Electronic phase separation and the inhomogeneities in Bi2212

Mello, E. V. L. de; Kasal, R.B.; Passos, C. A. C.; Filho, Otton S. T.

doi:10.1016/j.physb.2009.07.061

Cited by 10 publications

(11 citation statements)

References 11 publications

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“…We have made a detailed study of the density profile evolution in a 105 × 105 array as function of the time steps, up to the stabilization of the local densities, for parameters that yield stripe [18] and patchwork [17,43] patterns.…”

Section: Electronic Phase Separationmentioning

confidence: 99%

Random resistivity network calculations for cuprate superconductors with an electronic phase separation transition

Pinheiro¹,

Mello²

2012

Physica A: Statistical Mechanics and its Applications

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The resistivity as function of temperature of high temperature superconductors is very unusual and despite its importance lacks an unified theoretical explanation. It is linear with the temperature for overdoped compounds but it falls more quickly as the doping level decreases. The resistivity of underdoped cuprates increases as an insulator below a characteristic temperature where it shows a minimum. We show that this overall behavior can be explained by calculations using an electronic phase segregation into two main component phases with low and high electronic densities. The total resistence is calculated by the various contributions through several random picking processes of the local resistivities and using a common statistical Random Resistor Network approach.

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Section: Electronic Phase Separationmentioning

confidence: 99%

Random resistivity network calculations for cuprate superconductors with an electronic phase separation transition

Pinheiro¹,

Mello²

2012

Physica A: Statistical Mechanics and its Applications

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“…We perform calculations on the non-uniform charge system but the usual local density of states (LDOS) [44] at different places x i are not so sharp and difficult to get their real value. To improve the determination of the peaks positions, although the measured LDOS of cuprates are not symmetric, we deal with the following symmetric LDOS, f n is the Fermi function, the prime is the derivative with respect to the argument, and u n , v n and E n are respectively the eigenvectors and positive eigenvalues (quasiparticles exciting energy) of the BdG matrix equation [32,33,34,35,36].…”

Section: The Stm Results and Interpretationmentioning

confidence: 99%

“…Although the potential is constant in space, the different local densities yield different superconducting amplitudes. Starting with an extended Hubbard Hamiltonian with nearest neighbor hopping t = 0.15eV and next nearest neighbor hopping of t 1 /t = −0.64, close to the ARPES value of t 1 /t = −0.50 [37], the BdG mean-field equations are written in terms of the BdG matrix [32,33,34,35,36]:…”

Section: Bdg-ch Combined Calculationsmentioning

confidence: 99%

“…We have already made a detailed study of the CH differential equation by finite difference methods [31] which yields the density profile u(p, i, T ) in a 105 × 105 array as function of the time steps, up to the stabilization of the local densities [32,33,34,35,36]. Here we study the EPS profile as the parameter A changes from A = 0 near T = T PS to A = 1 close to T = 0K.…”

Section: Introductionmentioning

confidence: 99%

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The disordered induced interaction and the phase diagram of cuprates

Mello¹,

Kasal²

2012

Physica C: Superconductivity

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There are processes in nature that resemble a true force but arise due to the minimization of the local energy. The most well-known case is the exchange interaction that leads to magnetic order in some materials. We discovered a new similar process occurring in connection with an electronic phase separation transition that leads to charge inhomogeneity in cuprate superconductors. The minimization of the local free energy, described here by the Cahn-Hilliard diffusion equation, drives the charges into regions of low and high densities. This motion leads to an effective potential with two-fold effect: creation of tiny isolated regions or micrograins, and two-body attraction, which promotes local or intragrain superconducting pairing. Consequently, as in granular superconductors, the superconducting transition appears in two steps. First, with local intra-grain superconducting amplitudes and, at lower temperature, the superconducting phase or resistivity transition is attained by intergrain Josephson coupling. We show here that this approach reproduces the main features of the cuprates phase diagram, gives a clear interpretation to the pseudogap phase and yields the position dependent local density of states gap ∆( r) measured by tunnelling experiments.

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“…Electronic phase separation (EPS) is the static coexistence of distinct electronic phases in a microscopic length scale at low temperature [1]. EPS has been recognized as an underlying mechanism of exotic electronic phenomena such as colossal magnetoresistance [2] and hightemperature superconductivity [3,4]. The investigation of EPS is not only crucial for understanding such exotic phenomena, but also necessary for manipulating competing electronic phases toward novel device applications.…”

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confidence: 99%

Atomistic origin of metal versus charge-density-wave phase separation in indium atomic wires on Si(111)

Song,

Yeom

2021

Preprint

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We investigate in atomic scale the electronic phase separation occurring in the well known quasi 1D charge-density wave (CDW) phase of the In atomic wire array on a Si(111) surface. The characteristic atomic scale defects, originated from excess In atoms, are found to be actively involved in the formation of the phase boundary between the metallic and the CDW phases by extensive analysis of scanning tunneling microscopy images at various temperatures. These particular defects flip the phase of the quasi 1D CDW to impose strong local constraints in the CDW correlation. We show that such local constraints and the substantial interwire CDW interaction induce local condensates of CDW and the phase separation between the metallic and the CDW phases. This work unveils the atomistic origin of the electronic phase separation, highlighting the importance of atomic scale structures of defects and their collective interaction in electronically inhomogeneous materials.

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Electronic phase separation and the inhomogeneities in Bi2212

Cited by 10 publications

References 11 publications

Random resistivity network calculations for cuprate superconductors with an electronic phase separation transition

Random resistivity network calculations for cuprate superconductors with an electronic phase separation transition

The disordered induced interaction and the phase diagram of cuprates

Atomistic origin of metal versus charge-density-wave phase separation in indium atomic wires on Si(111)

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