Magnetic square lattice with vertex coupling of a preferred orientation

Autor:	Baradaran, Marzieh, Exner, Pavel, Lipovský, Jiří
Rok vydání:	2023
Předmět:	Mathematical Physics Mathematics - Spectral Theory Quantum Physics 81Q35 47B93
Druh dokumentu:	Working Paper
DOI:	10.1016/j.aop.2023.169339
Popis:	We analyze a square lattice graph in a magnetic field assuming that the vertex coupling is of a particular type violating the time reversal invariance. Calculating the spectrum numerically for rational values of the flux per plaquette we show how the two effects compete; at the high energies it is the magnetic field which dominates restoring asymptotically the familiar Hofstadter's butterfly pattern. Comment: 19 pages, 6 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2302.04601 Zobrazit plný text záznamu View this record from Arxiv