Evolution of Charge-Lattice Dynamics across the Kuramoto Synchronization Phase Diagram of Quantum Tunneling Polarons in Cuprate Superconductors

Velasco, Victor; Silva Neto, Marcello B.; Perali, Andrea; Wimberger, Sandro; Bishop, Alan R.; Conradson, Steven D.

doi:10.3390/condmat6040052

Title: Evolution of Charge-Lattice Dynamics across the Kuramoto Synchronization Phase Diagram of Quantum Tunneling Polarons in Cuprate Superconductors

Abstract

Because of its sensitivity to the instantaneous structure factor, S(Q,t = 0), Extended X-ray Absorption Fine Structure (EXAFS) is a powerful tool for probing the dynamic structure of condensed matter systems in which the charge and lattice dynamics are coupled. When applied to hole-doped cuprate superconductors, EXAFS has revealed the presence of internal quantum tunneling polarons (IQTPs). An IQTP arises in EXAFS as a two-site distribution for certain Cu–O pairs, which is also duplicated in inelastic scattering but not observed in standard diffraction measurements. The Cu–Sr pair distribution has been found to be highly anharmonic and strongly correlated to both the IQTPs and to superconductivity, as, for example, in YSr₂Cu_2.75Mo_0.25O_7.54(T_c=84 K). In order to describe such nontrivial, anharmonic charge-lattice dynamics, we have proposed a model Hamiltonian for a prototype six-atom cluster, in which two Cu-apical-O IQTPs are charge-transfer bridged through Cu atoms by an O atom in the CuO₂ plane and are anharmonically coupled via a Sr atom. By applying an exact diagonalization procedure to this cluster, we have verified that our model indeed produces an intricate interplay between charge and lattice dynamics. Then, by using the Kuramoto model for the synchronization of coupled quantum oscillators, we have found amore »« less

Authors:

^[1];

^[2];

^[3]; Bishop, Alan R. ^[4];

^[5]

Federal University of Rio de Janeiro (Brazil)
Univ. of Camerino (Italy)
Univ. of Parma (Italy); Istituto Nazionale di Fisica Nucleare (INFN) (Italy)
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Washington State Univ., Pullman, WA (United States); Josef Stefan Institute (Slovenia)

Publication Date:: Thu Dec 16 00:00:00 EST 2021

Research Org.:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF)

OSTI Identifier:: 1972138

Report Number(s):: LA-UR-23-23783
Journal ID: ISSN 2410-3896; TRN: US2313768

Grant/Contract Number:: 89233218CNA000001; AC02-76SF00515; 1928874

Resource Type:: Accepted Manuscript

Journal Name:: Condensed Matter

Additional Journal Information:: Journal Volume: 6; Journal Issue: 4; Journal ID: ISSN 2410-3896

Publisher:: MDPI

Country of Publication:: United States

Language:: English

Subject:: 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; EXAFS; Kuramoto; high-temperature superconductivity; synchronization; cuprates; polarons

Citation Formats


                    Velasco, Victor, Silva Neto, Marcello B., Perali, Andrea, Wimberger, Sandro, Bishop, Alan R., and Conradson, Steven D. Evolution of Charge-Lattice Dynamics across the Kuramoto Synchronization Phase Diagram of Quantum Tunneling Polarons in Cuprate Superconductors.  United States: N. p., 2021. 
Web.  doi:10.3390/condmat6040052.

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                    Velasco, Victor, Silva Neto, Marcello B., Perali, Andrea, Wimberger, Sandro, Bishop, Alan R., & Conradson, Steven D. Evolution of Charge-Lattice Dynamics across the Kuramoto Synchronization Phase Diagram of Quantum Tunneling Polarons in Cuprate Superconductors.  United States.  https://doi.org/10.3390/condmat6040052

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                    Velasco, Victor, Silva Neto, Marcello B., Perali, Andrea, Wimberger, Sandro, Bishop, Alan R., and Conradson, Steven D. Thu .  
"Evolution of Charge-Lattice Dynamics across the Kuramoto Synchronization Phase Diagram of Quantum Tunneling Polarons in Cuprate Superconductors".  United States.  https://doi.org/10.3390/condmat6040052.  https://www.osti.gov/servlets/purl/1972138.

