Physics of complex metals: Temperature-dependent resistivities in ionic superconductors and stable quasicrystals

Journal Article · Thu Oct 01 00:00:00 EDT 1992 · Physical Review, B: Condensed Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.46.8542· OSTI ID:6996670

Phillips, J C ^[1]

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1. AT T Bell Laboratories, Murray Hill, New Jersey 07974 (United States)

Elementary phase-space arguments for electron-phonon scattering in metals give the temperature-dependent resistivity {rho}({ital T}){similar to}{ital T}{sup {ital n}} with {ital n}{ge}3. Similarly for electron-electron scattering {ital n}=2. To explain {ital n}=1 for superconductive (Bi,Sr){sub 4}CuO{sub 6+{delta}} over the range 7{lt}{ital T}{lt}700 K one can assume a structural model with punctured semiconductive domain walls. There is strong evidence for this model not only in oxide perovskites, but also in Chevrel compounds such as EuMo{sub 6}S{sub 8{minus}{ital y}}O{sub {ital x}}, which also exhibit linear {rho}({ital T}) over a narrower temperature range. In the domain-wall model recoil energy and momentum are absorbed by the walls, much as umklapp momentum is absorbed by the crystal as a whole in pure polyvalent metals. A wide range of experimental data support the model. By-products of the model are explanations of carrier freeze-out as measured by diverse anomalies in the Hall resistance, the correlation of {ital T}{sub {ital c}} with the slope of the linear background tunneling conductance of Pb-Bi-O superconductors, a simple qualitative explanation for the first- (second-) order electronic (structural) phase transition observed near {ital x}=0.21 in well-annealed La{sub 2{minus}{ital x}}Sr{sub {ital x}}CuO{sub 4}, and an explicit mechanism for the origin of {ital c}-axis linear resistivities in intercalated Bi-Sr cuprates. A similar microstructural model explains the linear temperature dependence of the hopping conductance in stable ternary quasicrystals. The key factor common to both ionic superconductors and stable quasicrystals is their multinary composition which creates hierarchies of saddle points in the local conductance.

• OSTI ID: 6996670
• Journal Information: Physical Review, B: Condensed Matter; (United States), Vol. 46:13; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
HIGH-TC SUPERCONDUCTORS
ELECTRIC CONDUCTIVITY
ELECTRON-ELECTRON COLLISIONS
IONIC CRYSTALS
TEMPERATURE DEPENDENCE
COLLISIONS
CRYSTALS
ELECTRICAL PROPERTIES
ELECTRON COLLISIONS
PHYSICAL PROPERTIES
SUPERCONDUCTORS
665411* - Basic Superconductivity Studies- (1992-)