Parity effect in a small superconducting grain: A rigorous result

Guang Shan Tian; Lei Han Tang

doi:10.1103/PhysRevB.58.12333

Parity effect in a small superconducting grain: A rigorous result

Guang Shan Tian
, Lei Han Tang

Department of Physics

Research output: Contribution to journal › Journal article › peer-review

10 Citations (Scopus)

Abstract

The parity effect in an ultrasmall superconducting grain is examined. By applying a generalized version of Lieb’s spin-reflection positivity technique, we show rigorously that the parity parameter (Formula presented) is nonvanishing in such a system. A positive lower bound for (Formula presented) is derived.

Original language	English
Pages (from-to)	12333-12337
Number of pages	5
Journal	Physical Review B
Volume	58
Issue number	18
DOIs	https://doi.org/10.1103/PhysRevB.58.12333
Publication status	Published - 1998

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10.1103/PhysRevB.58.12333

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title = "Parity effect in a small superconducting grain: A rigorous result",

abstract = "The parity effect in an ultrasmall superconducting grain is examined. By applying a generalized version of Lieb{\textquoteright}s spin-reflection positivity technique, we show rigorously that the parity parameter (Formula presented) is nonvanishing in such a system. A positive lower bound for (Formula presented) is derived.",

author = "Tian, \{Guang Shan\} and Tang, \{Lei Han\}",

note = "One of us (G.S.T) would like to thank the Croucher Foundation for financial support and the Physics Department, Hong Kong Baptist University for their hospitality. This work was also partially supported by the Chinese National Science Foundation under Grant No. 19574002. ",

year = "1998",

doi = "10.1103/PhysRevB.58.12333",

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pages = "12333--12337",

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T1 - Parity effect in a small superconducting grain

T2 - A rigorous result

AU - Tian, Guang Shan

AU - Tang, Lei Han

N1 - One of us (G.S.T) would like to thank the Croucher Foundation for financial support and the Physics Department, Hong Kong Baptist University for their hospitality. This work was also partially supported by the Chinese National Science Foundation under Grant No. 19574002.

PY - 1998

Y1 - 1998

N2 - The parity effect in an ultrasmall superconducting grain is examined. By applying a generalized version of Lieb’s spin-reflection positivity technique, we show rigorously that the parity parameter (Formula presented) is nonvanishing in such a system. A positive lower bound for (Formula presented) is derived.

AB - The parity effect in an ultrasmall superconducting grain is examined. By applying a generalized version of Lieb’s spin-reflection positivity technique, we show rigorously that the parity parameter (Formula presented) is nonvanishing in such a system. A positive lower bound for (Formula presented) is derived.

UR - https://www.scopus.com/pages/publications/0001645718

U2 - 10.1103/PhysRevB.58.12333

DO - 10.1103/PhysRevB.58.12333

M3 - Journal article

AN - SCOPUS:0001645718

SN - 2469-9950

VL - 58

SP - 12333

EP - 12337

JO - Physical Review B

JF - Physical Review B

IS - 18

ER -

Parity effect in a small superconducting grain: A rigorous result

Abstract

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