Instantons in the Hofstadter butterfly: difference equation, resurgence and quantum mirror curves

Instantons in the Hofstadter butterfly: difference equation, resurgence and quantum mirror curves

Abstract We study the Harper-Hofstadter Hamiltonian and its corresponding non-perturbative butterfly spectrum. The problem is algebraically solvable whenever the magnetic flux is a rational multiple of 2π. For such values of the magnetic flux, the theory allows a formulation with two Bloch or θ-angl...

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Bibliographic Details
Main Authors: Zhihao Duan, Jie Gu, Yasuyuki Hatsuda, Tin Sulejmanpasic
Format: Article
Language:English
Published: SpringerOpen 2019-01-01
Series:Journal of High Energy Physics
Subjects:
Nonperturbative Effects
Solitons Monopoles and Instantons
Topological Strings
Online Access:http://link.springer.com/article/10.1007/JHEP01(2019)079

Internet

http://link.springer.com/article/10.1007/JHEP01(2019)079

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