Signatures of pairing in the magnetic excitation spectrum of strongly correlated two-leg ladders [Signatures of pairing in the magnetic excitation spectrum of strongly correlated ladders]

doi:10.1103/PhysRevB.96.205120

Title: Signatures of pairing in the magnetic excitation spectrum of strongly correlated two-leg ladders [Signatures of pairing in the magnetic excitation spectrum of strongly correlated ladders]

Abstract

Magnetic interactions are widely believed to play a crucial role in the microscopic mechanism leading to high critical temperature superconductivity. It is therefore important to study the signatures of pairing in the magnetic excitation spectrum of simple models known to show unconventional superconducting tendencies. Using the density matrix renormalization group technique, we calculate the dynamical spin structure factor S(k,ω) of a generalized t–U–J Hubbard model away from half filling in a two-leg ladder geometry. The addition of J enhances pairing tendencies. We analyze quantitatively the signatures of pairing in the magnetic excitation spectra. We found that the superconducting pair-correlation strength, that can be estimated independently from ground state properties, is closely correlated with the integrated low-energy magnetic spectral weight in the vicinity of (π,π). In this wave-vector region, robust spin incommensurate features develop with increasing doping. The branch of the spectrum with rung direction wave vector k _rung=0 does not change substantially with doping where pairing dominates and thus plays a minor role. As a result, we discuss the implications of our results for neutron scattering experiments, where the spin excitation dynamics of hole-doped quasi-one-dimensional magnetic materials can be measured and also address implications for recent resonant inelastic x-ray scatteringmore » experiments.« less

Authors:

^[1]; Patel, Niravkumar D. ^[1]; Dagotto, Elbio R. ^[1];

^[2]

The Univ. of Tennessee, Knoxville, TN (United States); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

Publication Date:: 2017-11-13

Research Org.:: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)

OSTI Identifier:: 1413613

Alternate Identifier(s):: OSTI ID: 1408556

Grant/Contract Number:: AC05-00OR22725

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review B

Additional Journal Information:: Journal Volume: 96; Journal Issue: 20; Journal ID: ISSN 2469-9950

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats


                    Nocera, Alberto, Patel, Niravkumar D., Dagotto, Elbio R., and Alvarez, Gonzalo. Signatures of pairing in the magnetic excitation spectrum of strongly correlated two-leg ladders [Signatures of pairing in the magnetic excitation spectrum of strongly correlated ladders].  United States: N. p., 2017. 
        Web.  doi:10.1103/PhysRevB.96.205120.

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                    Nocera, Alberto, Patel, Niravkumar D., Dagotto, Elbio R., & Alvarez, Gonzalo. Signatures of pairing in the magnetic excitation spectrum of strongly correlated two-leg ladders [Signatures of pairing in the magnetic excitation spectrum of strongly correlated ladders].  United States.  doi:10.1103/PhysRevB.96.205120.

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                    Nocera, Alberto, Patel, Niravkumar D., Dagotto, Elbio R., and Alvarez, Gonzalo. Mon .  
        "Signatures of pairing in the magnetic excitation spectrum of strongly correlated two-leg ladders [Signatures of pairing in the magnetic excitation spectrum of strongly correlated ladders]".  United States.  doi:10.1103/PhysRevB.96.205120.  https://www.osti.gov/servlets/purl/1413613.

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@article{osti_1413613,

  title        = {Signatures of pairing in the magnetic excitation spectrum of strongly correlated two-leg ladders [Signatures of pairing in the magnetic excitation spectrum of strongly correlated ladders]},

  author       = {Nocera, Alberto and Patel, Niravkumar D. and Dagotto, Elbio R. and Alvarez, Gonzalo},

