Quantum transport in d-dimensional lattices
Name
Cao_Quantum transport.pdf
Size
1.12 MB
Format
Adobe PDF
Checksum (MD5)
da7168d1560d7820215c90c5e161f426
Author(s)
Manzano Diosdado, Daniel
Chuang, Chern
Cao, Jianshu
Date Issued
April 2016
Journal
New Journal of Physics
Publisher
Institute of Physics Publishing (IOP)
Citation
Manzano, Daniel, Chern Chuang, and Jianshu Cao. “Quantum Transport In d-Dimensional Lattices.” New J. Phys. 18, no. 4 (April 28, 2016): 043044.
Version
Final published version
Abstract
We show that both fermionic and bosonic uniform d-dimensional lattices can be reduced to a set of independent one-dimensional chains. This reduction leads to the expression for ballistic energy fluxes in uniform fermionic and bosonic lattices. By the use of the Jordan–Wigner transformation we can extend our analysis to spin lattices, proving the coexistence of both ballistic and non-ballistic subspaces in any dimension and for any system size. We then relate the nature of transport to the number of excitations in the homogeneous spin lattice, indicating that a single excitation always propagates ballistically and that the non-ballistic behaviour of uniform spin lattices is a consequence of the interaction between different excitations.
MIT Department
Massachusetts Institute of Technology. Department of Chemistry
Terms of Use
Creative Commons Attribution
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1088/1367-2630/18/4/043044
