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Duality between coherent quantum phase slip and Josephson junction in a nanosheet determined by the dual Hamiltonian method

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arxiv 2004.09767 v4 pith:QTHT6OCO submitted 2020-04-21 cond-mat.supr-con hep-th

Duality between coherent quantum phase slip and Josephson junction in a nanosheet determined by the dual Hamiltonian method

classification cond-mat.supr-con hep-th
keywords dualdualitymethodtheorycoherenthamiltonianjosephsonjunction
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The duality between coherent quantum phase slip and Josephson junction in nanosheets was investigated using the dual Hamiltonian method. This is equivalent to the duality between superconductivity and superinsulator in the 2 + 1 dimension at zero temperature. This method proved to be reliable within the Villain approximation. The possibility of the dual Ginzburg-Landau theory, which is the phenomenology of superinsulators and the dual BCS theory, which is a microscopic theory, is also shown.

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