  abstractNote = {Magnetic interactions are widely believed to play a crucial role in the microscopic mechanism leading to high critical temperature superconductivity. It is therefore important to study the signatures of pairing in the magnetic excitation spectrum of simple models known to show unconventional superconducting tendencies. Using the density matrix renormalization group technique, we calculate the dynamical spin structure factor S(k,ω) of a generalized t–U–J Hubbard model away from half filling in a two-leg ladder geometry. The addition of J enhances pairing tendencies. We analyze quantitatively the signatures of pairing in the magnetic excitation spectra. We found that the superconducting pair-correlation strength, that can be estimated independently from ground state properties, is closely correlated with the integrated low-energy magnetic spectral weight in the vicinity of (π,π). In this wave-vector region, robust spin incommensurate features develop with increasing doping. The branch of the spectrum with rung direction wave vector krung=0 does not change substantially with doping where pairing dominates and thus plays a minor role. As a result, we discuss the implications of our results for neutron scattering experiments, where the spin excitation dynamics of hole-doped quasi-one-dimensional magnetic materials can be measured and also address implications for recent resonant inelastic x-ray scattering experiments.},

  doi          = {10.1103/PhysRevB.96.205120},

  journal      = {Physical Review B},

  number       = 20,

  volume       = 96,

  place        = {United States},

  year         = {2017},

  month        = {11}

}

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Title: Signatures of pairing in the magnetic excitation spectrum of strongly correlated two-leg ladders [Signatures of pairing in the magnetic excitation spectrum of strongly correlated ladders]

Abstract

Citation Formats

U − J synergy effect for high- T c superconductors journal, February 2005

Pairing Mechanism in Fe-Based Superconductors journal, March 2012

Pairing Correlations on t − U − J Ladders journal, May 2000

Resonant Magnetic Excitations at High Energy in Superconducting Y B a 2 C u 3 O 6.85 journal, October 2004

Doping dependence of the magnetic excitations in La 2 − x Sr x CuO 4 journal, February 2017

Resonant inelastic x-ray scattering studies of elementary excitations journal, June 2011

Decrease of d -wave pairing strength in spite of the persistence of magnetic excitations in the overdoped Hubbard model journal, July 2017

Spectral functions with the density matrix renormalization group: Krylov-space approach for correction vectors journal, November 2016

Cyclic spin exchange in cuprate spin ladders journal, November 2002

Persistence of magnetic excitations in La2−xSrxCuO4 from the undoped insulator to the heavily overdoped non-superconducting metal journal, August 2013

Two-dimensional resonant magnetic excitation in BaFe 1.84 Co 0.16 As 2 journal, March 2009

Incommensurate itinerant antiferromagnetic excitations and spin resonance in the FeTe 0.6 Se 0.4 superconductor journal, June 2010

Dynamical properties of two coupled Hubbard chains at half-filling journal, March 1996

Kinetic exchange interaction in a narrow S-band journal, May 1977

The resonant magnetic mode: A common feature of high-Tc superconductors journal, August 2005

Dynamics of the Pairing Interaction in the Hubbard and t − J Models of High-Temperature Superconductors journal, June 2008

Density matrix formulation for quantum renormalization groups journal, November 1992

Surprises on the Way from One- to Two-Dimensional Quantum Magnets: The Ladder Materials journal, February 1996

Disappearance of Antiferromagnetic Spin Excitations in Overdoped La 2 − x Sr x CuO 4 journal, June 2007

Superconducting Gap for a Two-Leg t − J Ladder journal, September 2003

Spin excitations in a single La2CuO4 layer journal, September 2012

Enhanced bound-state formation in two dimensions via stripelike hopping anisotropies journal, February 2001

Doped two-leg ladder with ring exchange: Exact diagonalization and density matrix renormalization group computations journal, July 2005

Persistent spin excitations in doped antiferromagnets revealed by resonant inelastic light scattering journal, February 2014

Enhanced d x 2 − y 2 pairing correlations in the two-leg Hubbard ladder journal, September 1997

Friedel oscillations and charge density waves in chains and ladders journal, April 2002

d -wave superconductivity and its coexistence with antiferromagnetism in the t – J – U model: Statistically consistent Gutzwiller approach journal, September 2013

