Sharp fractional charges in Luttinger liquids
2009 (English)In: Physical Review B. Condensed Matter and Materials Physics, ISSN 1098-0121, E-ISSN 1550-235X, Vol. 80, no 11, 115327- p.Article in journal (Refereed) Published
We examine charge fractionalization by chiral separation in a one-dimensional fermion system described by Luttinger liquid theory. The focus is on the question of whether the fractional charges are quantum-mechanically sharp, and in the analysis we make a distinction between the global charge, which is restricted by boundary conditions, and the local charge where a background contribution is subtracted. We show, by way of examples, that fractional charges of arbitrary values, all which are quantum-mechanically sharp, can be introduced by different initial conditions. Since the system is gapless, excitations of arbitrary low frequency contribute to the fluctuations, it is important to make a precise definition of sharp charges, and this we we do by subtraction of the ground-state contribution. We very briefly comment on the relevance of our analysis for proposed experiments.
Place, publisher, year, edition, pages
2009. Vol. 80, no 11, 115327- p.
fermi gas, quantum, statistics, solitons, model, excitations, field
IdentifiersURN: urn:nbn:se:su:diva-59667DOI: 10.1103/PhysRevB.80.115327ISI: 000270383200102OAI: oai:DiVA.org:su-59667DiVA: diva2:432135
authorCount :32011-08-012011-07-052012-01-15Bibliographically approved