Double semion phase in an exactly solvable quantum dimer model on the kagome lattice

Quantum dimer models typically arise in various low energy theories like those of frustrated antiferromagnets. We introduce a quantum dimer model on the kagome lattice which stabilizes an alternative Z sub(2) topological order, namely the so-called "double semion" order. For a particular s...

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Bibliographic Details
Published in:Physical review. B, Condensed matter and materials physics Condensed matter and materials physics, 2014-11, Vol.90 (19), Article 195148
Main Authors: Buerschaper, Oliver, Morampudi, Siddhardh C., Pollmann, Frank
Format: Article
Language:English
Subjects:
Antiferromagnetism
Condensed matter
Dimers
Excitation
Ground state
Kagome lattice
Low energy
Mathematical models
Topology
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Summary:Quantum dimer models typically arise in various low energy theories like those of frustrated antiferromagnets. We introduce a quantum dimer model on the kagome lattice which stabilizes an alternative Z sub(2) topological order, namely the so-called "double semion" order. For a particular set of parameters, the model is exactly solvable, allowing us to access the ground state as well as the excited states. We show that the double semion phase is stable over a wide range of parameters using numerical exact diagonalization. Furthermore, we propose a simple microscopic spin Hamiltonian for which the low-energy physics is described by the derived quantum dimer model.
ISSN:1098-0121
1550-235X
DOI:10.1103/PhysRevB.90.195148