Numerical evidence of fluctuating stripes in the normal state of high- T c cuprate superconductors

Huang, Edwin W.; Mendl, Christian B.; Liu, Shenxiu; Johnston, Steve; Jiang, Hong-Chen; Moritz, Brian; Devereaux, Thomas P.

doi:10.1126/science.aak9546

Title: Numerical evidence of fluctuating stripes in the normal state of high- T _c cuprate superconductors

Abstract

Upon doping, Mott insulators often exhibit symmetry breaking where charge carriers and their spins organize into patterns known as stripes. For high–transition temperature cuprate superconductors, stripes are widely suspected to exist in a fluctuating form. We used numerically exact determinant quantum Monte Carlo calculations to demonstrate dynamical stripe correlations in the three-band Hubbard model, which represents the local electronic structure of the copper-oxygen plane. Our results, which are robust to varying parameters, cluster size, and boundary conditions, support the interpretation of experimental observations such as the hourglass magnetic dispersion and the Yamada plot of incommensurability versus doping in terms of the physics of fluctuating stripes. Furthermore, these findings provide a different perspective on the intertwined orders emerging from the cuprates’ normal state.

Authors:

;

; Johnston, Steve; Jiang, Hong-Chen;

;

Publication Date:: Thu Nov 30 00:00:00 EST 2017

Research Org.:: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1456246

Alternate Identifier(s):: OSTI ID: 1420165

Grant/Contract Number:: award299944; AC02-76SF00515

Resource Type:: Published Article

Journal Name:: Science

Additional Journal Information:: Journal Name: Science Journal Volume: 358 Journal Issue: 6367; Journal ID: ISSN 0036-8075

Publisher:: American Association for the Advancement of Science (AAAS)

Country of Publication:: United States

Language:: English

Subject:: 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats


                    Huang, Edwin W., Mendl, Christian B., Liu, Shenxiu, Johnston, Steve, Jiang, Hong-Chen, Moritz, Brian, and Devereaux, Thomas P. Numerical evidence of fluctuating stripes in the normal state of high- T c cuprate superconductors.  United States: N. p., 2017. 
Web.  doi:10.1126/science.aak9546.

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                    Huang, Edwin W., Mendl, Christian B., Liu, Shenxiu, Johnston, Steve, Jiang, Hong-Chen, Moritz, Brian, & Devereaux, Thomas P. Numerical evidence of fluctuating stripes in the normal state of high- T c cuprate superconductors.  United States.  https://doi.org/10.1126/science.aak9546

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                    Huang, Edwin W., Mendl, Christian B., Liu, Shenxiu, Johnston, Steve, Jiang, Hong-Chen, Moritz, Brian, and Devereaux, Thomas P. Thu .  
"Numerical evidence of fluctuating stripes in the normal state of high- T c cuprate superconductors".  United States.  https://doi.org/10.1126/science.aak9546.

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@article{osti_1456246,

  title        = {Numerical evidence of fluctuating stripes in the normal state of high- T c cuprate superconductors},

  author       = {Huang, Edwin W. and Mendl, Christian B. and Liu, Shenxiu and Johnston, Steve and Jiang, Hong-Chen and Moritz, Brian and Devereaux, Thomas P.},

  abstractNote = {Upon doping, Mott insulators often exhibit symmetry breaking where charge carriers and their spins organize into patterns known as stripes. For high–transition temperature cuprate superconductors, stripes are widely suspected to exist in a fluctuating form. We used numerically exact determinant quantum Monte Carlo calculations to demonstrate dynamical stripe correlations in the three-band Hubbard model, which represents the local electronic structure of the copper-oxygen plane. Our results, which are robust to varying parameters, cluster size, and boundary conditions, support the interpretation of experimental observations such as the hourglass magnetic dispersion and the Yamada plot of incommensurability versus doping in terms of the physics of fluctuating stripes. Furthermore, these findings provide a different perspective on the intertwined orders emerging from the cuprates’ normal state.},

  doi          = {10.1126/science.aak9546},

  journal      = {Science},

  number       = 6367,

  volume       = 358,

  place        = {United States},

  year         = {Thu Nov 30 00:00:00 EST 2017},

  month        = {Thu Nov 30 00:00:00 EST 2017}

}

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Title: Numerical evidence of fluctuating stripes in the normal state of high- T c cuprate superconductors

