Journal
PHYSICAL REVIEW B
Volume 86, Issue 15, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.86.155445
Keywords
-
Funding
- US NSF [DMS-1066045, DMR-1056168]
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [1066045] Funding Source: National Science Foundation
- Division Of Materials Research
- Direct For Mathematical & Physical Scien [1056168] Funding Source: National Science Foundation
Ask authors/readers for more resources
The noncommutative theory of charge transport in mesoscopic aperiodic systems under magnetic fields, developed by Bellissard, Shulz-Baldes and collaborators in the 90's, is complemented with a practical numerical implementation. The scheme, which is developed within a C*-algebraic framework, enables efficient evaluations of the finite-temperature noncommutative Kubo formula, with errors that vanish exponentially fast in the thermodynamic limit. Applications to a model of a two-dimensional quantum spin-Hall insulator are given. The conductivity tensor is mapped as a function of Fermi level, disorder strength, and temperature, and the phase diagram in the plane of Fermi level and disorder strength is quantitatively derived from the transport simulations. Simulations at finite magnetic field strength are also presented.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available