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- In superconductivity, Homes's law is an empirical relation that states that a superconductor's critical temperature (Tc) is proportional to the strength of the superconducting state for temperatures well below Tc close to zero temperature (also referred to as the fully formed superfluid density, ) multiplied by the electrical resistivity measured just above the critical temperature. In cuprate high-temperature superconductors the relation follows the form , or alternatively . Many novel superconductors are anisotropic, so the resistivity and the superfluid density are tensor quantities; the superscript denotes the crystallographic direction along which these quantities are measured.Note that this expression assumes that the conductivity and temperature have both been recast in unitsof cm−1 (or s−1), and that the superfluid density has units of cm−2 (or s−2); the constant is dimensionless. The expected form for a BCS dirty-limit superconductor has slightly larger numerical constant of ~8.1. The law is named for physicist Christopher Homes and was first presented in the July 29, 2004 edition of Nature, and was the subject of a News and Views article by Jan Zaanen in the same issue in which he speculated that the high transition temperatures observed in the cuprate superconductors are because the metallic states in these materials are as viscous aspermitted by the laws of quantum physics. A more detailed version of this scaling relation subsequently appeared inPhysical Review B in 2005, in which it was argued that any material that falls on the scaling line is likely in the dirty limit (superconducting coherence length ξ0 is much greater than the normal-state mean-free path l,ξ0≫ l); however, a paper by Vladimir Kogan in Physical Review B in 2013 has shown that the scaling relation is valid even when ξ0~ l, suggesting that only materials in the clean limit (ξ0≪ l) will fall off of this scaling line. Francis Pratt and Stephen Blundell have argued that Homes's law is violated in the organic superconductors. This work was first presented in Physical Review Letters in March 2005. On the other hand, it has been recently demonstrated by Sasa Dordevic and coworkers that if the dc conductivity and the superfluid density are measured on the same sample at the same time using either infrared or microwave impedance spectroscopy, then the organic superconductors do indeed fall on the universal scaling line, along with a number of other exotic superconductors. This work was published in Scientific Reports in 2013. (en)
- 초전도의 홈즈 법칙은 초전도체의 천이온도가 온도 0(즉, 초유체 밀도)에서 초전도 상태의 세기 곱하기 천이 온도 이상에서의 전기저항)에 비례한다는 주장이다. 법칙은 물리학자 의 성을 따서 지어졌다. 그리고 2004년 7월 29일 처음 네이처지에 발표되었다. 홈즈법칙은 천이온도 이상의 저항이 크므로 산화 구리 초전도체가 높은 천이 온도를 지님을 예측하였다. 프란시스 프래트와 스테펜 블룬델은 홈즈 법칙이 유기 초전도체에서는 위배됨을 보였다. 이 작업은 2005년 3월 피지컬 리뷰 레터에 발표되었다. (ko)
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- 초전도의 홈즈 법칙은 초전도체의 천이온도가 온도 0(즉, 초유체 밀도)에서 초전도 상태의 세기 곱하기 천이 온도 이상에서의 전기저항)에 비례한다는 주장이다. 법칙은 물리학자 의 성을 따서 지어졌다. 그리고 2004년 7월 29일 처음 네이처지에 발표되었다. 홈즈법칙은 천이온도 이상의 저항이 크므로 산화 구리 초전도체가 높은 천이 온도를 지님을 예측하였다. 프란시스 프래트와 스테펜 블룬델은 홈즈 법칙이 유기 초전도체에서는 위배됨을 보였다. 이 작업은 2005년 3월 피지컬 리뷰 레터에 발표되었다. (ko)
- In superconductivity, Homes's law is an empirical relation that states that a superconductor's critical temperature (Tc) is proportional to the strength of the superconducting state for temperatures well below Tc close to zero temperature (also referred to as the fully formed superfluid density, ) multiplied by the electrical resistivity measured just above the critical temperature. In cuprate high-temperature superconductors the relation follows the form , or alternatively . (en)
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- Homes's law (en)
- 홈즈 법칙 (ko)
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