Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2006-12-06
Phys. Rev. B 74, 245123 (2006)
Physics
Condensed Matter
Strongly Correlated Electrons
12 pages, 0 figure, revtex 4
Scientific paper
10.1103/PhysRevB.74.245123
It is shown that for some special values of Hamiltonian parameters the Tomonaga-Luttinger model with nonlinear dispersion is unitary equivalent to the system of noninteracting fermions. For such parameter values the density-density propagator of the Tomonaga-Luttinger Hamiltonian with nonlinear dispersion can be found exactly. In a generic situation the exact solution can be used as a reference point around which a perturbative expansion in orders of certain irrelevant operators may be constructed.
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