Hidden Order and Dynamics in Supersymmetric Valence Bond Solid States -- Super-Matrix Product State Formalism

Abstract

Supersymmetric valence bond solid models are extensions of the VBS model, a paradigmatic model of `solvable' gapped quantum antiferromagnets, to the case with doped fermionic holes. In this paper, we present a detailed analysis of physical properties of the models. For systematic studies, a supersymmetric version of the matrix product formalism is developed. On 1D chains, we exactly evaluate the hole-doping behavior of various physical quantities, such as the spin/charge excitation spectrum, superconducting order parameter. A generalized hidden order is proposed, and the corresponding string non-local order parameter is also calculated. The behavior of the string order parameter is discussed in the light of the entanglement spectrum.

20 pages, a problem with PdfLaTeX fixed. supplementary material is available upon request

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Cited by in corpus (9)

• Stable topological edge states in a non-Hermitian four-band model
• Quantum Entanglement and Topological Order in Hole-Doped Valence Bond Solid States
• Destruction of string order after a quantum quench
• Ferromagnetism in the SU(N) Kondo lattice model -- SU(N) double exchange and supersymmetry
• Entanglement spectra of q-deformed higher spin VBS states
• Tsirelson's bound and supersymmetric entangled states
• Phase diagram and sweep dynamics of a one-dimensional generalized cluster model
• Topological Many-Body States in Quantum Antiferromagnets via Fuzzy Super-Geometry
• A brief note on the G${}_2$ Affleck-Kennedy-Lieb-Tasaki chain