The generalized t-V model in one dimension

Abstract

We develop a systematic strong coupling approach for studying an extended t-V model with interactions of a finite range. Our technique is not based on the Bethe ansatz and is applicable to both integrable and non-integrable models. We illustrate our technique by presenting analytic results for the ground state energy (up to order 7 in t/V), the current density and density-density correlations for integrable and non-integrable models with commensurate filling factors. We further present preliminary numerical results for incommensurate non-integrable models.

6 pages, to appear in J. Phys.: Conf. Ser. (SCES2014)

References in corpus (5)

• Series Expansions for the Massive Schwinger Model in Hamiltonian lattice theory
• Phase diagram of the half-filled one-dimensional t-V-V' model
• Charge-density-wave instabilities driven by multiple umklapp scattering
• Exact Solution of the strong coupling t-V model with twisted boundary conditions
• Lattice Hamiltonian approach to the massless Schwinger model: precise extraction of the mass gap

Cited by in corpus (2)

• Cluster Luttinger liquids and emergent supersymmetric conformal critical points in the one-dimensional soft-shoulder Hubbard model
• Pairing in spin chains and spinless fermions with next-nearest neighbour interactions