Structural Evolution of 1D Spectral Function from Low- to High-Energy Limits

Abstract

By exactly analyzing the spin-1/2 Luttinger liquid (LL) and numerically solving a model of a mobile impurity electron in the LL, we obtain the one-electron spectral function $A(p,\omega )$ in a one-dimensional (1D) metal in an entire range of $p$ at zero temperature. For $|p|$ near the Fermi point $p_{\mathrm{F}}$, $A(p,\omega )$ is featured by two prominent peaks of spinon and (anti)holon representing spin-charge separation, but we also find an additional cusp structure between them. For $|p|\gg p_{\mathrm{F}}$, this structure evolves as a main peak in $A(p,\omega )$ by swallowing the antiholon mode and its dispersion relation approaches the one of a free electron, implying the existence of an electron excitation in the whole region, but not quite a quasiparticle in the Fermi liquid due to ever existing power-law decay of the excitation.

5 pages, 3 figures

References in corpus (6)

• One-Dimensional Quantum Liquids: Beyond the Luttinger Liquid Paradigm
• Universal theory of nonlinear Luttinger liquids
• Probing spin-charge separation in a Tomonaga-Luttinger liquid
• Phenomenology of One-Dimensional Quantum Liquids Beyond the Low-Energy Limit
• Spectral function of spinless fermions on a one-dimensional lattice
• Spin-charge separation in one-dimensional fermion systems beyond the Luttinger liquid theory

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• Role of the Ward Identity and Relevance of the G0W0 Approximation in Normal and Superconducting States
• Low-energy peak in the one-particle spectral function of the electron gas at metallic densities
• From Luttinger liquids to Luttinger droplets via higher-order bosonization identities