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• W1569643501 endingPage "9359" @default.
• W1569643501 startingPage "9352" @default.
• W1569643501 abstract "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 $g=1/2.$" @default.
• W1569643501 created "2016-06-24" @default.
• W1569643501 creator A5059607909 @default.
• W1569643501 date "1997-10-15" @default.
• W1569643501 modified "2023-09-27" @default.
• W1569643501 title "Local perturbation in a Tomonaga-Luttinger liquid at<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>g</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn><mml:mo>:</mml:mo></mml:math>Orthogonality catastrophe, Fermi-edge singularity, and local density of states" @default.
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• W1569643501 doi "https://doi.org/10.1103/physrevb.56.9352" @default.
• W1569643501 hasPublicationYear "1997" @default.
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