The hofstadter butterfly

Author: iaqs

August undefined, 2024

WebApr 29, 2016 · The Hofstadter butterfly is a quantum fractal with a highly complex nested set of gaps, where each gap represents a quantum Hall state whose quantized conductivity is … WebJul 23, 2024 · The connected Hofstadter butterfly strongly evidences the topologically nontrivial textures of the multiple moiré bands. Overall, our work provides a perspective for understanding the quantum phases in tBLG and the fractal Hofstadter spectra of multiple topological bands.

Topological triple phase transition in non-Hermitian Floquet ...

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… WebThe 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. dori gilinski

Fractalization drives crystalline states in a frustrated spin system

WebApr 13, 2004 · The Hofstadter butterfly is the energy spectrum of an infinite square lattice, plotted as a function of the magnetic field. We illustrate a method of calculating similar spectra for finite lattices in a magnetic field, using methods that consider the appropriate molecular orbitals, and find that the spectra resemble the Hofstadter butterfly. WebMay 15, 2013 · Known as Hofstadter’s butterfly, this complex spectrum results from an interplay between the characteristic lengths associated with the two quantizing fields 1, 2, … 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. rac-71jk

[2203.05821] Hofstadter Butterfly in Graphene - arXiv.org

Hofstadter’s butterfly and the fractal quantum Hall effect …

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". WebNov 5, 2024 · The Hofstadter butterfly has long fascinated theorists, but it is only recently that the butterfly has been seen in moir\\'e systems. Its rich fractal structure can be understood fromsymmetry analysis of the magnetic translation group. Similar symmetry analysis reveals a new, equally rich, structure when Hofstadter systems become … dori emoji genshinWebOct 19, 2024 · The Hofstadter model, well known for its fractal butterfly spectrum, describes two-dimensional electrons under a perpendicular magnetic field, which gives rise to the … d original jeru

"WebOne possible origin of the nontrivial unbound Hofstadter butterfly is the single-particle fragile topology hosted by the lowest two moiré bands of each spin and valley in tBLG … " - The hofstadter butterfly

The hofstadter butterfly

The Colored Hofstadter Butterfly for the Honeycomb Lattice

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 …

Did you know?

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 ... 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 …

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 … 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 ...

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” is a fractal phase diagram of Douglas Hofstadter’s model of a quantum Hall system in a periodic potential. Each of the infinite number of phases is characterized by the Chern number of its …

WebJul 3, 2012 · Hofstadter's Quantum-Mechanical Butterfly. Copying... This Demonstration shows the quantum\ [Hyphen]mechanical energy spectrum of an electron in a two …

WebApr 13, 2004 · The Hofstadter butterfly is the energy spectrum of an infinite square lattice, plotted as a function of the magnetic field. We illustrate a method of calculating similar … dorignac\u0027s groceryWebButterfly in the Quantum World - Nov 12 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. The butterfly came out of a simple-sounding question: What dori gomezWebSep 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? dorignac\u0027s bakeryWebJan 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 … dori gometsWebMay 30, 2003 · Creation of effective magnetic fields in optical lattices: the Hofstadter butterfly for cold neutral atoms. D Jaksch1,2 and P Zoller2. Published 30 May 2003 • … rac70npdWebApr 11, 2024 · Fractional disclination charge and discrete shift in the Hofstadter butterfly Yuxuan Zhang, Naren Manjunath, Gautam Nambiar, Maissam Barkeshli In the presence of … rac-71jk/ras-71njkWebDec 2, 2024 · The Hofstadter butterfly is the emblem of a long-standing problem concerning the single-electron states in a periodic electric potential and a transverse, constant … rac 71