Journal article icon

Journal article

The two-dimensional random-bond Ising model, free fermions and the network model

Abstract:

We develop a recently-proposed mapping of the two-dimensional Ising model with random exchange (RBIM), via the transfer matrix, to a network model for a disordered system of non-interacting fermions. The RBIM transforms in this way to a localisation problem belonging to one of a set of non-standard symmetry classes, known as class D; the transition between paramagnet and ferromagnet is equivalent to a delocalisation transition between an insulator and a quantum Hall conductor. We establish th...

Expand abstract
Publication status:
Published

Actions


Access Document


Publisher copy:
10.1103/PhysRevB.65.054425

Authors


More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Theoretical Physics
Role:
Author
Journal:
Phys. Rev. B More from this journal
Volume:
65
Issue:
5
Pages:
054425
Publication date:
2001-06-01
DOI:
EISSN:
1095-3795
ISSN:
1098-0121
Keywords:
Pubs id:
pubs:14464
UUID:
uuid:a8768f4d-a65e-4f9e-ab7f-c10c851b1f79
Local pid:
pubs:14464
Source identifiers:
14464
Deposit date:
2012-12-19

Terms of use


Views and Downloads






If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP