Graph-restricted tensors generalize 1-uniform states, dual-unitary operators and AME states, with exact analytic solutions for new examples motivated by holographic lattice models.
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Tensor network simulations of the Ising model on hyperbolic lattices with coordination number 7 reveal power-law boundary spin correlations in the disordered phase and logarithmic boundary entanglement entropy at criticality, consistent with holography.
A two-parameter flow equation is derived for Anderson localization on the hyperbolic plane, with an extended critical line separating metallic and insulating phases in the plane of scale-dependent curvature and conductivity.
citing papers explorer
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Graph restricted tensors: building blocks for holographic networks
Graph-restricted tensors generalize 1-uniform states, dual-unitary operators and AME states, with exact analytic solutions for new examples motivated by holographic lattice models.
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Quantum Ising Model on $(2+1)-$Dimensional Anti$-$de Sitter Space using Tensor Networks
Tensor network simulations of the Ising model on hyperbolic lattices with coordination number 7 reveal power-law boundary spin correlations in the disordered phase and logarithmic boundary entanglement entropy at criticality, consistent with holography.
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Theory of Anderson localization on the hyperbolic plane
A two-parameter flow equation is derived for Anderson localization on the hyperbolic plane, with an extended critical line separating metallic and insulating phases in the plane of scale-dependent curvature and conductivity.