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@article{osti_1972138,

  title        = {Evolution of Charge-Lattice Dynamics across the Kuramoto Synchronization Phase Diagram of Quantum Tunneling Polarons in Cuprate Superconductors},

  author       = {Velasco, Victor and Silva Neto, Marcello B. and Perali, Andrea and Wimberger, Sandro and Bishop, Alan R. and Conradson, Steven D.},

  abstractNote = {Because of its sensitivity to the instantaneous structure factor, S(Q,t = 0), Extended X-ray Absorption Fine Structure (EXAFS) is a powerful tool for probing the dynamic structure of condensed matter systems in which the charge and lattice dynamics are coupled. When applied to hole-doped cuprate superconductors, EXAFS has revealed the presence of internal quantum tunneling polarons (IQTPs). An IQTP arises in EXAFS as a two-site distribution for certain Cu–O pairs, which is also duplicated in inelastic scattering but not observed in standard diffraction measurements. The Cu–Sr pair distribution has been found to be highly anharmonic and strongly correlated to both the IQTPs and to superconductivity, as, for example, in YSr2Cu2.75Mo0.25O7.54(Tc=84 K). In order to describe such nontrivial, anharmonic charge-lattice dynamics, we have proposed a model Hamiltonian for a prototype six-atom cluster, in which two Cu-apical-O IQTPs are charge-transfer bridged through Cu atoms by an O atom in the CuO2 plane and are anharmonically coupled via a Sr atom. By applying an exact diagonalization procedure to this cluster, we have verified that our model indeed produces an intricate interplay between charge and lattice dynamics. Then, by using the Kuramoto model for the synchronization of coupled quantum oscillators, we have found a first-order phase transition for the IQTPs into a synchronized, phase-locked phase. Most importantly, we have shown that this transition results specifically from the anharmonicity. Finally, we have provided a phase diagram showing the onset of the phase-locking of IQTPs as a function of the charge-lattice and anharmonic couplings in our model. We have found that the charge, initially confined to the apical oxygens, is partially pumped into the CuO2 plane in the synchronized phase, which suggests a possible connection between the synchronized dynamic structure and high-temperature superconductivity (HTSC) in doped cuprates.},

  doi          = {10.3390/condmat6040052},

  journal      = {Condensed Matter},

  number       = 4,

  volume       = 6,

  place        = {United States},

  year         = {Thu Dec 16 00:00:00 EST 2021},

  month        = {Thu Dec 16 00:00:00 EST 2021}

}

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Title: Evolution of Charge-Lattice Dynamics across the Kuramoto Synchronization Phase Diagram of Quantum Tunneling Polarons in Cuprate Superconductors

Abstract

Citation Formats

Anomalous Dispersion of LO Phonons in La 1.85 Sr 0.15 CuO 4 at Low Temperatures journal, January 1999

Oxygenation and Critical-Temperature Optimization in M-1212 Cuprates $\bf (Sr,\,Ba)_{2}YCu_{2.8}M_{0.2}O_{\ninmbi{z}}$ (M=Ti, Ga, Ge, Al) journal, February 1996

Characterization of a split axial-oxygen site in TlBa 2 Ca 3 Cu 4 O 11 by extended x-ray-absorption fine-structure spectroscopy journal, November 1991

Anomalous isotope effect near a 2.5 Lifshitz transition in a multi-band multi-condensate superconductor made of a superlattice of stripes journal, November 2012

Local lattice instability and superconductivity in La 1.85 Sr 0.15 Cu 1 − x M x O 4 ( M = Mn , Ni, and Co) journal, February 2009

Altered Sr environment in La 2 − x Sr x CuO 4 journal, July 1997

The Measurement of the Polaron Size in the Metallic Phase of Cuprate Superconductors journal, September 1995

