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  • Letter
  • Open Access

All product eigenstates in Heisenberg models from a graphical construction

Felix Gerken1,2,*, Ingo Runkel3, Christoph Schweigert3, and Thore Posske1,2

  • *Contact author: felix.gerken@uni-hamburg.de
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Phys. Rev. Research 7, L012008 – Published 10 January, 2025

DOI: https://doi.org/10.1103/PhysRevResearch.7.L012008

Abstract

Recently, large degeneracy based on product eigenstates has been found in spin ladders, kagome-like lattices, and motif magnetism, connected to spin liquids, anyonic phases, and quantum scars. We unify these systems by a complete classification of product eigenstates of Heisenberg XXZ Hamiltonians with Dzyaloshinskii-Moriya interaction on general graphs in the form of Kirchhoff rules for spin supercurrents. By this, we construct spin systems with extensive degree of degeneracy linked to exotic condensates which could be studied in atomic gases and quantum spin lattices.

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Phys. Rev. Research 7, L012008– Published 10 January, 2025
  • Received 20 October 2023
  • Accepted 27 November 2024
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