The rotor model and combinatorics

M. T. Batchelor; J. De Gier; B. Nienhuis

doi:10.1142/s0217979202011597

The rotor model and combinatorics

M. T. Batchelor^*, J. De Gier, B. Nienhuis

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

We examine the groundstate wavefunction of the rotor model for different boundary conditions. Three conjectures are made on the appearance of numbers enumerating alternating sign matrices. In addition to those occurring in the O(n = 1) model we find the number A_V(2m + 1;3), which 3-enumerates vertically symmetric alternating sign matrices.

Original language	English
Pages (from-to)	1883-1889
Number of pages	7
Journal	International Journal of Modern Physics B
Volume	16
Issue number	14-15
DOIs	https://doi.org/10.1142/s0217979202011597
Publication status	Published - 20 Jun 2002

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title = "The rotor model and combinatorics",

abstract = "We examine the groundstate wavefunction of the rotor model for different boundary conditions. Three conjectures are made on the appearance of numbers enumerating alternating sign matrices. In addition to those occurring in the O(n = 1) model we find the number AV(2m + 1;3), which 3-enumerates vertically symmetric alternating sign matrices.",

author = "Batchelor, {M. T.} and {De Gier}, J. and B. Nienhuis",

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AU - Batchelor, M. T.

AU - De Gier, J.

AU - Nienhuis, B.

PY - 2002/6/20

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N2 - We examine the groundstate wavefunction of the rotor model for different boundary conditions. Three conjectures are made on the appearance of numbers enumerating alternating sign matrices. In addition to those occurring in the O(n = 1) model we find the number AV(2m + 1;3), which 3-enumerates vertically symmetric alternating sign matrices.

AB - We examine the groundstate wavefunction of the rotor model for different boundary conditions. Three conjectures are made on the appearance of numbers enumerating alternating sign matrices. In addition to those occurring in the O(n = 1) model we find the number AV(2m + 1;3), which 3-enumerates vertically symmetric alternating sign matrices.

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EP - 1889

JO - International Journal of Modern Physics B

JF - International Journal of Modern Physics B

IS - 14-15

ER -

The rotor model and combinatorics

Abstract

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