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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
We point out that the recent conjectural solution to the spectral problem for the Hamiltonian $H=e^{x}+e^{-x}+e^{p}+e^{-p}$ in… Expand
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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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2015
2015
We investigate the properties of a two-dimensional quasicrystal in the presence of a uniform magnetic field. In this… Expand
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2011
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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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
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Highly Cited
2000
Highly Cited
2000
Some recent studies have pointed that, the self-organization of neurons into brain-like structures, and the self-organization of… Expand
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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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1995
1995
Abstract We study integrable vertex models and quantum spin chains with toroidal boundary conditions. An interesting class of… Expand
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