Wigner crystal vs. Friedel oscillations in the 1D Hubbard model

Abstract

We analyze the fermion density of the one-dimensional Hubbard model using bosonization and numerical DMRG calculations. For finite systems we find a relatively sharp crossover even for moderate short range interactions into a region with $4k_F$ density waves as a function of density. The results show that the unstable fixed point of a spin-incoherent state can dominate the physical behavior in a large region of parameter space in finite systems. The crossover may be observable in ultra cold fermionic gases in optical lattices and in finite quantum wires.

6 pages, 6 figures. Published version. The most recent file can be found at http://www.physik.uni-kl.de/eggert/papers/index.html

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• Many-Body Physics with Ultracold Gases
• A Mott insulator of fermionic atoms in an optical lattice
• The spin-incoherent Luttinger liquid
• Quantum Spin Dynamics of Mode-Squeezed Luttinger Liquids in Two-Component Atomic Gases
• Theory of momentum resolved tunneling into a short quantum wire
• Local Density of States for Individual Energy Levels in Finite Quantum Wires
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• The one-dimensional Hubbard model with open ends: Universal divergent contributions to the magnetic susceptibility

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