spin by employing the density matrix renormalization group method with an optimized boson basis. It is revealed that in the deep sub-Ohmic regime there exists a novel second-order phase tra...

Full description

Bibliographic Details
Main Authors: Yao, Yao, Chernyak, Vladimir, Zhao, Yang
Other Authors: School of Materials Science & Engineering
Format: Journal Article
Language:English
Published: 2014
Subjects:
Online Access:https://hdl.handle.net/10356/97680
http://hdl.handle.net/10220/19601
Description
Summary:We investigate a spin-boson model with two boson baths that are coupled to two perpendicular components of the spin by employing the density matrix renormalization group method with an optimized boson basis. It is revealed that in the deep sub-Ohmic regime there exists a novel second-order phase transition between two types of doubly degenerate states, which is reduced to one of the usual types for nonzero tunneling. In addition, it is found that expectation values of the spin components display jumps at the phase boundary in the absence of bias and tunneling.