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Physical review. B./Physical review. B

Exact dimer ground states of long-range spin chains and ladders

Jędrzej Wardyn, Miłosz Panfil

Published Sep 21, 2026• 0 citations
Publisher
DOI
10.1103/199h-xzdv

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Exact dimer ground states of long-range spin chains and ladders

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Interacting spin chains and ladders are known to support a plethora of quantum phases withcomplex ground-state phase diagrams. In this work, we study a large family of such models anddetermine precise, explicit conditions under which an exact dimer state is guaranteed to be theground state. These general conditions are validated for various generalizations of the Majumdar-Ghosh model using exact diagonalization. Our results provide exact reference points in the phasediagrams of a wide class of spin chains and ladders, including those with anisotropic and arbitrary-range interactions.

•Jun 30, 2026•0 citations
Interacting spin chains and ladders are known to support a plethora of quantum phases with complex ground-state phase diagrams. In this work, we study a large family of such models and determine precise, explicit conditions under which an exact dimer state is guaranteed to be the ground state. These general conditions are validated for various generalizations of the Majumdar-Ghosh model using exact diagonalization. Our results provide exact reference points in the phase diagrams of a wide class of spin chains and ladders, including those with anisotropic and arbitrary-range interactions.
Interacting spin chains and ladders are known to support a plethora of quantum phases withcomplex ground-state phase diagrams. In this work, we study a large family of such models anddetermine precise, explicit conditions under which an exact dimer state is guaranteed to be theground state. These general conditions are validated for various generalizations of the Majumdar-Ghosh model using exact diagonalization. Our results provide exact reference points in the phasediagrams of a wide class of spin chains and ladders, including those with anisotropic and arbitrary-range interactions.