Magnetic excitations and exchange interactions in the spin- 1 2 two-leg ladder compound La 6 Ca 8 Cu 24 O 41 journal, October 2000

Comparison of different ladder models journal, October 1998

Unconventional superconductivity in Ba0.6K0.4Fe2As2 from inelastic neutron scattering journal, December 2008

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

Experiments on ladders reveal a complex interplay between a spin-gapped normal state and superconductivity journal, November 1999

Magnetic excitation spectra of strongly correlated quasi-one-dimensional systems: Heisenberg versus Hubbard-like behavior journal, November 2016

Antiferromagnetic order and spin dynamics in iron-based superconductors journal, August 2015

Intrinsic electron and hole bands in electron-doped cuprate superconductors journal, January 2009

Two-dimensional geometry of spin excitations in the high-transition-temperature superconductor YBa2Cu3O6+x journal, August 2004

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

Spin-gap evolution upon Ca doping in the spin-ladder series Sr 14 − x Ca x Cu 24 O 41 studied by inelastic neutron scattering journal, July 2013

Superconductivity in ladders and coupled planes journal, March 1992

Dynamical correlation functions using the density matrix renormalization group journal, July 1999

Superconductivity in the Ladder Material Sr 0.4 Ca 13.6 Cu 24 O 41.84 journal, September 1996

High-energy magnetic excitations in overdoped La 2 − x Sr x CuO 4 studied by neutron and resonant inelastic x-ray scattering journal, May 2015

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

The Doped Two-Chain Hubbard Model journal, April 1995

Gossamer Superconductor, Mott Insulator, and Resonating Valence Bond State in Correlated Electron Systems journal, May 2003

Evidence for a Superfluid Density in t - J Ladders journal, July 1995

Pairing and excitation spectrum in doped t - J ladders journal, June 1994

Stripe phases in high-temperature superconductors journal, August 1999

Pair correlations in doped Hubbard ladders journal, November 2015

Correlated electrons in high-temperature superconductors journal, July 1994

Universal magnetic excitation spectrum in cuprates journal, January 2006

The ground state of the two-leg Hubbard ladder a density-matrix renormalization group study journal, October 1996

Photoemission, inverse photoemission and superconducting correlations in Hubbard and t-J ladders: role of the anisotropy between legs and rungs journal, January 1999

Electronic origin of high-temperature superconductivity in single-layer FeSe superconductor journal, January 2012

Magnetism and its microscopic origin in iron-based high-temperature superconductors journal, October 2012

Neutron scattering resonance and the iron-pnictide superconducting gap journal, April 2009

Dynamical spin response of doped two-leg Hubbard-like ladders journal, April 2007

Superconducting condensation energy and an antiferromagnetic exchange-based pairing mechanism journal, October 1998

Spin Waves and Electronic Interactions in La 2 CuO 4 journal, June 2001

Spin Gap and Resonance at the Nesting Wave Vector in Superconducting FeSe 0.4 Te 0.6 journal, August 2009

A common thread: The pairing interaction for unconventional superconductors journal, October 2012

Resonant magnetic mode in superconducting two-leg ladders journal, June 2004

The puzzle of high temperature superconductivity in layered iron pnictides and chalcogenides journal, October 2010

$U − J$ synergy effect for high- $T_{c}$ superconductors
journal, February 2005

Pairing Mechanism in Fe-Based Superconductors
journal, March 2012

Pairing Correlations on $t - U - J$ Ladders
journal, May 2000

Resonant Magnetic Excitations at High Energy in Superconducting $Y B a_{2} C u_{3} O_{6.85}$
journal, October 2004

Doping dependence of the magnetic excitations in ${La}_{2 - x} {Sr}_{x} {CuO}_{4}$
journal, February 2017

Resonant inelastic x-ray scattering studies of elementary excitations
journal, June 2011

Decrease of $d$ -wave pairing strength in spite of the persistence of magnetic excitations in the overdoped Hubbard model
journal, July 2017

