37 citations · 299 across the 33 of their papers we have counts for
5 papers · 1 filter
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…
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…
Approaching the Kosterlitz-Thouless transition for the classical XY model with tensor networks
Laurens Vanderstraeten, Bram Vanhecke, Andreas M. Laeuchli +1
We apply variational tensor-network methods for simulating the Kosterlitz-Thouless phase transition in the classical two-dimensional XY model. In particular, using uniform matrix p…
Residual entropies for three-dimensional frustrated spin systems with tensor networks
Laurens Vanderstraeten, Bram Vanhecke, Frank Verstraete
We develop a technique for calculating three-dimensional classical partition functions using projected entangled-pair states (PEPS). Our method is based on variational PEPS optimiz…