Fractional Periodicity of Persistent Currents: A Signature of Broken Internal Symmetry

Details Fractional Periodicity of Persistent Currents: A Signature of Broken Internal Symmetry Fractional Periodicity of Persistent Currents: A Signature of Broken Internal Symmetry

2001-12-12

arxiv.org/abs/cond-mat/0112224v4

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

minor corrections

Scientific paper

We show from the symmetries of the many body Hamiltonian, cast into the form of the Heisenberg (spin) Hamiltonian, that the fractional periodicities of persistent currents are due to the breakdown of internal symmetry and the spin Hamiltonian holds the explanation to this transition. Numerical diagonalizations are performed to show this explicitely. Persistent currents therefore, provide an easy way to experimentally verify broken internal symmetry in electronic systems.

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