Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sharp Superconductor-Insulator Transition in Short Wires   Recent experiments on short MoGe nanowires show a sharp
superconductor-insulator transition tuned by the normal state resistance of the
wire, with a critical resistance of $R_c\approx R_Q= h/(4e^2)$. These results
are at odds with a broad range of theoretical work on Josephson-like systems
that predicts a smooth transition, tuned by the value of the resistance that
shunts the junction. We develop a self-consistent renormalization group
treatment of interacting phase-slips and their dual counterparts, correlated
cooper pair tunneling, beyond the dilute approximation. This analysis leads to
a very sharp transition with a critical resistance of $R_Q$. The addition of
the quasi-particles' resistance at finite temperature leads to a quantitative
agreement with the experimental results. This self-consistent renormalization
group method should also be applicable to other physical systems that can be
mapped onto similar sine-Gordon models, in the previously inaccessible
intermediate-coupling regime.

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The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
2
The categories of this paper are: math
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
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The categories of this paper are: eess
12
The categories of this paper are: nucl-th
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The categories of this paper are: supr-con
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The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
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The categories of this paper are: comp-gas