Tensor Renormalization Group at Low Temperatures: Discontinuity Fixed Point

C. Fan and F. Y. Wu, “Ising Model with Second-Neighbor Interaction. I. Some Exact Results and an Approximate Solution,” Phys. Rev

1969

Earlier work this paper cites.

M. C. Irwin, “On the stable manifold theorem,” Bulletin of the London Mathematical Society

1970

Earlier work this paper cites.

S. A. Pirogov and Y. G. Sinai, “Phase diagrams of classical lattice systems,” Theor. and Math. Physics

1975

Earlier work this paper cites.

B. Nienhuis and M. Nauenberg, “First-Order Phase Transitions in Renormalization-Group Theory,” Phys. Rev. Lett

1975

Earlier work this paper cites.

S. A. Pirogov and Y. G. Sinai, “Phase diagrams of classical lattice systems (continuation),” Theor. and Math. Physics

1976

Earlier work this paper cites.

R. B. Griffiths and P. A. Pearce, “Mathematical properties of position-space renormalization-group transformations,” J. of Stat. Phys

1979

Earlier work this paper cites.

I. A. Kashapov, “Justification of the renormalization-group method,” Theor. and Math. Phys

1980

Earlier work this paper cites.

Pergamon Press, Oxford, 1982

Y. G. Sinai, Theory of Phase Transitions: Rigorous Results · 1982

Earlier work this paper cites.

R. Kotecký and S. B. Shlosman, “First-order phase transitions in large entropy lattice models,” Comm. Math. Physics

1982

Earlier work this paper cites.

S. N. Isakov, “Nonanalytic features of the first order phase transition in the Ising model,” Comm. Math. Phys

1984

Earlier work this paper cites.

J. Z. Imbrie, “The ground state of the three-dimensional random-field ising model,” Comm. Math. Physics

1985

Earlier work this paper cites.

K. Gawedzki and A. Kupiainen, “Massless lattice ϕ 4 4 \phi^{4}_{4} theory: Rigorous control of a renormalizable asymptotically free model,” Comm. Math. Physics

1985

Cited alongside, same era.

K. Gawędzki, R. Kotecký, and A. Kupiainen, “Coarse-graining approach to first-order phase transitions,” J. Stat. Phys

1987

Cited alongside, same era.

J. Bricmont and A. Kupiainen, “Phase transition in the 3d random field Ising model,” Comm. Math. Phys

1988

Cited alongside, same era.

{https://people.math.harvard.edu/~knill/history/lanford/papers/LanfordDynsys.pdf} . ETH, Zurich,1991

O. Lanford, “Lectures on dynamical systems.” · 1991

Cited alongside, same era.

A. C. D. van Enter, R. Fernández, and A. D. Sokal, “Regularity properties and pathologies of position-space renormalization-group transformations: Scope and limitations of Gibbsian theory,” J. Stat. Phys

1993

Z. Y. Xie, H. C. Jiang, Q. N. Chen, Z. Y. Weng, and T. Xiang, “Second Renormalization of Tensor-Network States,” Phys. Rev. Lett

Original

2009

Later among the works it cites.

Z.-C. Gu and X.-G. Wen, “Tensor-entanglement-filtering renormalization approach and symmetry-protected topological order,” Phys. Rev. B

Original

2009

Later among the works it cites.

H. H. Zhao, Z. Y. Xie, Q. N. Chen, Z. C. Wei, J. W. Cai, and T. Xiang, “Renormalization of tensor-network states,” Phys. Rev. B

Original

2010

Later among the works it cites.

Z. Y. Xie, J. Chen, M. P. Qin, J. W. Zhu, L. P. Yang, and T. Xiang, “Coarse-graining renormalization by higher-order singular value decomposition,” Phys. Rev. B

Original

2012

Later among the works it cites.

Springer Science & Business Media, 2013