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Hofstadter's butterfly

Known as: Hofstadter, Hofstadter butterfly 
In physics, Hofstadter's butterfly is a mathematical object describing the theorised behaviour of electrons in a magnetic field. It was discovered in… Expand
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Papers overview

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2016
2016
The $\alpha$-$T_3$ model extrapolates between the pseudospin $S=1/2$ honeycomb lattice of graphene and the pseudospin $S=1$ dice… Expand
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Highly Cited
2015
Highly Cited
2015
Chern numbers characterize the quantum Hall effect conductance—non-zero values are associated with topological phases. Previously… Expand
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2014
2014
We rely on a recent method for determining edge spectra and we use it to compute the Chern numbers for Hofstadter models on the… Expand
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Review
2014
Review
2014
We give a general overview of the high-frequency regime in periodically driven systems and identify three distinct classes of… Expand
Highly Cited
2011
Highly Cited
2011
The Hofstadter butterfly spectral patterns of lattice electrons in an external magnetic field yield some of the most beguiling… Expand
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2006
2006
The electronic spectrum of a two-dimensional square lattice in a perpendicular magnetic field has become known as the Hofstadter… Expand
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Highly Cited
2003
Highly Cited
2003
We investigate the dynamics of neutral atoms in a 2D optical lattice which traps two distinct internal states of the atoms in… Expand
Highly Cited
1998
Highly Cited
1998
Conceptual integration—“blending”—is a general cognitive operation on a par with analogy, recursion, mental modeling, conceptual… Expand
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Highly Cited
1995
Highly Cited
1995
concept (as opposed to the instance thereof found inside the string xyz). Many people, eager to construct a successor to Platonic… Expand
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Highly Cited
1995
Highly Cited
1995
Abstract We study integrable vertex models and quantum spin chains with toroidal boundary conditions. An interesting class of… Expand