Spectral function of a quarter-filled one-dimensional CDW insulator

Abstract

We consider a one-dimensional charge density wave (CDW) insulator formed by Umklapp processes in a quarter-filled band. The spectrum of the model consists of gapless, uncharged excitations carrying spin $\pm 1/2$ (spinons) and gapped, spinless excitations carrying charge $\pm e/2$ (solitons and antisolitons). We calculate the low-energy behaviour of the single-electron Green's function at zero temperature. The spectral function exhibits a rather featureless scattering continuum of two solitons and many spinons. The theory predicts that the gap observed by Angle Resolved Photoemission (ARPES) is twice the activation gap in the dc conductivity. We comment on possible applications to $\mathrm{PrB}{\mathrm{a}}_2\mathrm{C}{\mathrm{u}}_3{\mathrm{O}}_7$ and to the Bechgaard salts.

4 pages, 3 figures, figures improved, references added

Cited by in corpus (16)

• Weakly coupled one-dimensional Mott insulators
• Finite Temperature Dynamical Correlations in Massive Integrable Quantum Field Theories
• Charge-density-wave instabilities driven by multiple umklapp scattering
• Excitation spectra and spin gap of the half-filled Holstein-Hubbard model
• Fractional charge excitations in fermionic ladders
• Interaction-range effects for fermions in one dimension
• Dynamic response functions and helical gaps in interacting Rashba nanowires with and without magnetic fields
• Dynamical density correlation function of 1D Mott insulators in a magnetic field
• Dynamical response functions in the quantum Ising chain with a boundary
• Tracking spin and charge with spectroscopy in spin-polarised 1D systems
• Predicting Excitonic Gaps of Semiconducting Single Walled Carbon Nanotubes From a Field Theoretic Analysis
• Phase transitions in the boson-fermion resonance model in one dimension
• Centipede ladder at quarter filling
• Local density of states of a quarter-filled one-dimensional Mott insulator with a boundary
• Observation of spin-charge separation and boundary bound states via the local density of states
• Electronic phases of low-dimensional conductors