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Probing the geometry of the Laughlin state
Sonika Johri, Z. Papic, P. Schmitteckert +2
It has recently been pointed out that phases of matter with intrinsic topological order, like the fractional quantum Hall states, have an extra dynamical degree of freedom that cor…
Geometry of Landau orbits in the absence of rotational symmetry
F. D. M. Haldane, Yu Shen
The integer quantum Hall effect (IQHE) is usually modeled using Galilean-invariant or rotationally-invariant Landau levels. However, these are not generic symmetries of electrons m…
Topological nodal Cooper pairing in doped Weyl metals
Yi Li, F. D. M. Haldane
We generalize the concept of Berry connection of the single-electron band structure to the two-particle Cooper pair states between two Fermi surfaces with opposite Chern numbers. B…
The Fractional Quantum Hall States at and and their Non-Abelian Nature
W. Zhu, S. S. Gong, F. D. M. Haldane +1
We investigate the nature of the fractional quantum Hall (FQH) state at filling factor , and its particle-hole conjugate state at , with the Coulomb interaction, and…