@article{LeePapićThomale2015,
  author    = {Lee, Ching Hua and Papić, Zlatko and Thomale, Ronny},
  title     = {Geometric construction of quantum Hall clustering Hamiltonians},
  series = {Physical Review X},
  volume    = {5},
  journal   = {Physical Review X},
  number    = {4},
  doi       = {10.1103/PhysRevX.5.041003},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-145233},
  pages     = {041003},
  year      = {2015},
  abstract  = {Many fractional quantum Hall wave functions are known to be unique highest-density zero modes of certain "pseudopotential" Hamiltonians. While a systematic method to construct such parent Hamiltonians has been available for the infinite plane and sphere geometries, the generalization to manifolds where relative angular momentum is not an exact quantum number, i.e., the cylinder or torus, remains an open problem. This is particularly true for non-Abelian states, such as the Read-Rezayi series (in particular, the Moore-Read and Read-Rezayi Z\(_3\) states) and more exotic nonunitary (Haldane-Rezayi and Gaffnian) or irrational (Haffnian) states, whose parent Hamiltonians involve complicated many-body interactions. Here, we develop a universal geometric approach for constructing pseudopotential Hamiltonians that is applicable to all geometries. Our method straightforwardly generalizes to the multicomponent SU(n) cases with a combination of spin or pseudospin (layer, subband, or valley) degrees of freedom. We demonstrate the utility of our approach through several examples, some of which involve non-Abelian multicomponent states whose parent Hamiltonians were previously unknown, and we verify the results by numerically computing their entanglement properties.},
  language  = {en}
}
@article{SessiSilkinNechaevetal.2015,
  author    = {Sessi, Paolo and Silkin, Vyacheslav M. and Nechaev, Ilya A. and Bathon, Thomas and El-Kareh, Lydia and Chulkov, Evgueni V. and Echenique, Pedro M. and Bode, Matthias},
  title     = {Direct observation of many-body charge density oscillations in a two-dimensional electron gas},
  series = {Nature Communications},
  volume    = {6},
  journal   = {Nature Communications},
  number    = {8691},
  doi       = {10.1038/ncomms9691},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-145246},
  year      = {2015},
  abstract  = {Quantum interference is a striking manifestation of one of the basic concepts of quantum mechanics: the particle-wave duality. A spectacular visualization of this effect is the standing wave pattern produced by elastic scattering of surface electrons around defects, which corresponds to a modulation of the electronic local density of states and can be imaged using a scanning tunnelling microscope. To date, quantum-interference measurements were mainly interpreted in terms of interfering electrons or holes of the underlying band-structure description. Here, by imaging energy-dependent standing-wave patterns at noble metal surfaces, we reveal, in addition to the conventional surface-state band, the existence of an 'anomalous' energy band with a well-defined dispersion. Its origin is explained by the presence of a satellite in the structure of the many-body spectral function, which is related to the acoustic surface plasmon. Visualizing the corresponding charge oscillations provides thus direct access to many-body interactions at the atomic scale.},
  language  = {en}
}