Enhanced superconductivity in Sr2CuO4−v journal, July 2009

Determination of the Local Lattice Distortions in the Cu O 2 Plane of L a 1.85 S r 0.15 Cu O 4 journal, April 1996

Anomaly of phonon state of superconductingYBa2Cu3O7studied by inelastic neutron scattering journal, July 1992

Reverse Monte Carlo study of Cu—O bond distortions in YBa 2 Cu 3 O 6.9 journal, May 2012

Axial Oxygen-Centered Lattice Instabilities and High-Temperature Superconductivity journal, June 1990

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Frequency locking in Josephson arrays: Connection with the Kuramoto model journal, February 1998

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Nonadiabatic coupling of the dynamical structure to the superconductivity in YSr 2 Cu 2.75 Mo 0.25 O 7.54 and Sr 2 CuO 3.3 journal, December 2020

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TEM and EELS studies of Sr2CuO3+δ (nominal δ=0.1–0.4): Effect of apical oxygen ordering on TC of cuprate superconductors journal, December 2007

Apical Charge Flux-Modulated In-Plane Transport Properties of Cuprate Superconductors journal, October 2018

Signatures of mesoscopic Jahn Teller polaron inhomogeneities in high-temperature superconductors journal, February 2003

Extended x-ray absorption fine-structure indication of a double-well potential for oxygen vibration in Ba 1 - x K x BiO 3 journal, April 2000

Superconductivity-induced phonon anomalies in high-Tcsuperconductors: A Raman intensity study journal, May 1999

Lattice Instability in High-Temperature Superconducting Cuprates: Polarons Probed by EXAFS journal, November 2008

Anomalous density fluctuations in a strange metal journal, May 2018

The Vanishing Superfluid Density in Cuprates—and Why It Matters journal, July 2018

Change of the in-plane Cu–O bond distribution in La2CuO4.1 across journal, September 2008

Local lattice distortions and dynamics in extremely overdoped superconducting YSr 2 Cu 2.75 Mo 0.25 O 7.54 journal, February 2020

Cooperative Phenomena in Coupled Oscillator Systems under External Fields journal, January 1988

Local structure of Sr 2 CuO 3.3 , a 95 K cuprate superconductor without CuO 2 planes journal, February 2020

Evidence for an axial oxygen-centered lattice fluctuation associated with the superconducting transition in YBa 2 Cu 3 O 7 journal, September 1990

The Kuramoto model: A simple paradigm for synchronization phenomena journal, April 2005

Correlation between axial-oxygen anharmonicity and T c in YBa 2 Cu 3 O 7 and related compounds journal, August 1991

Polaron origin for anharmonicity of the axial oxygen in YBa 2 Cu 3 O 7 journal, May 1992

Fe–As Bond Fluctuations in a Double-Well Potential in LaFeAsO journal, October 2016

Anomalous Dispersion of Longitudinal Optical Phonons in Nd 1.86 Ce 0.14 CuO 4 + δ Determined by Inelastic X-Ray Scattering journal, April 2002

Stripe structure in the CuO 2 plane of perovskite superconductors journal, November 1996

Superconducting Gap Δ c , the Pseudogap Δ p , and Pair Fluctuations above T c in Overdoped Y 1 − x Ca x Ba 2 Cu 3 O 7 − δ from Femtosecond Time-Domain Spectroscopy journal, June 1999

A new modulated structure in Sr2CuO3+δ superconductor synthesized under high pressure journal, February 2014

Correlation-function analysis of nonlinear and nonadiabatic systems: Polaron tunneling journal, April 1995

Superconductivity in a unique type of copper oxide journal, May 2019

Unusual behavior of cuprates explained by heterogeneous charge localization journal, January 2019

Numerical evidence of fluctuating stripes in the normal state of high- T c cuprate superconductors journal, November 2017

Coupled dynamics of fast spins and slow exchange interactions in theXYspin glass journal, May 2001

