Compressibility Divergence and the Finite Temperature Mott Transition

Kotliar, Gabriel; Murthy, Sahana; Rozenberg, M. J.

doi:10.1103/physrevlett.89.046401

Cited by 90 publications

(129 citation statements)

References 18 publications

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“…Pressure (hydrostatic or chemical) increases the bandwidth, reducing the effects of residual interactions. This firstorder phase transition seems to correspond to the socalled Mott transition, as it has become understood in the last few years through dynamical mean-field theory (DMFT) [4].One of the recent predictions of DMFT, is that the compressibility of electronic degrees of freedom diverges at the critical point that terminates the first-order Mott transition line [5,6]. Observation of this phenomenon would help confirm the picture of the Mott transition proposed by DMFT.…”

supporting

confidence: 49%

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Mott Transition, Compressibility Divergence, and theP−TPhase Diagram of Layered Organic Superconductors: An Ultrasonic Investigation

et al. 2003

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The phase diagram of the organic superconductor κ-(BEDT-TTF)2Cu[N(CN)2Cl has been investigated by ultrasonic velocity measurements under helium gas pressure. Different phase transitions were identified trough several elastic anomalies characterized from isobaric and isothermal sweeps. Our data reveal two crossover lines that end on the critical point terminating the first-order Mott transition line. When the critical point is approached along these lines, we observe a dramatic softening of the velocity which is consistent with a diverging compressibility of the electronic degrees of freedom.PACS numbers: 74.70. Kn, 71.30.+h, 74.25.Ld Electronic properties of metals or semiconductors at energies of the order of room temperature or less can usually be understood by simple models that take into account a few electronic bands near the Fermi level. In the absence of broken symmetries, it suffices to take into account the effects on the bands of small residual electronelectron and electron-phonon interactions to explain the observed electronic properties. In the last decade, a flurry of activity has centered on materials that cannot be understood using the above textbook procedure. In these materials, only one or a few bands should be relevant to understand electronic properties but the residual interactions are so strong that electronic eigenstates can become localized, leading to a complete breakdown of the band picture. A few compounds have become prototype materials for the study of these so-called strong correlation effects:In these compounds, one observes a pressure-induced finite-temperature first-order phase transition (MI) between an insulating (I) and a metallic (M) phase. Pressure (hydrostatic or chemical) increases the bandwidth, reducing the effects of residual interactions. This firstorder phase transition seems to correspond to the socalled Mott transition, as it has become understood in the last few years through dynamical mean-field theory (DMFT) [4].One of the recent predictions of DMFT, is that the compressibility of electronic degrees of freedom diverges at the critical point that terminates the first-order Mott transition line [5,6]. Observation of this phenomenon would help confirm the picture of the Mott transition proposed by DMFT. In this letter, we present the first ultrasonic study of κ-(BEDT-TTF) 2 Cu[N(CN) 2 ]Cl (denoted as κ-Cl), using an hydrostatic helium gas pressure cell. The study, summarized in the phase diagram shown in figure 1, shows (a) A very large softening of the sound velocity at the critical point, corresponding to the predicted divergence of the compressibility of the electronic degrees of freedom. (b) Two crossover lines -joining at the critical point -where a similar although smaller compressibility anomaly is observed. Most remarkably, while the compressibility anomalies decrease in size as one moves away from the critical point, the crossover line at high pressure coincides with the well-known pseudogap features identified in the magnetic [7], transport [8,9] and el...

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supporting

confidence: 49%

“…The very large softening of the velocity at the critical point corresponds to the predicted compressibility divergence of the electronic degrees of freedom and validates then, the DMFT picture of the Mott transition [5,6]. Two crossover lines joining at the critical point were also obtained from a similar, although smaller, compressibility anomaly.…”

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confidence: 59%

Mott Transition, Compressibility Divergence, and theP−TPhase Diagram of Layered Organic Superconductors: An Ultrasonic Investigation

et al. 2003

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“…The first order MI transition abruptly changes the potential profile across the device. The interfaces, essentially 3D systems, allow the filling-driven Mott transition to be of first order and to exhibit hysteresis, following the arguments given in [25].…”

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confidence: 99%

“…where n(V (x)) can be represented in a linearized form with constant compressibility k = − dn dV = 2 W − outside the Mott gap , while n = 1 inside [25]. W is the bandwidth.…”

mentioning

confidence: 99%

Voltage-induced switching with magnetoresistance signature in magnetic nano-filaments

Sokolov

Sabirianov

et al. 2009

J. Phys.: Condens. Matter

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“…Theoretically, the general tendency towards phase separation in cuprates and cuprate-related models is extensively discussed in the literature [9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30], but any conclusion about the actual presence or absence of phase separation suffers from uncertainties associated with the gross simplifications in the models. The important advantage of the phase separation measure introduced in this work is that it is directly applicable to real materials.…”

Section: Introductionmentioning

confidence: 99%

Phase separation in the vicinity of quantum-critical doping concentration: Implications for high-temperature superconductors

Fine

Egami

2008

Phys. Rev. B

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A general quantitative measure of the tendency towards phase separation is introduced for systems exhibiting phase transitions or crossovers controlled by charge carrier concentration. This measure is devised for the situations when the quantitative knowledge of various contributions to free energy is incomplete, and is applied to evaluate the chances of electronic phase separation associated with the onset of antiferromagnetic correlations in high-temperature cuprate superconductors. The experimental phenomenology of lanthanum-and yittrium-based cuprates was used as input to this analysis. It is also pointed out that Coulomb repulsion between charge carriers separated by the distances of 1-3 lattice periods strengthens the tendency towards phase separation by accelerating the decay of antiferromagnetic correlations with doping. Overall, the present analysis indicates that cuprates are realistically close to the threshold of phase separation -nanoscale limited or even macroscopic with charge density varying between adjacent crystal planes.

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Compressibility Divergence and the Finite Temperature Mott Transition

Cited by 90 publications

References 18 publications

Mott Transition, Compressibility Divergence, and theP−TPhase Diagram of Layered Organic Superconductors: An Ultrasonic Investigation

Mott Transition, Compressibility Divergence, and theP−TPhase Diagram of Layered Organic Superconductors: An Ultrasonic Investigation

Voltage-induced switching with magnetoresistance signature in magnetic nano-filaments

Phase separation in the vicinity of quantum-critical doping concentration: Implications for high-temperature superconductors

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