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S. Blundell (2013)
Field Theories of Condensed Matter Physics, 2nd edn., by Eduardo FradkinContemporary Physics, 54
R. Bertlmann, R. Shankar
Anomalies in Quantum Field Theory
L. Huerta, J. Zanelli (2013)
Optical Properties of a -Vacuum
G. Cho, J. Moore (2010)
Topological BF field theory description of topological insulatorsAnnals of Physics, 326
D. Thouless, M. Kohmoto, M. Nightingale, M. Nijs (1992)
Quantized Hall conductance in a two-dimensional periodic potentialPhysical Review Letters, 49
MZ Hasan, CL Kane (2010)
Colloquium: Topological insulatorsRev. Mod. Phys., 82
CL Kane, EJ Mele (2005)
$$\mathbb{Z}_2$$ Z 2 topological order and the quantum spin Hall effectPhys. Rev. Lett., 95
X. Wen (1992)
THEORY OF THE EDGE STATES IN FRACTIONAL QUANTUM HALL EFFECTSInternational Journal of Modern Physics B, 06
X. Qi, T. Hughes, Shoucheng Zhang (2008)
Topological field theory of time-reversal invariant insulatorsPhysical Review B, 78
Zhong Wang, X. Qi, Shoucheng Zhang (2009)
Equivalent topological invariants of topological insulatorsNew Journal of Physics, 12
(2003)
Geometry, Topology and Physics, 2nd edn
X. Qi, Shoucheng Zhang (2010)
Topological insulators and superconductorsReviews of Modern Physics, 83
J. Moore (2010)
The birth of topological insulatorsNature, 464
M Nakahara (2003)
Geometry, Topology and Physics
C. Kane, E. Mele (2005)
Z2 topological order and the quantum spin Hall effect.Physical review letters, 95 14
M. Stone, Ching-Kai Chiu, A. Roy (2010)
Symmetries, dimensions and topological insulators: the mechanism behind the face of the Bott clockJournal of Physics A: Mathematical and Theoretical, 44
B. Bernevig, T. Hughes, Shoucheng Zhang, Shou-Cheng Zhan (2006)
Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum WellsScience, 314
A. Kitaev (2009)
Periodic table for topological insulators and superconductorsarXiv: Mesoscale and Nanoscale Physics
P. Mora, R. Olea, Ricardo Troncoso, J. Zanelli (2006)
Transgression forms and extensions of Chern-Simons gauge theoriesJournal of High Energy Physics, 2006
B. Bernevig, C. Chern, Jiangping Hu, N. Toumbas, Shoucheng Zhang (2002)
Effective Field Theory Description of the Higher Dimensional Quantum Hall LiquidAnnals of Physics, 300
Shoucheng Zhang, T. Hansson, S. Kivelson (1989)
Effective-field-theory model for the fractional quantum Hall effect.Physical review letters, 62 1
E Fradkin (2013)
Field Theories of Condensed Matter Physics
L Huerta, J Zanelli (2012)
Optical properties of a $$\theta $$ θ vacuumPhys. Rev. D, 85
S. Ryu, A. Schnyder, A. Furusaki, A. Ludwig (2009)
Topological insulators and superconductors: tenfold way and dimensional hierarchyNew Journal of Physics, 12
S. Willison, J. Zanelli (2008)
Chern-Simons foamarXiv: High Energy Physics - Theory
X. Wen (1995)
Topological orders and edge excitations in fractional quantum hall statesAdvances in Physics, 44
F. Izaurieta, E. Rodr'iguez, P. Salgado (2005)
On transgression forms and Chern-Simons (super)gravityarXiv: High Energy Physics - Theory
(1984)
Quantized Hall conductance in a two dimensional periodic potential
A. Borowiec, M. Ferraris, M. Francaviglia (2003)
A covariant formalism for Chern–Simons gravityJournal of Physics A, 36
Shoucheng Zhang, Jiangping Hu (2001)
A four-dimensional generalization of the quantum Hall effect.Science, 294 5543
(1989)
Michelsohn, M.L.: Spin geometry
BH Lawson, ML Michelsohn (1989)
Spin geometry
A. Borowiec, L. Fatibene, M. Ferraris, M. Francaviglia (2006)
COVARIANT LAGRANGIAN FORMULATION OF CHERN–SIMONS AND BF THEORIESInternational Journal of Geometric Methods in Modern Physics, 3
Topological phases of matter can be classified by using Clifford algebras through Bott periodicity. We consider effective topological field theories of quantum Hall systems and topological insulators that are Chern–Simons and BF field theories. The edge states of these systems are related to the gauge invariance of the effective actions. For the edge states at the interface of two topological insulators, transgression field theory is proposed as a gauge invariant effective action. Transgression actions of Chern–Simons theories for (2+1)D and (4+1)D and BF theories for (3+1)D are constructed. By using transgression actions, the edge states are written in terms of the bulk connections of effective Chern–Simons and BF theories.
Advances in Applied Clifford Algebras – Springer Journals
Published: Feb 14, 2017
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