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Physical review. B, Condensed matter

Breakdown of the quasiparticle picture in the low-density limit of the one-dimensional Hubbard model

Shaojin Qin, Tiezheng Qian, Lu Yu, Zhao-Bin Su

Published Jun 15, 1995• 1 citation
Publisher

Abstract

Using the finite-size scaling of results obtained by exact diagonalization, we study the low-density limit of the one-dimensional Hubbard model. Calculating the quasiparticle weight, we demonstrate that for a given particle number N and system size L, there always exists a crossover point ${\mathit{U}}_{\mathit{c}}$ separating the Fermi-liquid (U${\mathit{U}}_{\mathit{c}}$) and non-Fermi-liquid (U>${\mathit{U}}_{\mathit{c}}$) regimes (U is the Hubbard repulsion). We find that for a fixed N, ${\mathit{U}}_{\mathit{c}}$ is inversely proportional to L, keeping ${\mathit{U}}_{\mathit{c}}$L/t constant (with t as the hopping integral), as L is large enough. It follows that in the low-density (in fact vanishing density) limit L\ensuremath{\rightarrow}\ensuremath{\infty}, ${\mathit{U}}_{\mathit{c}}$\ensuremath{\rightarrow}0, so the system is always in the non-Fermi-liquid regime as long as U>0. We show that our numerical results are consistent with the Bethe-ansatz solution.

DOI
10.1103/physrevb.51.16594

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