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Independent Freezing of Charge and Spin Dynamics in La 1.5 Sr 0.5 CoO 4 journal, November 2000

Unraveling the Nature of Charge Excitations in La 2 CuO 4 with Momentum-Resolved Cu K -Edge Resonant Inelastic X-Ray Scattering journal, October 2010

Charged magnetic domain lines and the magnetism of high- T c oxides journal, October 1989

Studying Two-Dimensional Systems with the Density Matrix Renormalization Group journal, March 2012

Thermodynamic and Electron Diffraction Signatures of Charge and Spin Ordering in La 1 − x Ca x MnO 3 journal, April 1996

Doping dependence of the spatially modulated dynamical spin correlations and the superconducting-transition temperature in La 2 − x Sr x CuO 4 journal, March 1998

Spin and Charge Order in the Doped Hubbard Model: Long-Wavelength Collective Modes journal, March 2010

Direct observation of a one-dimensional static spin modulation in insulating La 1.95 Sr 0.05 CuO 4 journal, February 2000

Spin-gap proximity effect mechanism of high-temperature superconductivity journal, September 1997

Bayesian inference and the analytic continuation of imaginary-time quantum Monte Carlo data journal, May 1996

Doping asymmetry and striping in a three-orbital CuO 2 Hubbard model journal, November 2015

The effect of collective spin-1 excitations on electronic spectra in high- T c superconductors journal, January 2006

Incommensurate Spin Fluctuations in High-Transition Temperature Superconductors journal, August 1997

Electronic liquid-crystal phases of a doped Mott insulator journal, June 1998

Competing States in the t - J Model: Uniform d -Wave State versus Stripe State journal, July 2014

Geometry dependence of the sign problem in quantum Monte Carlo simulations journal, July 2015

Observing the fluctuating stripes in high-T c superconductors journal, December 2007

Charge and Spin Structure in YBa 2 Cu 3 O 6.35 journal, February 2002

Local Magnetic Order vs Superconductivity in a Layered Cuprate journal, August 2000

Consistent description of high- T c superconductors with the three-band Hubbard model journal, January 1992

Charge segregation and antiferromagnetism in high-Tc superconductors journal, September 1999

Electronic Liquid Crystal State in the High-Temperature Superconductor YBa2Cu3O6.45 journal, January 2008

Simultaneous Ordering of Holes and Spins in La 2 Ni O 4.125 journal, August 1994

Density Matrix Renormalization Group Study of the Striped Phase in the 2D t − J Model journal, February 1998

Evidence for stripe correlations of spins and holes in copper oxide superconductors journal, June 1995

Testing the itinerancy of spin dynamics in superconducting Bi2Sr2CaCu2O8+δ journal, August 2009

Derivation of effective spin models from a three band model for CuO -planes journal, July 2002

Quantum magnetic excitations from stripes in copper oxide superconductors journal, June 2004

The structure of the high-energy spin excitations in a high-transition-temperature superconductor journal, June 2004

Neutron-scattering study of static antiferromagnetic correlations in La 2 − x Sr x Cu 1 − y Zn y O 4 journal, March 1999

Electronic phase separation in lightly doped La 2 − x Sr x Cu O 4 journal, March 2002

The geometric order of stripes and Luttinger liquids journal, October 2001

From incommensurate to dispersive spin-fluctuations: The high-energy inelastic spectrum in superconducting Y Ba 2 Cu 3 O 6.5 journal, January 2005

Freezing of anisotropic spin clusters in La 1.98 Sr 0.02 CuO 4 journal, February 2000

Static and dynamic spin correlations in the spin-glass phase of slightly doped La 2 − x Sr x CuO 4 journal, October 2000

Resonant X-Ray Scattering Studies of Charge Order in Cuprates journal, March 2016

Neutron-scattering study of stripe-phase order of holes and spins in La 1.48 Nd 0.4 Sr 0.12 CuO 4 journal, September 1996

