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Exploring corner transfer matrices and corner tensors for the classical simulation of quantum lattice systems
Roman Orus
In this paper we explore the practical use of the corner transfer matrix and its higher-dimensional generalization, the corner tensor, to develop tensor network algorithms for the…
Breakdown of a perturbed Z_N topological phase
M. D. Schulz, S. Dusuel, R. Orus +2
We study the robustness of a generalized Kitaev's toric code with Z_N degrees of freedom in the presence of local perturbations. For N=2, this model reduces to the conventional tor…
Topological Geometric Entanglement
Roman Orus, Tzu-Chieh Wei
Here we show the connection between topological order and the geometric entanglement, as measured by the logarithm of the overlap between a given state and its closest product stat…
Intermediate Haldane phase in spin-2 quantum chains with uniaxial anisotropy
Hong-Hao Tu, Roman Orus
We provide evidence of an intermediate Haldane phase in a spin-2 quantum chain. By combining effective field theory and numerical approaches, we show that the phase diagram of the…
Effective field theory for the SO(n) bilinear-biquadratic spin chain
Hong-Hao Tu, Roman Orus
We present a low-energy effective field theory to describe the SO(n) bilinear-biquadratic spin chain. We start with n=6 and construct the effective theory by using six Majorana fer…
Entanglement and SU(n) symmetry in one-dimensional valence bond solid states
Roman Orus, Hong-Hao Tu
Here we evaluate the many-body entanglement properties of a generalized SU(n) valence bond solid state on a chain. Our results follow from a derivation of the transfer matrix of th…