Quantum crystals, Kagome lattice, and plane partitions fermion-boson duality

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 and 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:

12 Feb 2021 12:09

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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