Double Semion Phase in an Exactly Solvable Quantum Dimer Model on the Kagome Lattice
| Autor: | Frank Pollmann, Oliver Buerschaper, Siddhardh C. Morampudi |
|---|---|
| Rok vydání: | 2014 |
| Předmět: |
Physics
Strongly Correlated Electrons (cond-mat.str-el) Dimer Spin hamiltonian FOS: Physical sciences Condensed Matter Physics Electronic Optical and Magnetic Materials Quantum dimer models chemistry.chemical_compound Condensed Matter - Strongly Correlated Electrons chemistry Quantum mechanics Lattice (order) Excited state Topological order Condensed Matter::Strongly Correlated Electrons Ground state Quantum |
| DOI: | 10.48550/arxiv.1407.8521 |
| Popis: | 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 $\mathbb{Z}_2$ 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. Comment: 7 pages, 5 figures |
| Databáze: | OpenAIRE |
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