Momentum Nonconservation and the Low-Temperature Resistivity of Alloys

Campbell, I.A.; Caplin, A.D.; Rizzuto, C.

doi:10.1103/physrevlett.26.239

Cited by 81 publications

(22 citation statements)

References 9 publications

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“…2 we find b∕d ¼ 1.95 AE 0.15ð10 −5 K −2 Þ, in reasonable agreement with the theoretical expectation. The T 3 resistivity in this temperature range (vs. a T 5 form) is typical for metallic samples with residual resistivities ρ 0 ≥ 1 nΩ · cm (14,16); our single-crystal Cr is 99.996 þ % pure and has ρ 0 ≈ 0.1 μΩ · cm (compared to ρ 0 ≈ 1.4 μΩ · cm in critically doped Cr∶V 3.2% (8)). The electron mean-free path in our samples is estimated to be λ > 400 Å at base-T for all pressures P < P c , where λ is calculated from the Author contributions: R.J., Y.F., and T.F.R.…”

Section: Resultsmentioning

confidence: 73%

“…2B where we plot ρðT 3 Þ, and for each pressure we limit the temperature range to T > T N in order to emphasize ρ PM ðTÞ. The T 3 coefficient b varies by less than 6% between samples and is well described by metallic transport due to phonon scattering in the presence of a weakly inelastic nonphonon scattering channel (14).…”

Section: Resultsmentioning

confidence: 97%

“…The convolution was implemented numerically, holding q constant and scaling g 0 linearly with T N . Modeling ρ PM ðT Þ is easy at low temperatures (approximately T N < 50 K or P > 8.8 GPa), where it obeys the expected form ρ PM ðT Þ ¼ ρ 0 þ bT 3 þ cT 5 and the T 3 dependence dominates (14,16). In this regime the McWhan-Rice fit parameters are robust.…”

Section: Methodsmentioning

confidence: 92%

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Signatures of quantum criticality in pure Cr at high pressure

Jaramillo

Feng

Wang

et al. 2010

Proc. Natl. Acad. Sci. U.S.A.

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The elemental antiferromagnet Cr at high pressure presents a new type of naked quantum critical point that is free of disorder and symmetry-breaking fields. Here we measure magnetotransport in fine detail around the critical pressure, P c ∼ 10 GPa, in a diamond anvil cell and reveal the role of quantum critical fluctuations at the phase transition. As the magnetism disappears and T → 0, the magntotransport scaling converges to a non-mean-field form that illustrates the reconstruction of the magnetic Fermi surface, and is distinct from the critical scaling measured in chemically disordered Cr∶V under pressure. The breakdown of itinerant antiferromagnetism only comes clearly into view in the clean limit, establishing disorder as a relevant variable at a quantum phase transition.antiferromagnetism | spin density waves | electric transport C ompetition between magnetic and nonmagnetic states of matter in the zero-temperature limit underlies the emergence of exotic ground states such as non-Fermi liquid metals and unconventional superconductors (1). This observation has motivated several decades of work to understand the physics of magnetic quantum phase transitions (QPT) (2-7). A substantial part of the effort has been directed at the materials science challenges that are inherent to realizing nearly-magnetic states of matter and to the fine tuning of materials so that the phase transitions can be probed systematically. The fundamental limitations that remain are uncertainty over the role of disorder (2,4,8), as well as a predilection for first-order transitions that shroud the quantum critical behavior (3, 5). Recent X-ray measurements identified a continuous disappearance of magnetic order in the elemental antiferromagnet Cr near the critical pressure P c ∼ 10 GPa, and concurrent measurements of the crystal lattice across the transition failed to detect any discontinuous change in symmetry or volume (9). These results identify Cr as a stoichiometric itinerant magnet with a continuous QPT-where the effects of the critical point should be manifest-and present a rare opportunity to study quantum criticality in a theoretically tractable system that is free from the effects of disorder. Moreover, the use of hydrostatic pressure as a tuning parameter avoids the introduction of any confounding symmetry-breaking fields.For the experimentalist, studying elemental Cr shifts the significant technical difficulties from solid state chemistry to high pressure experimentation. Here we report on high-resolution measurements of the electrical resistivity and Hall coefficient of Cr as the system is tuned with pressure in a diamond anvil cell across P c . Magnetotransport is a sensitive probe of quantum criticality and is widely used to identify and characterize quantum matter (4,5,8,10). At ambient pressure Cr orders antiferromagnetically at the Néel temperature, T N ðP ¼ 0Þ ¼ 311 K. Below T N , electrons and holes form magnetic pairs and condense into a spin density wave (SDW), in a process with strong analogies to the Bardeen-Coo...

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Section: Resultsmentioning

confidence: 73%

Section: Resultsmentioning

confidence: 97%

Section: Methodsmentioning

confidence: 92%

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Signatures of quantum criticality in pure Cr at high pressure

Jaramillo

Feng

Wang

et al. 2010

Proc. Natl. Acad. Sci. U.S.A.

