Constructs Laughlin bundles over the m-quasihole symmetric power of a curve, derives their Chern characters via GRR, establishes projective flatness in the filled case, and verifies the classes reproduce the Aharonov-Bohm plus fractional-statistics decomposition of the Berry phase in genus 0 and 1.
Three Lectures On Topological Phases Of Matter
5 Pith papers cite this work. Polarity classification is still indexing.
abstract
These notes are based on lectures at the PSSCMP/PiTP summer school that was held at Princeton University and the Institute for Advanced Study in July, 2015. They are devoted largely to topological phases of matter that can be understood in terms of free fermions and band theory. They also contain an introduction to the fractional quantum Hall effect from the point of view of effective field theory.
verdicts
UNVERDICTED 5representative citing papers
Multipartite entanglement quantities in holographic Weyl semimetals develop features at the topological critical point and distinguish phases through anisotropic large-l scaling.
Phonon-mediated intra-arc and inter-arc pairing in Fermi arcs of Weyl semimetals produces nodal surface superconductivity whose nodes arise from weak surface Coulomb screening.
The Zamolodchikov metric in Narain CFTs is realized using the Cartan matrix K_g and its inverse from finite-dimensional Lie algebras g.
Derives dispersion relations for edge and hinge states from boundary conditions on Dirac lattice models and shows that nontrivial topology of a gapped edge state ensures a gapless hinge state.
citing papers explorer
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Chern classes of Laughlin bundles on the quasihole moduli space
Constructs Laughlin bundles over the m-quasihole symmetric power of a curve, derives their Chern characters via GRR, establishes projective flatness in the filled case, and verifies the classes reproduce the Aharonov-Bohm plus fractional-statistics decomposition of the Berry phase in genus 0 and 1.
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Detecting Topological Transitions and Anisotropy through Multipartite Entanglement in Holographic Weyl Semimetals
Multipartite entanglement quantities in holographic Weyl semimetals develop features at the topological critical point and distinguish phases through anisotropic large-l scaling.
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Phonon-driven nodal surface superconductivity of Fermi arcs
Phonon-mediated intra-arc and inter-arc pairing in Fermi arcs of Weyl semimetals produces nodal surface superconductivity whose nodes arise from weak surface Coulomb screening.
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Algebraic Realisation of the Zamolodchikov Metric in Narain Theories
The Zamolodchikov metric in Narain CFTs is realized using the Cartan matrix K_g and its inverse from finite-dimensional Lie algebras g.
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Boundary Condition Analysis of First and Second Order Topological Insulators
Derives dispersion relations for edge and hinge states from boundary conditions on Dirac lattice models and shows that nontrivial topology of a gapped edge state ensures a gapless hinge state.