Magnetic Pentagonal Ring - Galois Extensions and Crystallography

• Authors: M. Labuz , T. Lulek
• Languages of publication: EN

Abstracts

EN

The Galois symmetry of exact Bethe Ansatz eigenstates for magnetic pentagonal ring is shown to bear a close analogy to some crystallographic constructions. Automorphisms of number field extensions associated with these eigenstates prove to be related to choices of the Bravais cells in the finite crystal lattice ℤ₂×ℤ₂, responsible for extension of the cyclotomic field by the Bethe parameters.

Keywords

EN

75.10.Jm; 03.65.Fd; 03.67.Lx; 02.10.Ud; 02.10.De

Discipline

• 02.10.Ud: Linear algebra
• 03.65.Fd: Algebraic methods(see also 02.20.-a Group theory)
• 02.10.De: Algebraic structures and number theory
• 03.67.Lx: Quantum computation architectures and implementations
• 75.10.Jm: Quantized spin models, including quantum spin frustration

• Journal: Acta Physica Polonica A
• Year: 2017
• Volume: 132
• Issue: 1
• Pages: 97-99

Dates

published

2017-07

Contributors

author

M. Labuz

• Department of Theoretical Physics, Faculty of Mathematics and Natural Sciences, University of Rzeszów, S. Pigonia 1, 35-310 Rzeszów, Poland

author

T. Lulek

• Faculty of Physics, Adam Mickiewicz University, Umultowska 85, 61-614 Poznań, Poland
• Department of Experimental Physics, Faculty of Mathematics and Natural Sciences, University of Rzeszów, S. Pigonia 1, 35-310 Rzeszów, Poland

References

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Identifiers

DOI

10.12693/APhysPolA.131.97