Araujo, Thiago; Orlando, Domenico; Reffert, Susanne (2021). Quantum crystals, Kagome lattice, and plane partitions fermion-boson duality. Physical review. D - particles, fields, gravitation, and cosmology, 103(2), 026020. American Physical Society 10.1103/PhysRevD.103.026020
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In this work we study quantum crystal melting in three space dimensions. Using an equivalent description in terms of dimers in a hexagonal lattice, we recast the crystal melting Hamiltonian as an occupancy problem in a Kagome lattice. The Hilbert space is spanned by states labeled by plane partitions, and, writing them as a product of interlaced integer partitions, we define a fermion-boson duality for plane
partitions. Finally, based upon the latter result we conjecture that the growth operators for the quantum Hamiltonian can be represented in terms of the affine Yangian Y[gl(1)].
Item Type: |
Journal Article (Original Article) |
|---|---|
Division/Institute: |
08 Faculty of Science > Institute of Theoretical Physics 10 Strategic Research Centers > Albert Einstein Center for Fundamental Physics (AEC) |
UniBE Contributor: |
Rocha Araujo, Thiago, Orlando, Domenico, Reffert, Susanne |
Subjects: |
500 Science > 530 Physics |
ISSN: |
1550-7998 |
Publisher: |
American Physical Society |
Language: |
English |
Submitter: |
Esther Fiechter |
Date Deposited: |
12 Feb 2021 12:09 |
Last Modified: |
05 Dec 2022 15:46 |
Publisher DOI: |
10.1103/PhysRevD.103.026020 |
ArXiv ID: |
2005.09103 |
BORIS DOI: |
10.48350/151851 |
URI: |
https://boris.unibe.ch/id/eprint/151851 |
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