Thermoelectric effect of correlated metals: Band-structure effects and the breakdown of Mott's formula

Buhmann, Jonathan M.; Sigrist, Manfred

doi:10.1103/physrevb.88.115128

Cited by 27 publications

(23 citation statements)

References 31 publications

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“…Finally, we consider the possibility that a Lifshitz transition might account for transport and thermopower behaviors near p c1 . A Lifshitz transition, which does reconstruct the FS, under certain circumstances can produce a jump and sign change in S/T as a function of some non-thermal control parameter that tunes the chemical potential 37 or magnetic exchange. 38 Though these theoretical models 37,38 may capture aspects of our experimental observations, presently it is not possible to compare directly predictions of these models to our results as a function of pressure.…”

Section: Discussionmentioning

confidence: 99%

Unconventional and conventional quantum criticalities in CeRh0.58Ir0.42In5

Luo

Dioguardi

et al. 2018

npj Quant Mater

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An appropriate description of the state of matter that appears as a second order phase transition is tuned toward zero temperature, viz. quantum-critical point (QCP), poses fundamental and still not fully answered questions. Experiments are needed both to test basic conclusions and to guide further refinement of theoretical models. Here, charge and entropy transport properties as well as AC specific heat of the heavy-fermion compound CeRh 0.58 Ir 0.42 In 5 , measured as a function of pressure, reveal two qualitatively different QCPs in a single material driven by a single non-symmetry-breaking tuning parameter. A discontinuous sign-change jump in thermopower suggests an unconventional QCP at p c1 accompanied by an abrupt Fermi-surface reconstruction that is followed by a conventional spin-density-wave critical point at p c2 across which the Fermi surface evolves smoothly to a heavy Fermi-liquid state. These experiments are consistent with some theoretical predictions, including the sequence of critical points and the temperature dependence of the thermopower in their vicinity.

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Section: Discussionmentioning

confidence: 99%

Unconventional and conventional quantum criticalities in CeRh0.58Ir0.42In5

Luo

Dioguardi

et al. 2018

npj Quant Mater

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“…While the oscillations may indeed be related to those seen in [18], there have recently been several theoretical reports describing situations where the Mott relation (equation (1)) breaks down. These include the vicinity of a quantum critical point [19], proximity to a Lifshitz transition [20], and, remarkably, even far away from a critical point [21].…”

Section: Discussionmentioning

confidence: 99%

Density-dependent thermopower oscillations in mesoscopic two-dimensional electron gases

Narayan¹,

Kogan²,

Ford³

et al. 2014

New J. Phys.

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We present thermopower S and resistance R measurements on GaAsbased mesoscopic two-dimensional electron gases (2DEGs) as functions of the electron density n s . At high n s we observe good agreement between the measured S and S MOTT , the Mott prediction for a non-interacting metal. As n s is lowered, we observe a crossover from Mott-like behaviour to that where S shows strong oscillations and even sign changes. Remarkably, there are absolutely no features in R corresponding to those in S. In fact, R is devoid of even any universal conductance fluctuations. A statistical analysis of the thermopower oscillations from two devices of dissimilar dimensions suggest a universal nature of the oscillations. We critically examine whether they can be mesoscopic fluctuations of the kind described by Lesovik and Khmelnitskii in Sov.

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“…[36,38], the side of the transition where the new pocket is absent and where the neck is not broken corresponds to region I. Figures 4(a)-4(d) present theoretical predictions for the signatures one expects to observe in electrical conductivity σ and thermopower at a LT of a three-dimensional band [36,38,39]. E c − E F defines the distance of the extremum in the band structure to the Fermi energy.…”

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confidence: 99%