Phenomenology of One-Dimensional Quantum Liquids Beyond the Low-Energy Limit

dc.creatorImambekov, Adilet
dc.creatorGlazman, Leonid I.
dc.date2008-12-04
dc.date2009-03-27
dc.date.accessioned2026-07-07T12:56:49Z
dc.date.available2026-07-07T12:56:49Z
dc.descriptionWe consider zero temperature behavior of dynamic response functions of 1D systems near edges of support in momentum-energy plane $(k, ω).$ The description of the singularities of dynamic response functions near an edge $ε(k)$ is given by the effective Hamiltonian of a mobile impurity moving in a Luttinger liquid. For Galilean-invariant systems, we relate the parameters of such an effective Hamiltonian to the properties of the function $ε(k).$ This allows us to express the exponents which characterize singular response functions of spinless bosonic or fermionic liquids in terms of $ε(k)$ and Luttinger liquid parameters for any $k.$ For an antiferromagnetic Heisenberg spin-1/2 chain in a zero magnetic field, SU(2) invariance fixes the exponents from purely phenomenological considerations.
dc.descriptionfinal published version
dc.identifierhttps://arxiv.org/abs/0812.1046
dc.identifierhttp://arxiv.org/abs/0812.1046
dc.identifierPhys. Rev. Lett. 102, 126405 (2009)
dc.identifierdoi:10.1103/PhysRevLett.102.126405
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/224717
dc.subjectStrongly Correlated Electrons
dc.titlePhenomenology of One-Dimensional Quantum Liquids Beyond the Low-Energy Limit
dc.typetext

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