Lattice symmetry breaking in cuprate superconductors: stripes, nematics, and superconductivity journal, November 2009

Neutron-scattering study of spin-density wave order in the superconducting state of excess-oxygen-doped La 2 CuO 4 + y journal, August 1999

Evolution of the resonance and incommensurate spin fluctuations in superconducting YBa 2 Cu 3 O 6 + x journal, January 2001

Magnetism in La2CuO4 based compounds journal, April 1989

How to detect fluctuating stripes in the high-temperature superconductors journal, October 2003

Characterizing the three-orbital Hubbard model with determinant quantum Monte Carlo journal, April 2016

Observation of incommensurate magnetic correlations at the lower critical concentration for superconductivity in La 2 − x Sr x CuO 4 ( x = 0.05 ) journal, July 1999

Stripe formation in doped Hubbard ladders journal, February 2005

Charged domain-wall dynamics in doped antiferromagnets and spin fluctuations in cuprate superconductors journal, April 1996

Direct observation of dynamic charge stripes in La2–xSrxNiO4 journal, March 2014

Fractionalized Metal in a Falicov-Kimball Model journal, August 2018

Fractionalized Metal in a Falicov-Kimball Model journal, August 2018

Charge density wave memory in a cuprate superconductor journal, March 2019

Scaling of domain cascades in stripe and skyrmion phases journal, April 2019

Charge-stripe crystal phase in an insulating cuprate journal, December 2018

Doping the holographic Mott insulator journal, July 2018

Evolution of Pairing Orders between Pseudogap and Superconducting Phases of Cuprate Superconductors journal, February 2019

Competing stripe and magnetic phases in the cuprates from first principles journal, December 2019

Anomalies in the pseudogap phase of the cuprates: competing ground states and the role of umklapp scattering journal, October 2019

Superconducting and pseudogap transition temperatures in high- T c cuprates and the T c dependence on pressure journal, February 2020

Minimal-size real-space d -wave pairing operator in CuO 2 planes journal, December 2019

Dynamical charge susceptibility in the Hubbard model journal, December 2019

Efficient hybridization fitting for dynamical mean-field theory via semi-definite relaxation journal, January 2020

Influence of magnetism and correlation on the spectral properties of doped Mott insulators journal, March 2018

Resonant inelastic x-ray scattering studies of magnons and bimagnons in the lightly doped cuprate La 2 − x Sr x CuO 4 journal, April 2018

Persistent low-energy phonon broadening near the charge-order q vector in the bilayer cuprate Bi 2 Sr 2 CaCu 2 O 8 + δ journal, July 2018

Dispersion, damping, and intensity of spin excitations in the monolayer ( Bi,Pb ) 2 ( Sr,La ) 2 CuO 6 + δ cuprate superconductor family journal, October 2018

Low-energy antiferromagnetic spin fluctuations limit the coherent superconducting gap in cuprates journal, December 2018

Metal-insulator transition in the ground state of the three-band Hubbard model at half filling journal, April 2019

Predicted Pressure-Induced Superconducting Transition in Electride Li 6 P journal, March 2019

Universal Relaxation in a Holographic Metallic Density Wave Phase journal, November 2019

Self-organized bosonic domain walls journal, January 2020

Incommensurate Phonon Anomaly and the Nature of Charge Density Waves in Cuprates journal, January 2018

Formation of Incommensurate Charge Density Waves in Cuprates journal, September 2019

Tuning from failed superconductor to failed insulator with magnetic field journal, June 2019

Superconductivity in the doped Hubbard model and its interplay with next-nearest hopping t ′ journal, September 2019

Planckian dissipation, minimal viscosity and the transport in cuprate strange metals journal, January 2019

Title: Numerical evidence of fluctuating stripes in the normal state of high- T _c cuprate superconductors

Independent Freezing of Charge and Spin Dynamics in ${La}_{1.5} {Sr}_{0.5} {CoO}_{4}$
journal, November 2000

Unraveling the Nature of Charge Excitations in ${La}_{2} {CuO}_{4}$ with Momentum-Resolved Cu $K$ -Edge Resonant Inelastic X-Ray Scattering
journal, October 2010

