Frustrated phase separation in two-dimensional charged systems

Ortix, Carmine; Lorenzana, J.; Castro, C. Di

doi:10.1103/physrevb.73.245117

Cited by 33 publications

(51 citation statements)

References 47 publications

(110 reference statements)

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“…Refs. 49,81,82), whereas the synonym of this term, namely, "arrested phase separation" has been used long before but mainly in relation to colloidal solutions and gels (see, e.g. Refs.…”

Section: Poles Of Thementioning

confidence: 99%

Intrinsic arrested nanoscale phase separation near a topological Lifshitz transition in strongly correlated two-band metals

Bianconi¹,

Poccia²,

Sboychakov³

et al. 2015

Supercond. Sci. Technol.

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The arrested nanoscale phase separation in a two-band Hubbard model for strongly correlated charge carriers is shown to occur in a particular range in vicinity of the topological Lifshitz transition, where the Fermi energy crosses the bottom of the narrow band and a new sheet of the Fermi surface related to the charge carriers of the second band comes into play. We determine the phase separation diagram of this two-band Hubbard model as a function of two variables, the charge carrier density and the energy shift between the chemical potential and the bottom of the second band. In this phase diagram, we first determine a line of quantum critical points for the Lifshitz transition and find criteria for the electronic phase separation resulting in an inhomogeneous charge distribution. Finally, we identify the critical point in presence of a variable long-range Coulomb interaction where the scale invariance of the coexisting phases with different charge densities appears. We argue that this point is relevant for the regime of scale invariance of the nanoscale phase separation in cuprates like it was first observed in La2CuO4.1.

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“…Refs. 49,81,82), whereas the synonym of this term, namely, "arrested phase separation" has been used long before but mainly in relation to colloidal solutions and gels (see, e.g. Refs.…”

Section: Poles Of Thementioning

confidence: 99%

Intrinsic arrested nanoscale phase separation near a topological Lifshitz transition in strongly correlated two-band metals

Bianconi¹,

Poccia²,

Sboychakov³

et al. 2015

Supercond. Sci. Technol.

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show abstract

“…When the phase separation of 2D electronic systems is analyzed, one frequently mentioned picture is that of Coulomb-frustrated phase separation [12,14,18,28]. Many researchers expect that Coulomb-frustrated inplane phase separation can explain the formation of stripes, checkerboards or other nanoscale-limited inhomogeneous structures possibly existing in cuprates.…”

Section: Coulomb Curvature In the "Lasagna" Scenariomentioning

confidence: 99%

“…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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“…Some mathematical progress [13] and a great deal of physical progress [1,5,6,10,11,14,18,19,[21][22][23]27] in this direction has been made for the ground state problem. But, at present, the positive-temperature case is far from resolved.…”

Section: Problem 3 Prove the Existence Of Striped States At Low Tempmentioning

confidence: 99%

“…Indeed, a large body of physics literature [1,5,6,10,11,14,18,19,[21][22][23]27], points in the direction of modulated (striped and/or bubble) states in this and related systems. (For an extremely insightful review of the phases produced by models of this sort and many experimentally clear realizations of the corresponding physics, see [24].)…”

Section: Introductionmentioning

confidence: 99%

On the Absence of Ferromagnetism in Typical 2D Ferromagnets

Biskup¹,

Chayes²,

Kivelson

2007

Commun. Math. Phys.

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Abstract:We consider the Ising systems in d dimensions with nearest-neighbor ferromagnetic interactions and long-range repulsive (antiferromagnetic) interactions that decay with power s of the distance. The physical context of such models is discussed; primarily this is d = 2 and s = 3 where, at long distances, genuine magnetic interactions between genuine magnetic dipoles are of this form. We prove that when the power of decay lies above d and does not exceed d + 1, then for all temperatures the spontaneous magnetization is zero. In contrast, we also show that for powers exceeding d + 1 (with d ≥ 2) magnetic order can occur.

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Frustrated phase separation in two-dimensional charged systems

Cited by 33 publications

References 47 publications

Intrinsic arrested nanoscale phase separation near a topological Lifshitz transition in strongly correlated two-band metals

Intrinsic arrested nanoscale phase separation near a topological Lifshitz transition in strongly correlated two-band metals

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

On the Absence of Ferromagnetism in Typical 2D Ferromagnets

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