Cond Mat 0010440

Certain one dimensional fermi systems have an energy gap in the bulk spectrum while boundary states are described by one majorana operator per boundary point.

Cond mat 0010440.

Kitaev microsoft research microsoft 113 2032 one microsoft way redmond wa 98052 u s a. First of all his proof for the definition of the majorana number is not so clear to me. The ends of one dimensional p ip superconductors have long been predicted to possess localized majorana fermion modes a. Arxiv cond mat 0010440v2 cond mat mes hall 30 oct 2000 unpaired majorana fermions in quantum wires alexei yu.

Such systems can be used as qubits since they are intrinsically immune to decoherence. Such systems can be used as qubits since they are intrinsically immune to decoherence. First of all his proof for the definition of the majorana number is not so clear to me. Certain one dimensional fermi systems have an energy gap in the bulk spectrum while boundary states are described by one majorana operator per boundary point.

Effects of long range hopping broken time reversal symmetry and potential landscapes. Unpaired majorana fermions in quantum wires. A finite system of length l possesses two ground states with an energy difference proportional to exp l l 0 and different fermionic parities. Arxiv cond mat 0010440 cond mat submitted on 27 oct 2000 last revised 30 oct 2000 this version v2 title.

B 26 4421 1982 26. For 3d metallic leads with say rs 2 e g. I have some questions about the kitaev toy model for majorana fermions arxiv cond mat 0010440. Certain one dimensional fermi systems have an energy gap in the bulk spectrum while boundary states are described by one majorana operator per boundary point.

Plenum press 1993 25. Rcu s 2 67 the loss of. Alexei kitaev microsoft research download pdf. Majorana fermions in superconducting wires.

Giuliani g f quinn j j phys. After a more accurate numerical evaluation of the exact rpa self energy we find for gaas zf 0 691155 27. We show that majorana end states are robust beyond the strict 1d single channel limit so long as the sample width is not much larger than the superconducting coherence length and they exist when an odd number of transverse quantization.