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- W3026924084 abstract "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 ${cal Y}[widehat{mathfrak{gl}}(1)]$." @default.
- W3026924084 created "2020-05-29" @default.
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- W3026924084 date "2021-01-26" @default.
- W3026924084 modified "2023-10-06" @default.
- W3026924084 title "Quantum crystals, Kagome lattice, and plane partitions fermion-boson duality" @default.
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- W3026924084 doi "https://doi.org/10.1103/physrevd.103.026020" @default.
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