119 research outputs found
Fine Structure of Matrix Darboux-Toda Integrable Mapping
We show here that matrix Darboux-Toda transformation can be written as a
product of a number of mappings. Each of these mappings is a symmetry of the
matrix nonlinear Shrodinger system of integro-differential equations. We thus
introduce a completely new type of discrete transformations for this system.
The discrete symmetry of the vector nonlinear Shrodinger system is a particular
realization of these mappings.Comment: 5 pages, no figure
Interaction-mediated surface state instability in disordered three-dimensional topological superconductors with spin SU(2) symmetry
We show that arbitrarily weak interparticle interactions destabilize the
surface states of 3D topological superconductors with spin SU(2) invariance
(symmetry class CI), in the presence of non-magnetic disorder. The conduit for
the instability is disorder-induced wavefunction multifractality. We argue that
time-reversal symmetry breaks spontaneously at the surface, so that
topologically-protected states do not exist for this class. The
interaction-stabilized surface phase is expected to exhibit ferromagnetic
order, or to reside in an insulating plateau of the spin quantum Hall effect.Comment: v2: 5+3 pages, 1 figure; expanded introduction, added background on
topological superconductors and multifractality, technical details relegated
to sup info (published version
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