WebIntricate interplay between the periodicity of the lattice structure and that of the cyclotron motion gives rise to a well-known self-similar fractal structure of the energy eigenvalue, known as the Hofstadter butterfl… WebDouglas Richard Hofstadter (born February 15, 1945) is an American scholar of cognitive science, physics, and comparative literature whose research includes concepts such as the sense of self in relation to the external …
The Hofstadter Butterfly
WebNov 9, 2024 · Hofstadter Butterfly for graphene Ask Question Asked 3 years, 5 months ago Modified 3 years, 5 months ago Viewed 443 times 0 I am trying to extend the Harper equation from two dimensional square lattice to monolayer graphene by using mathematica. For square lattice the code is given here "Poor rendering of fractals". WebDec 23, 2008 · The fractalized Hofstadter butterfly energy spectrum predicted for magnetically confined fermions diffracted by a crystal lattice has remained beyond the reach of laboratory-accessible magnetic fields. We find the geometrically frustrated spin system SrCu 2 (BO 3) 2 to provide a sterling demonstration of a system in which bosons confined … czollinger08 aol.com
Physics - Looking for Hofstadter’s Butterfly in Cold Atoms
WebApr 8, 2003 · Hofstadter spectrum Hans Koch and Sa a Koci-Interacting fermions in two dimension in ... Hofstadter butterfly Zheng-Wei Zuo, Wladimir A Benalcazar, Yunzhe Liu et al.-This content was downloaded from IP address 207.46.13.43 on 22/12/2024 at 08:47. Creation of effective magnetic fields in optical lattices: the Hofstadter butterfly for cold ... WebApr 11, 2024 · Fractional disclination charge and discrete shift in the Hofstadter butterfly. In the presence of crystalline symmetries, topological phases of matter acquire a host of invariants leading to non-trivial quantized responses. Here we study a particular invariant, the discrete shift , for the square lattice Hofstadter model of free fermions. is ... WebMay 30, 2003 · Creation of effective magnetic fields in optical lattices: the Hofstadter butterfly for cold neutral atoms. D Jaksch 1,2 and P Zoller 2. Published 30 May 2003 • Published under licence by IOP Publishing Ltd New Journal of Physics, Volume 5, January 2003 Focus on Quantum Gases Citation D Jaksch and P Zoller 2003 New J. Phys. 5 56 … czolg leonarda da vinci