Fetching the paper…
Reading the bibliography…
This paper is concerned with the physics of parametrized gapped quantum many-body systems, which can be viewed as a generalization of conventional topological phases of matter.
Edwin H. Spanier, Algebraic Topology (Springer-Verlag, 1966)
1966
Earlier work this paper cites.
B. Simon, “Holonomy, the quantum adiabatic theorem, and Berry’s phase,” Phys. Rev. Lett. 51
1983
Earlier work this paper cites.
D. J. Thouless, “Quantization of particle transport,” Phys. Rev. B 27
1983
Earlier work this paper cites.
Michael V. Berry, “Quantal phase factors accompanying adiabatic changes,” Proc. R. Soc. Lond. A 392
1984
Earlier work this paper cites.
Q Niu and D J Thouless, “Quantised adiabatic charge transport in the presence of substrate disorder and many-body interaction,” Journal of Physics A: Mathematical and General 17
1984
Earlier work this paper cites.
2003
Earlier work this paper cites.
John Roe, Lectures on coarse geometry , 31 (American Mathematical Soc., 2003)
2003
Earlier work this paper cites.
Alexei Kitaev, “Periodic table for topological insulators and superconductors,” AIP Conference Proceedings 1134
2009
Earlier work this paper cites.
M. Z. Hasan and C. L. Kane, “Colloquium: Topological insulators,” Rev. Mod. Phys. 82
2010
Earlier work this paper cites.
Jeffrey C. Y. Teo and C. L. Kane, “Topological defects and gapless modes in insulators and superconductors,” Phys. Rev. B 82
2010
Earlier work this paper cites.
M. Zahid Hasan and Joel E. Moore, “Three-dimensional topological insulators,” Annual Review of Condensed Matter Physics 2
2011
Earlier work this paper cites.
Xiao-Liang Qi and Shou-Cheng Zhang, “Topological insulators and superconductors,” Rev. Mod. Phys. 83
2011
Earlier work this paper cites.
A. Kitaev, “Toward a topological classification of many-body quantum states with short-range entanglement,” (2011), talk at Simons Center for Geometry and Physics http://scgp.stonybrook.edu/archives/1087
2011
Earlier work this paper cites.
Xie Chen, Zheng-Cheng Gu, and Xiao-Gang Wen, “Classification of gapped symmetric phases in one-dimensional spin systems,” Phys. Rev. B 83
2011
Earlier work this paper cites.
2013
Cited alongside, same era.
A. Kitaev, “On the classification of short-range entangled states,” (2013), talk at Simons Center for Geometry and Physics http://scgp.stonybrook.edu/archives/16180
2013
Cited alongside, same era.
T. Senthil, “Symmetry-protected topological phases of quantum matter,” Annual Review of Condensed Matter Physics 6
2015
Cited alongside, same era.
A. Kitaev, “Homotopy-theoretic approach to spt phases in action: Z 1 6 Z_{1}6 classification of three-dimensional superconductors,” (2015), talk at Institute for Pure and Applied Mathematics http://www.ipam.ucla.edu/programs/workshops/symmetry-and-topology-in-quantum-matter/
2015
Cited alongside, same era.
Haruki Watanabe, “Insensitivity of bulk properties to the twisted boundary condition,” Physical Review B 98
2018
Later among the works it cites.
Charles Zhaoxi Xiong, “Minimalist approach to the classification of symmetry protected topological phases,” Journal of Physics A: Mathematical and Theoretical 51
2018
Later among the works it cites.
2018
Later among the works it cites.
Rahul M. Nandkishore and Michael Hermele, “Fractons,” Annual Review of Condensed Matter Physics 10
2019
Later among the works it cites.
A. Kitaev, “Differential forms on the space of statistical mechanics models,” (2019), talk at University of Texas Austin https://web.ma.utexas.edu/topqft/talkslides/kitaev.pdf
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Anton Kapustin, Ryan Thorngren, Alex Turzillo, and Zitao Wang, “Fermionic symmetry protected topological phases and cobordisms,” Journal of High Energy Physics 2015
2015
Cited alongside, same era.
Edward Witten, “Fermion path integrals and topological phases,” Rev. Mod. Phys. 88
2016
Cited alongside, same era.
2016
Cited alongside, same era.
Xiao-Gang Wen, “Colloquium: Zoo of quantum-topological phases of matter,” Rev. Mod. Phys. 89
2017
Cited alongside, same era.
2017
Cited alongside, same era.
2017
Cited alongside, same era.
2017
Cited alongside, same era.
P. Naaijkens, Quantum spin systems on infinite lattices , Lecture Notes in Physics, Vol. 933 (Springer, 2017)
2017
Cited alongside, same era.
2019
Later among the works it cites.
Davide Gaiotto and Theo Johnson-Freyd, “Symmetry protected topological phases and generalized cohomology,” Journal of High Energy Physics 2019
2019
Later among the works it cites.
Fenner Harper, Rahul Roy, Mark S. Rudner, and S.L. Sondhi, “Topology and broken symmetry in floquet systems,” Annual Review of Condensed Matter Physics 11
2020
Later among the works it cites.
Michael Pretko, Xie Chen, and Yizhi You, “Fracton phases of matter,” Int. J. Mod. Phys. A 35
2020
Later among the works it cites.
Po-Shen Hsin, Anton Kapustin, and Ryan Thorngren, “Berry phase in quantum field theory: Diabolical points and boundary phenomena,” Physical Review B 102
2020
Later among the works it cites.
M. Hermele, “Families of gapped systems and quantum pumps,” (2021), talk at Harvard CMSA https://www.youtube.com/watch?v=wtaC0tqXZMU&t=5300s
2021
Closest in time.
2021
Closest in time.
Daniel S. Freed and Michael J. Hopkins, “Reflection positivity and invertible topological phases,” Geom. Topol. 25
2021
Closest in time.
Anton Kapustin, Nikita Sopenko, and Bowen Yang, “A classification of invertible phases of bosonic quantum lattice systems in one dimension,” Journal of Mathematical Physics 62
2021
Closest in time.