Flow diagram for impurity scattering in Tomonaga–Luttinger liquids

Taejin Lee

Kenji Kamide, Yuji Tsukada, Susumu Kurihara

Yuval Oreg, Alexander M. Finkel'stein

The problem of a single impurity in a one-dimensional Tomonaga—Luttinger liquid with a repulsive electron-electron interaction is discussed. We find that the renormalization group flow diagram for the parameters characterizing the impurity is rather complex. Apart from the fixed points corresponding to two weakly connected semi-infinite wires, the flow diagram contains additional fixed points which control the low-temperature physics when the bare potential of the impurity is not strong.

Victoria Fernández, Kang Li B, Carlos Naón

Alexander M. Finkel'Stein Yuval Oreg

The problem of a single impurity in one dimensional Tomonaga -Luttinger liquids with a repulsive electron-electron interaction is discussed.We find that the renormalization group flow diagram for the parameters characterizing the impurity is rather complex.Apart from the fixed points corresponding to two weakly connected semi-infinite wires, the flow diagram contains additional fixed points which control the low temperature physics when the bare potential of the impurity is not strong.

Joy Prakash Das, Girish S. Setlur