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June 2010 Boundary states and edge currents for free fermions
Marianne Leitner, Werner Nahm
Adv. Theor. Math. Phys. 14(3): 899-910 (June 2010).


We calculate the ground state current densities for $(2 + 1)$-dimensional free fermion theories with local, translationally invariant boundary states. Deformations of the bulk wave functions close to the edge and boundary states both may cause edge current divergencies, which have to cancel in realistic systems. This yields restrictions on the parameters of quantum field theories which can arise as low-energy limits of solid-state systems. Some degree of Lorentz invariance for boosts parallel to the boundary can be recovered, when the cutoff is removed.


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Marianne Leitner. Werner Nahm. "Boundary states and edge currents for free fermions." Adv. Theor. Math. Phys. 14 (3) 899 - 910, June 2010.


Published: June 2010
First available in Project Euclid: 1 July 2011

zbMATH: 1228.81249
MathSciNet: MR2801413

Rights: Copyright © 2010 International Press of Boston

Vol.14 • No. 3 • June 2010
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