The Feshbach resonance and nanoscale phase separation in a polaron liquid near the quantum critical point for a polaron Wigner crystal

Abstract

The additional long range order parameter that competes with the high Tc superconductivity long range order is identified as an electronic crystal of pseudo Jahn-Teller polarons beyond the critical value of the electron lattice interaction. We show that the region of quantum critical fluctuations in the two variables phase diagram of cuprates: the doping (delta) and the chemical pressure (i.e., the tolerance factor, or the average ionic radius of A-site cations) can be measured via the microstrain (eta) of the Cu-O length in the CuO2 lattice. The fluctuating order in the proximity of the microstrain quantum critical point that competes with the superconducting long range order is the polaron electronic crystalline phase called a Wigner polaron crystal and the variation of the spin gap energy as a function of microstrain provides a strong experimental support for this proposal.

arXiv comment13 pages, 3 figures

References in corpus (39)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Double Exchange Alone Does Not Explain the Resistivity of $L{a}_{1-x}S{r}_{x}Mn{O}_3$
• Complexity in Strongly Correlated Electronic Systems
• Evidence for ubiquitous strong electron-phonon coupling in high-temperature superconductors
• Quantum phases in an optical lattice
• Order and quantum phase transitions in the cuprate superconductors
• On the Fermi Liquid to Polaron Crossover II: Double Exchange and the Physics of "Colossal" Magnetoresistance
• Neutron Scattering from Magnetic Excitations in Bi_2 Sr_2 Ca_2 O_8+delta
• Charge ordered ferromagnetic phase in La0.5Ca0.5MnO3
• An unusual isotope effect in a high-transition-temperature superconductor
• Evidence for an energy scale for quasiparticle dispersion in Bi_2Sr_2CaCu_2O_8
• Stripe order, depinning, and fluctuations in La${}_{1.875}$Ba${}_{0.125}$CuO${}_4$ and La${}_{1.875}$Ba${}_{0.075}$Sr${}_{0.050}$CuO${}_4$
• Coexisting charge modulation and ferromagnetism produces long period phases in manganites: new example of electronic soft matter
• Nodal quasiparticle in pseudogapped colossal magnetoresistive manganites
• Atomic-scale images of charge ordering in a mixed-valence manganite
• "Wigner crystal" and "stripe" models for the magnetic and crystallographic superstructures of La0.333Ca0 .667MnO3
• Local Magnetic Order vs. Superconductivity in a Layered Cuprate
• Scaling of magnetic fluctuations near a quantum phase transition
• Electronic Structure of La2-xSrxCuO4 in the Vicinity of the Superconductor-Insulator Transition
• Competition between charge/spin-density-wave orders and superconductivity in La${}_{1.875}$Ba${}_{0.125-x}$Sr${}_x$CuO${}_4$
• Neutron diffraction evidence of microscopic charge inhomogeneities in the CuO2 plane of superconducting La2-xSrxCuO4 (0 < x <0.30)
• Universal Dispersive Excitations in the High-Temperature Superconductors
• Low-Energy Electronic Structure of the High-Tc Cuprates La2-xSrxCuO4 Studied by Angle-resolved Photoemission Spectroscopy
• The hierarchy of multiple many-body interaction scales in high-temperature superconductors
• Quantum phase transition in an atomic Bose gas with a Feshbach resonance
• The gap amplification at a "shape resonance" in a superlattice of quantum stripes: a mechanism for high Tc
• Weak charge-lattice coupling requires reinterpretation of stripes of charge order in La1-xCaxMnO3
• Polaronic behavior of undoped high-Tc cuprates
• The self-organised phases of manganites
• Charge-Stripe Ordering From Local Octahedral Tilts: Underdoped and Superconducting La2-xSrxCuO4 (0 < x < 0.30)
• On the Possibility of New High Tc Superconductors by Producing metal Heterostructures as in the Cuprate Perovskites
• Dual Nature of the Electronic Structure of the Stripe Phase
• Phase separation in systems with charge ordering
• Structural effect on the static spin and charge correlations in La${}_{1.875}$Ba${}_{0.125-x}$Sr${}_x$CuO${}_4$
• Synchrotron X-ray diffraction study of a charge stripe order in 1/8-doped La${}_{1.875}$Ba${}_{0.125-x}$Sr${}_x$CuO${}_4$
• Polaron Crystallization and Melting: Effects of the Long-Range Coulomb Forces
• Wigner crystallization in a polarizable medium
• Critical Behavior of the Flux-line Tension in Extreme Type-II Superconductors
• Polaron Dissociation at the Insulator-to-Metal Transition

Cited by in corpus (13)

• Resonant and crossover phenomena in a multiband superconductor tuning the chemical potential near a band edge
• A model for the phase separation controlled by doping and the internal chemical pressure in different cuprate superconductors
• Feshbach resonances and mesoscopic phase separation near a quantum critical point in multiband FeAs-based superconductors
• The effect of internal pressure on the tetragonal to monoclinic structural phase transition in ReOFeAs: the case of NdOFeAs
• Shape resonance for the anisotropic superconducting gaps near a Lifshitz transition: the effect of electron hopping between layers
• Spatial inhomogeneity and chiral symmetry of the lattice incommensurate supermodulation in high temperature superconductor Bi2Sr2CaCu2O8+y
• Intrinsic arrested nanoscale phase separation near a topological Lifshitz transition in strongly correlated two-band metals
• Fermi-Bose mixtures and BCS-BEC crossover in high-Tc superconductors
• Isotope effect on the E2g phonon and mesoscopic phase separation near the electronic topological transition in Mg1-xAlxB2
• Superstripes and complexity in high-temperature superconductors
• Multiple electronic components and Lifshitz transitions by oxygen wires formation in layered cuprates and nickelates
• Electronic structure of HgBa${}_2$CuO${}_{4+\delta }$ with self-organized interstitial oxygen wires in the Hg spacer planes
• Experimental evidence of chemical-pressure-controlled superconductivity in cuprates