Flux period, spin gap, and pairing in the one-dimensional t-J-J'-model

Abstract

Using the factorization of the wavefunction in the t-J-J'-model at small exchange couplings, we demonstrate the connection between the existence of a spin gap and an hc/2e flux periodicity of the ground state energy. We conjecture that all spin-gapped SU(2)-invariant Luttinger liquids have hc/2e flux periodicity, and that this is connected to the fact that a gapped spin-1/2 chain always breaks translational symmetry by doubling the unit cell.

arXiv commentPublished version, 4 pages, 2 figures, RevTex4

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• Competing Orders in One-Dimensional Half-Integer Fermionic Cold Atoms: A Conformal Field Theory Approach
• The Electronic States of Two Oppositely doped Mott Insulators Bilayers
• Gaffnian holonomy through the coherent state method
• Ground State Phase Diagram of $\text{SU}(3)$ $t$-$J$ Chain
• Breakdown of electron-pairs in the presence of an electric field of a superconducting ring