Charged magnetic domain lines and the magnetism of high- $T_{c}$ oxides
journal, October 1989

Studying Two-Dimensional Systems with the Density Matrix Renormalization Group
journal, March 2012

Thermodynamic and Electron Diffraction Signatures of Charge and Spin Ordering in ${La}_{1 - x} {Ca}_{x} {MnO}_{3}$
journal, April 1996

Doping dependence of the spatially modulated dynamical spin correlations and the superconducting-transition temperature in ${La}_{2 - x} {Sr}_{x} {CuO}_{4}$
journal, March 1998

Spin and Charge Order in the Doped Hubbard Model: Long-Wavelength Collective Modes
journal, March 2010

Direct observation of a one-dimensional static spin modulation in insulating ${La}_{1.95} {Sr}_{0.05} {CuO}_{4}$
journal, February 2000

Spin-gap proximity effect mechanism of high-temperature superconductivity
journal, September 1997

Bayesian inference and the analytic continuation of imaginary-time quantum Monte Carlo data
journal, May 1996

Doping asymmetry and striping in a three-orbital ${CuO}_{2}$ Hubbard model
journal, November 2015

The effect of collective spin-1 excitations on electronic spectra in high- T _c superconductors
journal, January 2006

Incommensurate Spin Fluctuations in High-Transition Temperature Superconductors
journal, August 1997

Electronic liquid-crystal phases of a doped Mott insulator
journal, June 1998

Competing States in the $t$ - $J$ Model: Uniform $d$ -Wave State versus Stripe State
journal, July 2014

Geometry dependence of the sign problem in quantum Monte Carlo simulations
journal, July 2015

Observing the fluctuating stripes in high-T _c superconductors
journal, December 2007

Charge and Spin Structure in ${YBa}_{2} {Cu}_{3} O_{6.35}$
journal, February 2002

Local Magnetic Order vs Superconductivity in a Layered Cuprate
journal, August 2000

Consistent description of high- $T_{c}$ superconductors with the three-band Hubbard model
journal, January 1992

Charge segregation and antiferromagnetism in high-Tc superconductors
journal, September 1999

Electronic Liquid Crystal State in the High-Temperature Superconductor YBa2Cu3O6.45
journal, January 2008

Simultaneous Ordering of Holes and Spins in ${La}_{2}$ Ni $O_{4.125}$
journal, August 1994

Density Matrix Renormalization Group Study of the Striped Phase in the 2D $t - J$ Model
journal, February 1998

Evidence for stripe correlations of spins and holes in copper oxide superconductors
journal, June 1995

Testing the itinerancy of spin dynamics in superconducting Bi2Sr2CaCu2O8+δ
journal, August 2009

Derivation of effective spin models from a three band model for CuO -planes
journal, July 2002

Quantum magnetic excitations from stripes in copper oxide superconductors
journal, June 2004

The structure of the high-energy spin excitations in a high-transition-temperature superconductor
journal, June 2004

Neutron-scattering study of static antiferromagnetic correlations in ${La}_{2 - x} {Sr}_{x} {Cu}_{1 - y} {Zn}_{y} O_{4}$
journal, March 1999

Electronic phase separation in lightly doped ${La}_{2 - x} {Sr}_{x} Cu O_{4}$
journal, March 2002

The geometric order of stripes and Luttinger liquids
journal, October 2001

From incommensurate to dispersive spin-fluctuations: The high-energy inelastic spectrum in superconducting $Y {Ba}_{2} {Cu}_{3} O_{6.5}$
journal, January 2005

Freezing of anisotropic spin clusters in ${La}_{1.98} {Sr}_{0.02} {CuO}_{4}$
journal, February 2000

Static and dynamic spin correlations in the spin-glass phase of slightly doped ${La}_{2 - x} {Sr}_{x} {CuO}_{4}$
journal, October 2000

Resonant X-Ray Scattering Studies of Charge Order in Cuprates
journal, March 2016

