The hofstadter butterfly
WebOct 28, 2013 · In either case, observing the Hofstadter butterfly directly, or its associated topological state, will require temperatures that are small compared to the gaps between … WebMar 8, 2013 · The problem of two-dimensional, independent electrons subject to a periodic potential and a uniform perpendicular magnetic field unveils surprisingly rich physics, as epitomized by the fractal energy spectrum known as Hofstadter's Butterfly. It has hitherto been addressed using various approximations rooted in either the strong potential or the …
The hofstadter butterfly
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Webwhen the Hofstadter butterfly spectrum is undermined by electron's scattering. We expect that kagomé quantum oscillations are generic to rotationally-symmetric two-dimensional crystals close to Lifshitz transitions. We report the observation of coinciding features in the WebThe Hofstadter butterfly is the set, where f (x,y)=0. The picture to the right is colored according to the value of f (x,y). Mathematicians call the function f (x,y) a Lyapunov …
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… WebSep 6, 2016 · Butterfly in the Quantum World by Indu Satija, with contributions by Douglas Hofstadter, is the first book ever to tell the story of the "Hofstadter butterfly", a beautiful and fascinating graph lying at the heart of the quantum theory of matter. The butterfly came out of a simple-sounding question: What happens if you immerse a crystal in a magnetic field?
WebMar 11, 2024 · We first briefly introduce the Hofstadter butterfly, including the theoretic toy model of Bloch electrons in the magnetic field, the resulting Harper's equation and its solution, and realizations... WebHofstadter is a surname. Notable people with the surname include: Albert Hofstadter (1910–1989), ... Hofstadter's butterfly, a fractal; Hofstadter Committee, a joint legislative …
WebA strange loop is a cyclic structure that goes through several levels in a hierarchical system. It arises when, by moving only upwards or downwards through the system, one finds oneself back where one started. Strange loops may involve self-reference and paradox.The concept of a strange loop was proposed and extensively discussed by Douglas Hofstadter in …
WebThe Hofstadter butterfly, discovered some forty years ago, is destined to be immortal. In addition to its great visual appeal, it encodes one of the most exotic phenomena in physics, the quantum Hall effect. la city wibWebApr 11, 2024 · Fractional disclination charge and discrete shift in the Hofstadter butterfly Yuxuan Zhang, Naren Manjunath, Gautam Nambiar, Maissam Barkeshli In the presence of … project consulting specialistsWebJan 13, 2011 · The Hofstadter butterfly spectral patterns of lattice electrons in an external magnetic field yield some of the most beguiling images in physics. Here we explore the magneto-electronic spectra of systems with moire spatial patterns, concentrating on the case of twisted bilayer graphene. Because long-period spatial patterns are accurately … project contour githubWebThe Butterfly in the Quantum World - Jan 07 2024 Butterfly in the Quantum World by Indu Satija, with contributions by Douglas Hofstadter, is the first book ever to tell the story of the "Hofstadter butterfly", a beautiful and fascinating graph lying at the heart of the quantum theory of matter. project consulting services pcsWebDec 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 … project consulting group reviewsWeb5 rows · Mar 11, 2024 · We first briefly introduce the Hofstadter butterfly, including the theoretic toy model of Bloch ... project contingencyWebMay 15, 2013 · Hofstadter’s butterfly – a stunning fractal pattern that describes the behaviour of electrons in a magnetic field – has been measured experimentally for the … project consulting services houston