The superspin approach to a disordered quantum wire in the chiral-unitary symmetry class with an arbitrary number of channels

Details The superspin approach to a disordered quantum wire in the chiral-unitary symmetry class with an arbitrary number of channels The superspin approach to a disordered quantum wire in the chiral-unitary symmetry class with an arbitrary number of channels

2009-03-14

arxiv.org/abs/0903.2591v2

Nucl.Phys.B822:424-466,2009

Physics

Condensed Matter

Disordered Systems and Neural Networks

This is an expanded version of the published paper (50 pages, 1 figure)

Scientific paper

10.1016/j.nuclphysb.2009.06.032

We use a superspin Hamiltonian defined on an infinite-dimensional Fock space with positive definite scalar product to study localization and delocalization of noninteracting spinless quasiparticles in quasi-one-dimensional quantum wires perturbed by weak quenched disorder. Past works using this approach have considered a single chain. Here, we extend the formalism to treat a quasi-one-dimensional system: a quantum wire with an arbitrary number of channels coupled by random hopping amplitudes. The computations are carried out explicitly for the case of a chiral quasi-one-dimensional wire with broken time-reversal symmetry (chiral-unitary symmetry class). By treating the space direction along the chains as imaginary time, the effects of the disorder are encoded in the time evolution induced by a single site superspin (non-Hermitian) Hamiltonian. We obtain the density of states near the band center of an infinitely long quantum wire. Our results agree with those based on the Dorokhov-Mello-Pereyra-Kumar equation for the chiral-unitary symmetry class.

Affiliated with

Also associated with

No associations

Rating

The superspin approach to a disordered quantum wire in the chiral-unitary symmetry class with an arbitrary number of channels does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The superspin approach to a disordered quantum wire in the chiral-unitary symmetry class with an arbitrary number of channels, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The superspin approach to a disordered quantum wire in the chiral-unitary symmetry class with an arbitrary number of channels will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-165661