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“…It collapses as a function of pressure, with the low-temperature rise in ρ(T ) disappearing at P c = 7.5 kbar. The temperature dependence of ρ for T > T min when P < P c and for all T < 100 K for P > P c follows a T 3 power law expected from phonon scattering in a disordered metal alloy [8]. Although T min (P ) tracks P c , the full T-dependence of the electrical resistivity at P ∼ P c appears oblivious to the existence of the QCP, even under the magnifying glass of pressure tuning.…”

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confidence: 98%

High Resolution Study of Magnetic Ordering at Absolute Zero

et al. 2004

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High fidelity pressure measurements in the zero temperature limit provide a unique opportunity to study the behavior of strongly interacting, itinerant electrons with coupled spin and charge degrees of freedom. Approaching the exactitude that has become the hallmark of experiments on classical critical phenomena, we characterize the quantum critical behavior of the model, elemental antiferromagnet chromium, lightly doped with vanadium. We resolve the sharp doubling of the Hall coefficient at the quantum critical point and trace the dominating effects of quantum fluctuations up to surprisingly high temperatures.PACS numbers: 75.40. Cx, 75.30.Fv, 71.27.+a, 42.50.Lc Phase transitions at the absolute zero of temperature are a result of Heisenberg's uncertainty principle rather than of a thermal exploration of states. Their ubiquity in materials of large technological interest, including transition metal oxides and sulfides, metal hydrides, superconducting cuprates, and colossal magnetoresistance manganites, combined with the intellectual challenge presented by many strongly interacting quantum degrees of freedom, places quantum phase transitions at the core of modern condensed matter physics. Quantum fluctuations inextricably intertwine the static and dynamical response of the material changing state, introducing new critical exponents, new scaling laws, and new relationships between the spin and charge degrees of freedom [1,2,3].Varying the quantum fluctuations required for zerotemperature phase transitions is more difficult than changing temperature, with the result that the understanding of quantum phase transitions is far less detailed than that of their classical analogues. Typically, fluctuations are varied by scanning the composition of an alloy, such as the doped cuprates that host hightemperature superconductivity. The result is that a new sample, each with unique disorder, must be fabricated for every zero-point fluctuation rate sampled. Tuning the transition with an external magnetic field, a quantity that is easily and precisely regulated, is a cleaner technique and provides correspondingly greater detail for both insulators [4] and metals [5]. However, magnetic fields also break time-reversal symmetry, which is particularly significant for quantum phase transitions because the dynamics responsible for zero-point fluctuations are altered profoundly. It is important, therefore, to examine a quantum phase transition for a simple material with high precision without applying a symmetry-breaking field. In response to this challenge, we have performed a high-resolution hydrostatic pressure study of a model quantum phase transition: elemental chromium diluted with its neighbor vanadium, small amounts of which can smoothly suppress Cr's spin-density-wave transition to T = 0. The Cr-V single crystals permit tuning with high fidelity and we are able to characterize precisely the signatures of vanishing magnetic order in a system sufficiently simple to promise theoretical tractability.Cr is the archetypical met...

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“…Recent experiments, however, show that there are substantial deviations from it [l]. The causes ascribed to this deviation are (i) the inelastic scattering of conduction electrons by the change in the form of the impurity potential due to strain of the surrounding lattice [2], (ii) the inelastic electron-phonon scattering [3], (iii) the anisotropy of lattice vibrations [4] and Fermi surfaces [5, 61, (iv) the incoherent and inelastic scattering of conduction electrons by local modes [7], (v) the difference in the anisotropies of relaxation times for phonon and impurity scatterings [8], analysed in terms of the two-band model [9, 101, (vi) the interference between the phonon and impurity scatterings [ll], (vii) the breakdown in the conservation of crystal momentum [12,131, and (viii) the phonon drag effect [14]. However, only causes (iv), (v), and (vi) are found to be significant.…”

Section: Introductionmentioning

confidence: 99%

Effect of localization on the temperature‐dependent impurity resistance in dilute non‐magnetic alloys

Dubey

Dayal

1973

Physica Status Solidi (b)

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A previous theory of the temperature dependence of the impurity resistance, is applied to those alloy systems where the constituent atoms have nearly equal masses. An expression is developed for the matrix element describing the coupling of the unperturbed phonons with the impurity electrons. Detailed calculations are made for a silver-cadmium dilute alloy, silver being the host metal. Satisfactory agreement with the experimental values is obtained. The results show that in this alloy system resonance states below the Fermi level are formed. Further i t is shown that localized states are formed when the structure is h.c.p. and resonance states when the structure is cubic.Eine

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Momentum Nonconservation and the Low-Temperature Resistivity of Alloys

Cited by 81 publications

References 9 publications

Signatures of quantum criticality in pure Cr at high pressure

Signatures of quantum criticality in pure Cr at high pressure

High Resolution Study of Magnetic Ordering at Absolute Zero

Effect of localization on the temperature‐dependent impurity resistance in dilute non‐magnetic alloys

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