Neutron-scattering study of stripe-phase order of holes and spins in ${La}_{1.48}$ ${Nd}_{0.4}$ ${Sr}_{0.12}$ ${CuO}_{4}$
journal, September 1996

Lattice symmetry breaking in cuprate superconductors: stripes, nematics, and superconductivity
journal, November 2009

Neutron-scattering study of spin-density wave order in the superconducting state of excess-oxygen-doped ${La}_{2} {CuO}_{4 + y}$
journal, August 1999

Evolution of the resonance and incommensurate spin fluctuations in superconducting ${YBa}_{2} {Cu}_{3} O_{6 + x}$
journal, January 2001

Magnetism in La2CuO4 based compounds
journal, April 1989

How to detect fluctuating stripes in the high-temperature superconductors
journal, October 2003

Characterizing the three-orbital Hubbard model with determinant quantum Monte Carlo
journal, April 2016

Observation of incommensurate magnetic correlations at the lower critical concentration for superconductivity in ${La}_{2 - x} {Sr}_{x} {CuO}_{4}$ $(x = 0.05)$
journal, July 1999

Stripe formation in doped Hubbard ladders
journal, February 2005

Charged domain-wall dynamics in doped antiferromagnets and spin fluctuations in cuprate superconductors
journal, April 1996

Direct observation of dynamic charge stripes in La2–xSrxNiO4
journal, March 2014

Fractionalized Metal in a Falicov-Kimball Model
journal, August 2018

Fractionalized Metal in a Falicov-Kimball Model
journal, August 2018

Charge density wave memory in a cuprate superconductor
journal, March 2019

Scaling of domain cascades in stripe and skyrmion phases
journal, April 2019

Charge-stripe crystal phase in an insulating cuprate
journal, December 2018

Doping the holographic Mott insulator
journal, July 2018

Evolution of Pairing Orders between Pseudogap and Superconducting Phases of Cuprate Superconductors
journal, February 2019

Competing stripe and magnetic phases in the cuprates from first principles
journal, December 2019

Anomalies in the pseudogap phase of the cuprates: competing ground states and the role of umklapp scattering
journal, October 2019

Superconducting and pseudogap transition temperatures in high- T _c cuprates and the T _c dependence on pressure
journal, February 2020

Minimal-size real-space $d$ -wave pairing operator in ${CuO}_{2}$ planes
journal, December 2019

Dynamical charge susceptibility in the Hubbard model
journal, December 2019

Efficient hybridization fitting for dynamical mean-field theory via semi-definite relaxation
journal, January 2020

Influence of magnetism and correlation on the spectral properties of doped Mott insulators
journal, March 2018

Resonant inelastic x-ray scattering studies of magnons and bimagnons in the lightly doped cuprate ${La}_{2 - x} {Sr}_{x} {CuO}_{4}$
journal, April 2018

Persistent low-energy phonon broadening near the charge-order $q$ vector in the bilayer cuprate ${Bi}_{2} {Sr}_{2} {CaCu}_{2} O_{8 + δ}$
journal, July 2018

Dispersion, damping, and intensity of spin excitations in the monolayer ${(Bi,Pb)}_{2} {(Sr,La)}_{2} {CuO}_{6 + δ}$ cuprate superconductor family
journal, October 2018

Low-energy antiferromagnetic spin fluctuations limit the coherent superconducting gap in cuprates
journal, December 2018

Metal-insulator transition in the ground state of the three-band Hubbard model at half filling
journal, April 2019

Predicted Pressure-Induced Superconducting Transition in Electride ${Li}_{6} P$
journal, March 2019

Universal Relaxation in a Holographic Metallic Density Wave Phase
journal, November 2019

Self-organized bosonic domain walls
journal, January 2020

Incommensurate Phonon Anomaly and the Nature of Charge Density Waves in Cuprates
journal, January 2018

Formation of Incommensurate Charge Density Waves in Cuprates
journal, September 2019

Tuning from failed superconductor to failed insulator with magnetic field
journal, June 2019

Superconductivity in the doped Hubbard model and its interplay with next-nearest hopping t ′
journal, September 2019

Planckian dissipation, minimal viscosity and the transport in cuprate strange metals
journal, January 2019