Fetching the paper…
Reading the bibliography…
The norms or expectation values of infinite projected entangled-pair states (PEPS) cannot be computed exactly, and approximation algorithms have to be applied.
R. J. Baxter, Dimers on a rectangular lattice, J. Math. Phys. 9
1968
Earlier work this paper cites.
R. J. Baxter, Variational approximations for square lattice models in statistical mechanics, J. Stat. Phys. 19
1978
Earlier work this paper cites.
S. R. White, Density matrix formulation for quantum renormalization groups, Phys. Rev. Lett. 69
1992
Earlier work this paper cites.
T. Nishino, Density matrix renormalization group method for 2D classical models, J. Phys. Soc. Jap. 64
1995
Earlier work this paper cites.
K. Hallberg, Density-matrix algorithm for the calculation of dynamical properties of low-dimensional systems, Phys. Rev. B 52
1995
Earlier work this paper cites.
T. Nishino, K. Okunishi, and M. Kikuchi, Numerical renormalization group at criticality, Phys. Lett. A 213
1996
Earlier work this paper cites.
T. Nishino and K. Okunishi, Corner transfer matrix renormalization group method, J. Phys. Soc. Jap. 65
1996
Earlier work this paper cites.
S. Ramasesha, S. K. Pati, H. R. Krishnamurthy, Z. Shuai, and J. L. Brédas, Symmetrized density-matrix renormalization-group method for excited states of Hubbard models, Phys. Rev. B 54
1996
Earlier work this paper cites.
T. Nishino and K. Okunishi, Corner transfer matrix algorithm for classical renormalization group, J. Phys. Soc. Jap. 66
1997
Earlier work this paper cites.
T. Kühner and S. White, Dynamical correlation functions using the density matrix renormalization group, Phys. Rev. B 60
1999
Earlier work this paper cites.
E. Jeckelmann, Dynamical density-matrix renormalization-group method, Phys. Rev. B 66
2002
Earlier work this paper cites.
F. Verstraete and J. I. Cirac, Renormalization algorithms for quantum-many body systems in two and higher dimensions, arXiv:cond-mat/04070663 (2004)
2004
Earlier work this paper cites.
F. Verstraete and J. I. Cirac, Matrix product states represent ground states faithfully, Phys. Rev. B 73
2006
Earlier work this paper cites.
N. Schuch, M. M. Wolf, F. Verstraete, and J. I. Cirac, Computational complexity of projected entangled pair states, Phys. Rev. Lett. 98
2007
Earlier work this paper cites.
L. Tagliacozzo, T. R. de Oliveira, S. Iblisdir, and J. I. Latorre, Scaling of entanglement support for matrix product states, Phys. Rev. B 78
2008
Earlier work this paper cites.
H. C. Jiang, Z. Y. Weng, and T. Xiang, Accurate determination of tensor network state of quantum lattice models in two dimensions, Phys. Rev. Lett. 101
2008
Earlier work this paper cites.
J. Jordan, R. Orús, G. Vidal, F. Verstraete, and J. I. Cirac, Classical simulation of infinite-size quantum lattice systems in two spatial dimensions, Phys. Rev. Lett. 101
2008
Earlier work this paper cites.
R. Orús and G. Vidal, Infinite time-evolving block decimation algorithm beyond unitary evolution, Phys. Rev. B 78
2008
Earlier work this paper cites.
S. R. White and I. Affleck, Spectral function for the S=1 Heisenberg antiferromagetic chain, Phys. Rev. B 77
2008
Earlier work this paper cites.
R. Pereira, S. White, and I. Affleck, Exact Edge Singularities and Dynamical Correlations in Spin-1/2 Chains, Phys. Rev. Lett. 100
2008
Earlier work this paper cites.
F. Pollmann, S. Mukerjee, A. M. Turner, and J. E. Moore, Theory of Finite-Entanglement Scaling at One-Dimensional Quantum Critical Points, Phys. Rev. Lett. 102
2009
Earlier work this paper cites.
R. Orús and G. Vidal, Simulation of two-dimensional quantum systems on an infinite lattice revisited: Corner transfer matrix for tensor contraction, Phys. Rev. B 80
2009
Earlier work this paper cites.
A. Weichselbaum, F. Verstraete, U. Schollwöck, J. I. Cirac, and J. von Delft, Variational matrix-product-state approach to quantum impurity models, Phys. Rev. B 80
2009
Cited alongside, same era.
T. Barthel, U. Schollwöck, and S. White, Spectral functions in one-dimensional quantum systems at finite temperature using the density matrix renormalization group, Phys. Rev. B 79
2009
Cited alongside, same era.
P. Corboz, J. Jordan, and G. Vidal, Simulation of fermionic lattice models in two dimensions with projected entangled-pair states: Next-nearest neighbor hamiltonians, Phys. Rev. B 82
2010
Cited alongside, same era.
U. Schollwöck, The density-matrix renormalization group in the age of matrix product states, Ann. Phys. 326
2011
Cited alongside, same era.
B. Bauer, P. Corboz, R. Orús, and M. Troyer, Implementing global abelian symmetries in projected entangled-pair state algorithms, Phys. Rev. B 83
D. Poilblanc and M. Mambrini, Quantum critical phase with infinite projected entangled paired states, Phys. Rev. B 96
2017
Later among the works it cites.
B.-X. Zheng, C.-M. Chung, P. Corboz, G. Ehlers, M.-P. Qin, R. M. Noack, H. Shi, S. R. White, S. Zhang, and G. K.-L. Chan, Stripe order in the underdoped region of the two-dimensional Hubbard model, Science 358
2017
Later among the works it cites.
