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71 papers · 1 filter
Coupled Majorana modes in a dual vortex of the Kitaev honeycomb model
Surajit Basak, Jean-Noël Fuchs
The Kitaev model is exactly solvable in terms of Majorana fermions hopping on a honeycomb lattice and coupled to a static gauge field, giving the possibility of -…
Partition function of the Kitaev quantum double model
Anna Ritz-Zwilling, Benoît Douçot, Steven H. Simon +2
We compute the degeneracy of energy levels in the Kitaev quantum double model for any discrete group on any planar graph forming the skeleton of a closed orientable surface of…
Majorana Diagrammatics for Quantum Spin-1/2 Models
Thibault Noblet, Laura Messio, Riccardo Rossi
A diagrammatic formalism for lattices of 1/2 is developed. It is based on an unconstrained mapping between spin and Majorana operators. This allows the use of standard tools of dia…
Complete Boundary Phase Diagram of the Spin- XXZ Chain with Boundary Fields in the Anti-Ferromagnetic Gapped Regime
Parameshwar R. Pasnoori, Yicheng Tang, Junhyun Lee +3
We consider the spin XXZ chain with diagonal boundary fields and solve it exactly using Bethe ansatz in the gapped anti-ferromagnetic regime and obtain the complete p…
Kitaev model in regular hyperbolic tilings
Julien Vidal, Rémy Mosseri
We study the Kitaev model on regular hyperbolic trivalent tilings. Depending on the length of the elementary polygons, we examine two distinct tri-colorings of the tiling. Usin…
Emergent boundary supersymmetry in a one dimensional superconductor
Parameshwar R. Pasnoori, Patrick Azaria, Colin Rylands +1
The interplay between bulk properties and boundary conditions in one-dimensional quantum systems, gives rise to many intriguing phenomena. These include the emergence of zero energ…