Local perturbation in a Tomonaga-Luttinger liquid at g=1/2: Orthogonality catastrophe, Fermi-edge singularity, and local density of states

Article

关键词: DIMENSIONAL ELECTRON-GAS;    2-CHANNEL KONDO PROBLEM;    SINGLE-BARRIER;    POINT CONTACTS;    QUANTUM WIRES;    MODEL;    TRANSPORT;    BACKSCATTERING;    TRANSMISSION;    IMPURITY;   

DOI  :  10.1103/PhysRevB.56.9352

来源: SCIE

【 摘 要 】

The orthogonality catastrophe in a Tomonaga-Luttinger liquid with an impurity is reexamined for the case when the interaction parameter or the dimensionless conductance is g = 1/2. By transforming bosons back to fermions, the Hamiltonian is reduced to a quadratic form, which allows for explicit calculation of the overlap integral and the local density of states at the defect site. The exponent of the orthogonality catastrophe due to a backward scattering center is found to be 1/8, in agreement with previous studies using different approaches. The time dependence of the core-hole Green's function is computed numerically, which shows a clear crossover from a nonuniversal short-time behavior to a universal long-time behavior. The local density of states vanishes linearly in the low-energy limit at g = 1/2.

【 授权许可】

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