Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2008-12-04
Phys. Rev. Lett. 102, 126405 (2009)
Physics
Condensed Matter
Strongly Correlated Electrons
final published version
Scientific paper
10.1103/PhysRevLett.102.126405
We consider zero temperature behavior of dynamic response functions of 1D systems near edges of support in momentum-energy plane $(k, \omega).$ The description of the singularities of dynamic response functions near an edge $\epsilon(k)$ 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 $\epsilon (k).$ This allows us to express the exponents which characterize singular response functions of spinless bosonic or fermionic liquids in terms of $\epsilon(k)$ 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.
Glazman Leonid I.
Imambekov Adilet
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