Axial oxygen-centered lattice instabilities in YBa 2 Cu 3 O 7 : An application of the analysis of extended x-ray-absorption fine structure in anharmonic systems journal, February 1992

A model of desynchronizing deep brain stimulation with a demand-controlled coordinated reset of neural subpopulations journal, August 2003

Comparison of local structure measurements from c -axis polarized XAFS between a film and a single crystal of YBa 2 Cu 3 O 7 − δ as a function of temperature journal, October 1996

Planar oxygen-centered lattice instabilities in Tl-based high- temperature superconductors journal, February 1994

Local structural instability of high-T c oxide superconductors studied by inelastic neutron scattering journal, April 1994

Synchronization of metronomes journal, October 2002

Universal superconducting precursor in three classes of unconventional superconductors journal, June 2019

Local structural anomaly near Tc observed by pulsed neutron scattering journal, December 1991

Classical synchronization indicates persistent entanglement in isolated quantum systems journal, April 2017

Anomalous Dispersion of LO Phonons in ${La}_{1.85} {Sr}_{0.15} {CuO}_{4}$ at Low Temperatures
journal, January 1999

Oxygenation and Critical-Temperature Optimization in M-1212 Cuprates $\bf (Sr,\,Ba)_{2}YCu_{2.8}M_{0.2}O_{\ninmbi{z}}$ (M=Ti, Ga, Ge, Al)
journal, February 1996

Characterization of a split axial-oxygen site in ${TlBa}_{2}$ ${Ca}_{3}$ ${Cu}_{4}$ $O_{11}$ by extended x-ray-absorption fine-structure spectroscopy
journal, November 1991

Anomalous isotope effect near a 2.5 Lifshitz transition in a multi-band multi-condensate superconductor made of a superlattice of stripes
journal, November 2012

Local lattice instability and superconductivity in ${La}_{1.85} {Sr}_{0.15} {Cu}_{1 - x} M_{x} O_{4}$ ( $M = Mn$ , Ni, and Co)
journal, February 2009

Altered Sr environment in ${La}_{2 - x} {Sr}_{x} {CuO}_{4}$
journal, July 1997

The Measurement of the Polaron Size in the Metallic Phase of Cuprate Superconductors
journal, September 1995

Enhanced superconductivity in Sr2CuO4−v
journal, July 2009

Determination of the Local Lattice Distortions in the Cu $O_{2}$ Plane of L $a_{1.85}$ S $r_{0.15}$ Cu $O_{4}$
journal, April 1996

Anomaly of phonon state of superconductingYBa2Cu3O7studied by inelastic neutron scattering
journal, July 1992

Reverse Monte Carlo study of Cu—O bond distortions in YBa ₂ Cu ₃ O _6.9
journal, May 2012

Axial Oxygen-Centered Lattice Instabilities and High-Temperature Superconductivity
journal, June 1990

Bulk superconductivity at 84 K in the strongly overdoped regime of cuprates
journal, November 2016

Frequency locking in Josephson arrays: Connection with the Kuramoto model
journal, February 1998

Unconventional superconductivity as a quantum Kuramoto synchronization problem in random elasto-nuclear oscillator networks
journal, January 2021

Nonadiabatic coupling of the dynamical structure to the superconductivity in YSr ₂ Cu _2.75 Mo _0.25 O _7.54 and Sr ₂ CuO _3.3
journal, December 2020

The double-well oscillating potential of oxygen atoms in perovskite system Ba(K)BiO3: EXAFS – analysis results
journal, June 2000

TEM and EELS studies of Sr2CuO3+δ (nominal δ=0.1–0.4): Effect of apical oxygen ordering on TC of cuprate superconductors
journal, December 2007

Apical Charge Flux-Modulated In-Plane Transport Properties of Cuprate Superconductors
journal, October 2018

Signatures of mesoscopic Jahn Teller polaron inhomogeneities in high-temperature superconductors
journal, February 2003

