Exact Solution of a 2D Interacting Fermion Model
2012 (English)In: Communications in Mathematical Physics, ISSN 0010-3616, E-ISSN 1432-0916, Vol. 314, no 1, 1-56 p.Article in journal (Refereed) Published
We study an exactly solvable quantum field theory (QFT) model describing interacting fermions in 2+1 dimensions. This model is motivated by physical arguments suggesting that it provides an effective description of spinless fermions on a square lattice with local hopping and density-density interactions if, close to half filling, the system develops a partial energy gap. The necessary regularization of the QFT model is based on this proposed relation to lattice fermions. We use bosonization methods to diagonalize the Hamiltonian and to compute all correlation functions. We also discuss how, after appropriate multiplicative renormalizations, all short- and long distance cutoffs can be removed. In particular, we prove that the renormalized two-point functions have algebraic decay with non-trivial exponents depending on the interaction strengths, which is a hallmark of Luttinger-liquid behavior.
Place, publisher, year, edition, pages
2012. Vol. 314, no 1, 1-56 p.
Coupled Luttinger Liquids, Arbitrary Dimension, Field Theory, Surface, Bosonization, Renormalization, Behavior, Particle, System, Gas
Other Physics Topics
IdentifiersURN: urn:nbn:se:kth:diva-50581DOI: 10.1007/s00220-012-1518-8ISI: 000307271600001ScopusID: 2-s2.0-84863311171OAI: oai:DiVA.org:kth-50581DiVA: diva2:462213
FunderSwedish Research Council
QC 20120910. Updated from submitted to published.2011-12-062011-12-062012-09-10Bibliographically approved