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20022024
most citedA Practical Introduction to Tensor Networks: Matrix Product States and Projected Entangled Pair States

2.1k citations · 8.6k across the 93 of their papers we have counts for

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Showing cond-mat.stat-mechShow all

6 papers · 1 filter

cond-mat.stat-mech2021★ 19 cited

The classical two-dimensional Heisenberg model revisited: An -symmetric tensor network study

Philipp Schmoll, Augustine Kshetrimayum, Jens Eisert +2

The classical Heisenberg model in two spatial dimensions constitutes one of the most paradigmatic spin models, taking an important role in statistical and condensed matter physics…

cond-mat.stat-mech2011★ 74 cited

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…

cond-mat.stat-mech2010★ 211 cited

Robustness of a perturbed topological phase

S. Dusuel, M. Kamfor, R. Orus +2

We investigate the stability of the topological phase of the toric code model in the presence of a uniform magnetic field by means of variational and high-order series expansion ap…

cond-mat.stat-mech2009★ 38 cited

Finite-Size Geometric Entanglement from Tensor Network Algorithms

Qian-Qian Shi, Roman Orus, John Ove Fjaerestad +1

The global geometric entanglement is studied in the context of newly-developed tensor network algorithms for finite systems. For one-dimensional quantum spin systems it is found th…

cond-mat.stat-mech2007★ 483 cited

The iTEBD algorithm beyond unitary evolution

Roman Orus, Guifre Vidal

The infinite time-evolving block decimation (iTEBD) algorithm [Phys. Rev. Lett. 98, 070201 (2007)] allows to simulate unitary evolution and to compute the ground state of one-dimen…

cond-mat.stat-mech2007★ 178 cited

Ground state fidelity from tensor network representations

Huan-Qiang Zhou, Roman Orus, Guifre Vidal

For any D-dimensional quantum lattice system, the fidelity between two ground state many-body wave functions is mapped onto the partition function of a D-dimensional classical stat…