Colloquium : Saturation of electrical resistivity

By O. Gunnarsson, M. Calandra, Jong E Han. 2003

341 citations recorded by the source corpus.

Resistivity saturation is observed in many metallic systems with large resistivities---when the resistivity has reached a critical value, its further increase with temperature is substantially reduced. This typically happens when the apparent mean free path is comparable to the interatomic separations---the Ioffe-Regel condition. Recently, several exceptions to this rule have been found. This colloquium first reviews experimental results and early theories of resistivity saturation. It then describes more recent theoretical work, addressing cases both where the Ioffe-Regel condition is satisfied and where it is violated. In particular, the authors show how the (semiclassical) Ioffe-Regel condition can be derived quantum mechanically under certain assumptions about the system and why these assumptions are violated for high-${T}_{c}$ cuprates and alkali-doped fullerides.

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics

View Paper: https://www.semanticscholar.org/paper/bd4a339aa8e226a604d71557c7b434af9619566d

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In Atomic and Molecular Physics, and Optics

In Condensed Matter Physics

Citations in the corpus

The thermoelectric properties of inhomogeneous holographic lattices (2014, background): “This is reminiscent of the Mott-Ioffe-Regel bound [27, 28] of metals (see figure 2), though here, of course, there are no quasi-particles.”
Quantum frustration in organic Mott insulators: from spin liquids to unconventional superconductors (2010, background): “…al., 2006; Kurosaki et al., 2005; Limelette, Wzietek, Florens, Georges, Costi, Pasquier, Jérome, Mézière, and Batail, 2003), which would mean that, in a Drude picture, electrons are scattering more frequently than they hop from site to site (Gunnarsson et al., 2003; Merino and McKenzie, 2000a).”
Universality of the Mott–Ioffe–Regel limit in metals (2004, background): “…exhaustive and, while there have been numerous attempts to explain the origin of the PRF (for excellent critique of the exisiting theoretical literature, see Allen (1980), Gurvitch (1983) and Gunnarsson et al. (2003)), its ability to describe the approach to the MIR limit does not appear in doubt.”
Holographic Quantum Matter (2016, background): “The inequality, kF`qp:imp > 1, then leads to the proposal of the Mott-Ioffe-Regel lower bound on the conductivity of a metal [320]”
Thermoelectric DC conductivities from black hole horizons (2014, background): “This is reminiscent of the Mott-IoffeRegel bound [31, 32], but here, of course, we have no quasi-particles.”
Theory of universal incoherent metallic transport (2014, background): “Violation of the MIR limit is widely observed in strongly correlated systems at high temperatures, suggesting that transport in these ‘bad metal’ regimes is not controlled by quasiparticle physics [4, 5, 6].”
The high conductivity of iron and thermal evolution of the Earth’s core (2013, background): “With rare exceptions, resistivity saturation occurs in all transition metals when the mean free path k between electron scattering events becomes comparable to the inter-atomic distance x (Gunnarsson et al., 2003).”
Thermal evolution of the core with a high thermal conductivity (2014, neutral): “…use the classical Bloch-Gr¨uneisen formula all the way to the temperature of the core whereas Gomi et al. (2013) additionally take into account the saturation eﬀect of resistivity of metals that is well documented for most metals (Gunnarsson et al., 2003) but not demonstrated at high pressure.”
Electrodynamics of correlated electron materials (2011, background): “An interdependence between the dc transport and incoherent (mid-infrared) response has been analyzed within an interesting framework based on the oscillator strength sum rule (Gunnarsson et al., 2003; Qazilbash et al., 2006).”
Thermal and electrical conductivity of solid iron and iron-silicon mixtures at Earth's core conditions (2013, background): “To extrapolate their results to core temperatures they combined their measurements with the saturation resistivity model, which says that the resistivity of a material stops increasing with temperature once the mean free path of the electrons becomes of the order of the interatomic distance (Gunnars”