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math-ph2023
Boundary effects and the stability of the low energy spectrum of the AKLT model
Simone Del Vecchio, Jürg Fröhlich, Alessandro Pizzo +1
In this paper we study the low-lying spectrum of the AKLT model perturbed by small, finite-range potentials and with open boundary conditions imposed at the edges of the chain. Our…
math-ph2023
Low energy spectrum of the XXZ model coupled to a magnetic field
Simone Del Vecchio, Jürg Fröhlich, Alessandro Pizzo +1
For a class of Hamiltonians of spin chains in a uniform external magnetic field that are small quantum perturbations of an Ising Hamiltonian, it is shown that the spectral ga…