Phase Diagram of an Asymmetric Spin Ladder

2001/06/29 by Shu Chen, H. Büttner, H. Buettner +2 · 2 citations
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum many-body systems #Theoretical and Computational Physics #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.87.087205

published as Phys. Rev. Lett. 87, 087205 (2001) · 4 pages, 2 EPS figures, to be published in PRL

arxiv created 2001/06/29 · openalex publication_date 2001/08/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate an asymmetric zigzag spin ladder with different exchange integrals on both legs using bosonization and renormalization group approaches. When the leg exchange integrals and frustration both are sufficiently small, renormalization group analysis shows that the Heisenberg critical point flows to an intermediate-coupling fixed point with gapless excitations and a vanishing spin velocity. When they are large, a spin gap opens and a dimer liquid is realized. Here, we find a continuous manifold of Hamiltonians with dimer product ground states, interpolating between the Majumdar-Ghosh and sawtooth spin-chain model.

Citations

• Identification of Nuclear Relaxation Processes in a Gapped Quantum Magnet:1HNMR in theS<mml:mspace/>=<mml:mspace/>12Heisenberg LadderCu2(C5H12N2)2Cl4
• On Next-Nearest-Neighbor Interaction in Linear Chain. I
• The critical properties of the two-dimensional xy model

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