Interaction-range effects for fermions in one dimension

Abstract

Experiments on quasi-one-dimensional systems such as quantum wires and metallic chains on surfaces suggest the existence of electron-electron interactions of substantial range and hence physics beyond the Hubbard model. We therefore investigate one-dimensional, quarter-filled chains with a Coulomb potential with variable screening length by quantum Monte Carlo methods and exact diagonalization. The Luttinger liquid interaction parameter K_rho decreases with increasing interaction strength and range. Experimentally observed values close to 1/4 require strong interactions and/or large screening lengths. As predicted by bosonization, we find a metal-insulator transition at K_rho=1/4. Upon increasing the screening length, the charge and spin correlation functions reveal the crossover from dominant 2k_F spin correlations to dominant 4k_F charge correlations, and a strong enhancement of the charge velocity. In the metallic phase, the signatures of spin-charge separation in the single-particle spectrum, spinon and holon bands, remain robust even for rather long-ranged interactions. The charge-density-wave state exhibits backfolded shadow bands.

11 pages, 11 figures (final version with minor changes)

References in corpus (11)

• Continuous-time Monte Carlo methods for quantum impurity models
• Diagrammatic Determinantal methods: projective schemes and applications to the Hubbard-Holstein model
• Wigner crystal physics in quantum wires
• Tomonaga-Luttinger parameters for doped Mott insulators
• Exact ground state properties of the one-dimensional Coulomb gas
• Ground state properties of the one-dimensional electron liquid
• Correlation effects in quasi one dimensional electron wires
• Dynamic charge correlations near the Peierls transition
• Phase Diagram of the $t$--$U$--$V_1$--$V_2$ Model at Quarter Filling
• Fractional charges and spin-charge separation in one-dimensional Wigner lattices
• Magnetism of one-dimensional Wigner lattices and its impact on charge order

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