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Matrix product state fixed points of non-Hermitian transfer matrices
Wei Tang, Frank Verstraete, Jutho Haegeman
The contraction of tensor networks is a central task in the application of tensor network methods to the study of quantum and classical many body systems. In this paper, we investi…
Contrasting pseudo-criticality in the classical two-dimensional Heisenberg and models: zero-temperature phase transition versus finite-temperature crossover
Lander Burgelman, Lukas Devos, Bram Vanhecke +2
Tensor-network methods are used to perform a comparative study of the two-dimensional classical Heisenberg and models. We demonstrate that uniform matrix product st…
What is the group of a quantum group? From to MPO representations of
Weronika Wiesiolek, Romain Couvreur, Dmitry Chernyak +2
Generalized symmetries realized by matrix product operators (MPOs) have so far been tied to discrete data leaving continuous symmetries outside the framework. Quantum groups fill t…
A critical lattice model for a Haagerup conformal field theory
Robijn Vanhove, Laurens Lootens, Maarten Van Damme +4
We use the formalism of strange correlators to construct a critical classical lattice model in two dimensions with the \emph{Haagerup fusion category} as input data…
Solving frustrated Ising models using tensor networks
Bram Vanhecke, Jeanne Colbois, Laurens Vanderstraeten +2
Motivated by the recent success of tensor networks to calculate the residual entropy of spin ice and kagome Ising models, we develop a general framework to study frustrated Ising m…
A scaling hypothesis for matrix product states
Bram Vanhecke, Jutho Haegeman, Karel Van Acoleyen +2
We revisit the question of describing critical spin systems and field theories using matrix product states, and formulate a scaling hypothesis in terms of operators, eigenvalues of…