Fetching the paper…
Reading the bibliography…
We derive a bulk-boundary correspondence for three-dimensional (3D) symmetry-protected topological (SPT) phases with unitary symmetries.
J. B. Kogut, “An introduction to lattice gauge theory and spin systems,” Rev. Mod. Phys. 51
1979
Earlier work this paper cites.
B. I. Halperin, “Quantized hall conductance, current-carrying edge states, and the existence of extended states in a two-dimensional disordered potential,” Phys. Rev. B 25
1982
Earlier work this paper cites.
F. D. M. Haldane, “Nonlinear field theory of large-spin heisenberg antiferromagnets: Semiclassically quantized solitons of the one-dimensional easy-axis néel state,” Phys. Rev. Lett. 50
1983
Earlier work this paper cites.
X.-G. Wen, “Topological orders and edge excitations in fractional quantum Hall states,” Adv. Phys. 44
1995
Earlier work this paper cites.
C. L. Kane and E. J. Mele, “ Z 2 {Z}_{2} topological order and the quantum spin hall effect,” Phys. Rev. Lett. 95
2005
Earlier work this paper cites.
C. Xu and J. E. Moore, “Stability of the quantum spin hall effect: Effects of interactions, disorder, and ℤ 2 {\mathbb{Z}}_{2} topology,” Phys. Rev. B 73
2006
Earlier work this paper cites.
C. Wu, B. A. Bernevig, and S.-C. Zhang, “Helical liquid and the edge of quantum spin hall systems,” Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
A. Kitaev, “Anyons in an exactly solved model and beyond,” Annals of Physics 321
2006
Earlier work this paper cites.
Z.-C. Gu and X.-G. Wen, “Tensor-entanglement-filtering renormalization approach and symmetry-protected topological order,” Phys. Rev. B 80
2009
Earlier work this paper cites.
F. Pollmann, A. M. Turner, E. Berg, and M. Oshikawa, “Entanglement spectrum of a topological phase in one dimension,” Phys. Rev. B 81
2010
Earlier work this paper cites.
M. Z. Hasan and C. L. Kane, “ Colloquium
2010
Earlier work this paper cites.
H. Bombin, “Topological order with a twist: Ising anyons from an abelian model,” Phys. Rev. Lett. 105
2010
Earlier work this paper cites.
P. Etingof, N. Nikshych, and V. Ostrik, “Fusion categories and homotopy theory,” Quantum Topology 1
2010
Earlier work this paper cites.
L. Fidkowski and A. Kitaev, “Topological phases of fermions in one dimension,” Phys. Rev. B 83
2011
Earlier work this paper cites.
N. Schuch, D. Pérez-García, and I. Cirac, “Classifying quantum phases using matrix product states and projected entangled pair states,” Phys. Rev. B 84
2011
Earlier work this paper cites.
X.-L. Qi and S.-C. Zhang, “Topological insulators and superconductors,” Rev. Mod. Phys. 83
2011
Cited alongside, same era.
M. Levin and Z.-C. Gu, “Braiding statistics approach to symmetry-protected topological phases,” Phys. Rev. B 86
2012
Cited alongside, same era.
M. Levin and A. Stern, “Classification and analysis of two-dimensional abelian fractional topological insulators,” Phys. Rev. B 86
2012
Cited alongside, same era.
Y.-M. Lu and A. Vishwanath, “Theory and classification of interacting integer topological phases in two dimensions: A chern-simons approach,” Phys. Rev. B 86
2012
Cited alongside, same era.
X. Chen, Z.-C. Gu, Z.-X. Liu, and X.-G. Wen, “Symmetry protected topological orders and the group cohomology of their symmetry group,” Phys. Rev. B 87
2013
Cited alongside, same era.
F. J. Burnell, X. Chen, L. Fidkowski, and A. Vishwanath, “Exactly soluble model of a three-dimensional symmetry-protected topological phase of bosons with surface topological order,” Phys. Rev. B 90
2014
Later among the works it cites.
X. Chen, L. Fidkowski, and A. Vishwanath, “Symmetry enforced non-abelian topological order at the surface of a topological insulator,” Phys. Rev. B 89
2014
Later among the works it cites.
2014
Later among the works it cites.
C. Wang and T. Senthil, “Interacting fermionic topological insulators/superconductors in three dimensions,” Phys. Rev. B 89
2014
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
A. Vishwanath and T. Senthil, “Physics of three-dimensional bosonic topological insulators: Surface-deconfined criticality and quantized magnetoelectric effect,” Phys. Rev. X 3
2013
Cited alongside, same era.
C. Wang and T. Senthil, “Boson topological insulators: A window into highly entangled quantum phases,” Phys. Rev. B 87
2013
Cited alongside, same era.
P. Bonderson, C. Nayak, and X.-L. Qi, “A time-reversal invariant topological phase at the surface of a 3d topological insulator,” Journal of Statistical Mechanics: Theory and Experiment 2013
2013
Cited alongside, same era.
C. Wang, A. C. Potter, and T. Senthil, “Gapped symmetry preserving surface state for the electron topological insulator,” Phys. Rev. B 88
2013
Cited alongside, same era.
L. Fidkowski, X. Chen, and A. Vishwanath, “Non-abelian topological order on the surface of a 3d topological superconductor from an exactly solved model,” Phys. Rev. X 3
2013
Cited alongside, same era.
C. Xu and T. Senthil, “Wave functions of bosonic symmetry protected topological phases,” Phys. Rev. B 87
2013
Cited alongside, same era.
M. A. Metlitski, C. L. Kane, and M. P. A. Fisher, “Bosonic topological insulator in three dimensions and the statistical witten effect,” Phys. Rev. B 88
2013
Cited alongside, same era.
2014
Later among the works it cites.
C. Wang and M. Levin, “Braiding statistics of loop excitations in three dimensions,” Phys. Rev. Lett. 113
2014
Later among the works it cites.
S. Jiang, A. Mesaros, and Y. Ran, “Generalized modular transformations in ( 3 + 1 ) D (3+1)\mathrm{D} topologically ordered phases and triple linking invariant of loop braiding,” Phys. Rev. X 4
2014
Later among the works it cites.
2014
Later among the works it cites.
G. Y. Cho, J. C. Y. Teo, and S. Ryu, “Conflicting symmetries in topologically ordered surface states of three-dimensional bosonic symmetry protected topological phases,” Phys. Rev. B 89
2014
Later among the works it cites.
X. Chen, F. J. Burnell, A. Vishwanath, and L. Fidkowski, “Anomalous symmetry fractionalization and surface topological order,” Phys. Rev. X 5
2015
Closest in time.
M. A. Metlitski, C. L. Kane, and M. P. A. Fisher, “Symmetry-respecting topologically ordered surface phase of three-dimensional electron topological insulators,” Phys. Rev. B 92
2015
Closest in time.
T. Senthil, “Symmetry-Protected Topological Phases of Quantum Matter,” Annual Review of Condensed Matter Physics 6
2015
Closest in time.
C. Wang and M. Levin, “Topological invariants for gauge theories and symmetry-protected topological phases,” Phys. Rev. B 91
2015
Closest in time.
J. C. Wang, L. H. Santos, and X.-G. Wen, “Bosonic anomalies, induced fractional quantum numbers, and degenerate zero modes: The anomalous edge physics of symmetry-protected topological states,” Phys. Rev. B 91
2015
Closest in time.