M. Rader and A. M. Läuchli, Finite correlation length scaling in lorentz-invariant gapless ipeps wave functions, Phys. Rev. X 8
2018
Later among the works it cites.
P. Corboz, P. Czarnik, G. Kapteijns, and L. Tagliacozzo, Finite correlation length scaling with infinite projected entangled-pair states, Phys. Rev. X 8
2018
Later among the works it cites.
M. T. Fishman, L. Vanderstraeten, V. Zauner-Stauber, J. Haegeman, and F. Verstraete, Faster methods for contracting infinite two-dimensional tensor networks, Phys. Rev. B 98
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2011
Cited alongside, same era.
A. Holzner, A. Weichselbaum, I. P. McCulloch, U. Schollwöck, and J. von Delft, Chebyshev matrix product state approach for spectral functions, Phys. Rev. B 83
2011
Cited alongside, same era.
J. Kjäll, F. Pollmann, and J. Moore, Bound states and E 8 \mathrm{E}_{8} symmetry effects in perturbed quantum Ising chains, Phys. Rev. B 83
2011
Cited alongside, same era.
B. Pirvu, G. Vidal, F. Verstraete, and L. Tagliacozzo, Matrix product states for critical spin chains: Finite-size versus finite-entanglement scaling, Phys. Rev. B 86
2012
Cited alongside, same era.
P. E. Dargel, A. Wöllert, A. Honecker, I. P. McCulloch, U. Schollwöck, and T. Pruschke, Lanczos algorithm with matrix product states for dynamical correlation functions, Phys. Rev. B 85
2012
Cited alongside, same era.
H. N. Phien, G. Vidal, and I. P. McCulloch, Infinite boundary conditions for matrix product state calculations, Phys. Rev. B 86
2012
Cited alongside, same era.
L. Seabra and F. Pollmann, Exotic Ising dynamics in a Bose-Hubbard model, Phys. Rev. B 88
2013
Cited alongside, same era.
A. Milsted, J. Haegeman, T. J. Osborne, and F. Verstraete, Variational matrix product ansatz for nonuniform dynamics in the thermodynamic limit, Phys. Rev. B 88
2013
Cited alongside, same era.
2018
Later among the works it cites.
J.-Y. Chen, L. Vanderstraeten, S. Capponi, and D. Poilblanc, Non-abelian chiral spin liquid in a quantum antiferromagnet revealed by an iPEPS study, Phys. Rev. B 98
2018
Later among the works it cites.
A. Hackenbroich, A. Sterdyniak, and N. Schuch, Interplay of SU(2), point group, and translational symmetry for projected entangled pair states: Application to a chiral spin liquid, Phys. Rev. B 98
2018
Later among the works it cites.
V. Zauner-Stauber, L. Vanderstraeten, M. T. Fishman, F. Verstraete, and J. Haegeman, Variational optimization algorithms for uniform matrix product states, Phys. Rev. B 97
2018
Later among the works it cites.
B. Vanhecke, J. Haegeman, K. Van Acoleyen, L. Vanderstraeten, and F. Verstraete, Scaling hypothesis for matrix product states, Phys. Rev. Lett. 123
2019
Later among the works it cites.
P. Czarnik and P. Corboz, Finite correlation length scaling with infinite projected entangled pair states at finite temperature, Phys. Rev. B 99
2019
Later among the works it cites.
I. Kurecic, L. Vanderstraeten, and N. Schuch, Gapped SU(3) spin liquid with Z 3 \mathrm{Z}_{3} topological order, Phys. Rev. B 99
2019
Later among the works it cites.
O. Gauthé, S. Capponi, and D. Poilblanc, SU(4) topological resonating valence bond spin liquid on the square lattice, Phys. Rev. B 99
2019
Later among the works it cites.
H.-J. Liao, J.-G. Liu, L. Wang, and T. Xiang, Differentiable programming tensor networks, Phys. Rev. X 9
2019
Later among the works it cites.
B. Ponsioen, S. S. Chung, and P. Corboz, Period 4 stripe in the extended two-dimensional Hubbard model, Phys. Rev. B 100
2019
Later among the works it cites.
J.-Y. Chen, S. Capponi, A. Wietek, M. Mambrini, N. Schuch, and D. Poilblanc, SU ( 3 ) 1 \mathrm{SU}(3{)}_{1} chiral spin liquid on the square lattice: A view from symmetric projected entangled pair states, Phys. Rev. Lett. 125
2020
Later among the works it cites.
M. Hauru, M. Van Damme, and J. Haegeman, Riemannian optimization of isometric tensor networks, SciPost Phys. 10
2020
Later among the works it cites.
A. Nietner, B. Vanhecke, F. Verstraete, J. Eisert, and L. Vanderstraeten, Efficient variational contraction of two-dimensional tensor networks with a non-trivial unit cell, Quantum 4
2020
Later among the works it cites.
B. Ponsioen and P. Corboz, Excitations with projected entangled pair states using the corner transfer matrix method, Phys. Rev. B 101
2020
Later among the works it cites.
J. Hasik, D. Poilblanc, and F. Becca, Investigation of the Néel phase of the frustrated Heisenberg antiferromagnet by differentiable symmetric tensor networks, SciPost Phys. 10
2021
Closest in time.
W.-L. Tu, H.-K. Wu, N. Schuch, N. Kawashima, and J.-Y. Chen, Generating function for tensor network diagrammatic summation, Phys. Rev. B 103
2021
Closest in time.