nLab Charles Kane

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Selected writings

Observation that graphene appears as a topological insulator when its spin-orbit coupling is resolved, due to a quantum spin Hall effect:

• Charles Kane, Eugene Mele, Quantum Spin Hall Effect in Graphene, Phys. Rev. Lett. 95, 226801 (2005) (arXiv:cond-mat/0411737, doi:10.1103/PhysRevLett.95.226801)

Characterization of the resulting topological phase of matter via introduction of the Fu-Kane-Mele invariant:

• Charles Kane, Eugene Mele, $Z_2$ Topological Order and the Quantum Spin Hall Effect, Phys. Rev. Lett. 95 (2005) 146802 (doi:10.1103/PhysRevLett.95.146802)

• Liang Fu, Charles L. Kane: Time Reversal Polarization and a $\mathbb{Z}_2$ Adiabatic Spin Pump, Phys. Rev. B 74 (2006) 195312 [arXiv:cond-mat/0606336, doi:10.1103/PhysRevB.74.195312]

Further on topological insulators:

• Liang Fu, Charles Kane, Eugene Mele, Topological Insulators in Three Dimensions, Phys. Rev. Lett. 98 (2007) 106803 $[$doi:10.1103/PhysRevLett.98.106803$]$

• M. Zahid Hasan, Charles Kane, Colloquium: Topological insulators, Rev. Mod. Phys. 82 (2010) 3045 $[$doi:10.1103/RevModPhys.82.3045$]$

On realizing Majorana zero modes via topological insulators:

• Liang Fu, Charles Kane, Superconducting Proximity Effect and Majorana Fermions at the Surface of a Topological Insulator, Phys. Rev. Lett. 100 (2008) 096407 [doi:10.1103/PhysRevLett.100.096407]

On topological crystalline insulators and their classification by equivariant K-theory:

• Jorrit Kruthoff, Jan de Boer, Jasper van Wezel, Charles L. Kane, Robert-Jan Slager, Topological Classification of Crystalline Insulators through Band Structure Combinatorics, Phys. Rev. X 7 (2017) 041069 $[$doi:10.1103/PhysRevX.7.041069$]$

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