@article{ElsterPlattThomaleetal.2015,
  author    = {Elster, Lars and Platt, Christian and Thomale, Ronny and Hanke, Werner and Hankiewicz, Ewelina M.},
  title     = {Accessing topological superconductivity via a combined STM and renormalization group analysis},
  series = {Nature Communications},
  volume    = {6},
  journal   = {Nature Communications},
  number    = {8232},
  doi       = {10.1038/ncomms9232},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-148181},
  year      = {2015},
  abstract  = {The search for topological superconductors has recently become a key issue in condensed matter physics, because of their possible relevance to provide a platform for Majorana bound states, non-Abelian statistics, and quantum computing. Here we propose a new scheme which links as directly as possible the experimental search to a material-based microscopic theory for topological superconductivity. For this, the analysis of scanning tunnelling microscopy, which typically uses a phenomenological ansatz for the superconductor gap functions, is elevated to a theory, where a multi-orbital functional renormalization group analysis allows for an unbiased microscopic determination of the material-dependent pairing potentials. The combined approach is highlighted for paradigmatic hexagonal systems, such as doped graphene and water-intercalated sodium cobaltates, where lattice symmetry and electronic correlations yield a propensity for a chiral singlet topological superconductor. We demonstrate that our microscopic material-oriented procedure is necessary to uniquely resolve a topological superconductor state.},
  language  = {en}
}
@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{RousochatzakisReutherThomaleetal.2015,
  author    = {Rousochatzakis, Ioannis and Reuther, Johannes and Thomale, Ronny and Rachel, Stephan and Perkins, N. B.},
  title     = {Phase Diagram and Quantum Order by Disorder in the Kitaev K\(_1\) - K\(_2\) Honeycomb Magnet},
  series = {Physical Review X},
  volume    = {5},
  journal   = {Physical Review X},
  number    = {041035},
  doi       = {10.1103/PhysRevX.5.041035},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-137235},
  year      = {2015},
  abstract  = {We show that the topological Kitaev spin liquid on the honeycomb lattice is extremely fragile against the second-neighbor Kitaev coupling K\(_2\), which has recently been shown to be the dominant perturbation away from the nearest-neighbor model in iridate Na\(_2\)IrO\(_3\), and may also play a role in \(\alpha\)-RuCl\(_3\) and Li\(_2\)IrO\(_3\). This coupling naturally explains the zigzag ordering (without introducing unrealistically large longer-range Heisenberg exchange terms) and the special entanglement between real and spin space observed recently in Na\(_2\)IrO\(_3\). Moreover, the minimal K\(_1\) - K\(_2\) model that we present here holds the unique property that the classical and quantum phase diagrams and their respective order-by-disorder mechanisms are qualitatively different due to the fundamentally different symmetries of the classical and quantum counterparts.},
  language  = {en}
}