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- Title
Exact duality of the dissipative Hofstadter model on a triangular lattice: T-duality and noncommutative algebra.
- Authors
Lee, Taejin
- Abstract
We study the dissipative Hofstadter model on a triangular lattice, making use of the T-dual transformation of string theory. The dual transformation transcribes the model in a commutative basis into the model in a noncommutative basis. In the zero-temperature limit, the model exhibits an exact duality, which identifies equivalent points on the two-dimensional parameter space of the model. The exact duality also defines magic circles on the parameter space, where the model can be mapped onto the boundary sine-Gordon on a triangular lattice. The model describes the junction of three quantum wires in a uniform magnetic field background. An explicit expression of the equivalence relation, which identifies the points on the two-dimensional parameter space of the model by the exact duality, is obtained. It may help us to understand the structure of the phase diagram of the model.
- Subjects
STRING theory; QUANTUM field theory; MAGNETIC fields; NANOWIRES; CRYSTAL lattices; NONCOMMUTATIVE algebras
- Publication
International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics, 2016, Vol 31, Issue 27, p-1
- ISSN
0217-751X
- Publication type
Article
- DOI
10.1142/S0217751X16501542