Extended x-ray absorption fine-structure indication of a double-well potential for oxygen vibration in Ba _{1 - x} K _x BiO ₃
journal, April 2000

Superconductivity-induced phonon anomalies in high-Tcsuperconductors: A Raman intensity study
journal, May 1999

Lattice Instability in High-Temperature Superconducting Cuprates: Polarons Probed by EXAFS
journal, November 2008

Anomalous density fluctuations in a strange metal
journal, May 2018

The Vanishing Superfluid Density in Cuprates—and Why It Matters
journal, July 2018

Change of the in-plane Cu–O bond distribution in La2CuO4.1 across
journal, September 2008

Local lattice distortions and dynamics in extremely overdoped superconducting YSr ₂ Cu _2.75 Mo _0.25 O _7.54
journal, February 2020

Cooperative Phenomena in Coupled Oscillator Systems under External Fields
journal, January 1988

Local structure of Sr ₂ CuO _3.3 , a 95 K cuprate superconductor without CuO ₂ planes
journal, February 2020

Evidence for an axial oxygen-centered lattice fluctuation associated with the superconducting transition in ${YBa}_{2}$ ${Cu}_{3}$ $O_{7}$
journal, September 1990

The Kuramoto model: A simple paradigm for synchronization phenomena
journal, April 2005

Correlation between axial-oxygen anharmonicity and $T_{c}$ in ${YBa}_{2}$ ${Cu}_{3}$ $O_{7}$ and related compounds
journal, August 1991

Polaron origin for anharmonicity of the axial oxygen in ${YBa}_{2}$ ${Cu}_{3}$ $O_{7}$
journal, May 1992

Fe–As Bond Fluctuations in a Double-Well Potential in LaFeAsO
journal, October 2016

Anomalous Dispersion of Longitudinal Optical Phonons in ${Nd}_{1.86} {Ce}_{0.14} {CuO}_{4 + δ}$ Determined by Inelastic X-Ray Scattering
journal, April 2002

Stripe structure in the ${CuO}_{2}$ plane of perovskite superconductors
journal, November 1996

Superconducting Gap $Δ_{c}$ , the Pseudogap $Δ_{p}$ , and Pair Fluctuations above $T_{c}$ in Overdoped $Y_{1 - x} Ca_{x} Ba_{2} Cu_{3} O_{7 - δ}$ from Femtosecond Time-Domain Spectroscopy
journal, June 1999

A new modulated structure in Sr2CuO3+δ superconductor synthesized under high pressure
journal, February 2014

Correlation-function analysis of nonlinear and nonadiabatic systems: Polaron tunneling
journal, April 1995

Superconductivity in a unique type of copper oxide
journal, May 2019

Unusual behavior of cuprates explained by heterogeneous charge localization
journal, January 2019

Numerical evidence of fluctuating stripes in the normal state of high- T _c cuprate superconductors
journal, November 2017

Coupled dynamics of fast spins and slow exchange interactions in theXYspin glass
journal, May 2001

Axial oxygen-centered lattice instabilities in ${YBa}_{2}$ ${Cu}_{3}$ $O_{7}$ : An application of the analysis of extended x-ray-absorption fine structure in anharmonic systems
journal, February 1992

A model of desynchronizing deep brain stimulation with a demand-controlled coordinated reset of neural subpopulations
journal, August 2003

Comparison of local structure measurements from c -axis polarized XAFS between a film and a single crystal of ${YBa}_{2}$ ${Cu}_{3}$ $O_{7 - δ}$ as a function of temperature
journal, October 1996

Planar oxygen-centered lattice instabilities in Tl-based high- temperature superconductors
journal, February 1994

Local structural instability of high-T c oxide superconductors studied by inelastic neutron scattering
journal, April 1994

Synchronization of metronomes
journal, October 2002

Universal superconducting precursor in three classes of unconventional superconductors
journal, June 2019

Local structural anomaly near Tc observed by pulsed neutron scattering
journal, December 1991

Classical synchronization indicates persistent entanglement in isolated quantum systems
journal, April 2017