Spectral functions with the density matrix renormalization group: Krylov-space approach for correction vectors
journal, November 2016

Cyclic spin exchange in cuprate spin ladders
journal, November 2002

Persistence of magnetic excitations in La2−xSrxCuO4 from the undoped insulator to the heavily overdoped non-superconducting metal
journal, August 2013

Two-dimensional resonant magnetic excitation in ${BaFe}_{1.84} {Co}_{0.16} {As}_{2}$
journal, March 2009

Incommensurate itinerant antiferromagnetic excitations and spin resonance in the ${FeTe}_{0.6} {Se}_{0.4}$ superconductor
journal, June 2010

Dynamical properties of two coupled Hubbard chains at half-filling
journal, March 1996

Kinetic exchange interaction in a narrow S-band
journal, May 1977

The resonant magnetic mode: A common feature of high-Tc superconductors
journal, August 2005

Dynamics of the Pairing Interaction in the Hubbard and $t − J$ Models of High-Temperature Superconductors
journal, June 2008

Density matrix formulation for quantum renormalization groups
journal, November 1992

Surprises on the Way from One- to Two-Dimensional Quantum Magnets: The Ladder Materials
journal, February 1996

Disappearance of Antiferromagnetic Spin Excitations in Overdoped ${La}_{2 - x} {Sr}_{x} {CuO}_{4}$
journal, June 2007

Superconducting Gap for a Two-Leg $t − J$ Ladder
journal, September 2003

Spin excitations in a single La2CuO4 layer
journal, September 2012

Enhanced bound-state formation in two dimensions via stripelike hopping anisotropies
journal, February 2001

Doped two-leg ladder with ring exchange: Exact diagonalization and density matrix renormalization group computations
journal, July 2005

Persistent spin excitations in doped antiferromagnets revealed by resonant inelastic light scattering
journal, February 2014

Enhanced $d_{x^{2} - y^{2}}$ pairing correlations in the two-leg Hubbard ladder
journal, September 1997

Friedel oscillations and charge density waves in chains and ladders
journal, April 2002

$d$ -wave superconductivity and its coexistence with antiferromagnetism in the $t$ – $J$ – $U$ model: Statistically consistent Gutzwiller approach
journal, September 2013

Magnetic excitations and exchange interactions in the spin- $\frac{1}{2}$ two-leg ladder compound ${La}_{6} {Ca}_{8} {Cu}_{24} O_{41}$
journal, October 2000

Comparison of different ladder models
journal, October 1998

Unconventional superconductivity in Ba0.6K0.4Fe2As2 from inelastic neutron scattering
journal, December 2008

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

Experiments on ladders reveal a complex interplay between a spin-gapped normal state and superconductivity
journal, November 1999

Magnetic excitation spectra of strongly correlated quasi-one-dimensional systems: Heisenberg versus Hubbard-like behavior
journal, November 2016

Antiferromagnetic order and spin dynamics in iron-based superconductors
journal, August 2015

Intrinsic electron and hole bands in electron-doped cuprate superconductors
journal, January 2009

Two-dimensional geometry of spin excitations in the high-transition-temperature superconductor YBa2Cu3O6+x
journal, August 2004

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

Spin-gap evolution upon Ca doping in the spin-ladder series Sr $_{14 - x}$ Ca $_{x}$ Cu $_{24}$ O $_{41}$ studied by inelastic neutron scattering
journal, July 2013

Superconductivity in ladders and coupled planes
journal, March 1992

Dynamical correlation functions using the density matrix renormalization group
journal, July 1999

Superconductivity in the Ladder Material Sr _0.4 Ca _13.6 Cu ₂₄ O _41.84
journal, September 1996

High-energy magnetic excitations in overdoped ${La}_{2 - x} {Sr}_{x} {CuO}_{4}$ studied by neutron and resonant inelastic x-ray scattering
journal, May 2015

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

The Doped Two-Chain Hubbard Model
journal, April 1995

Gossamer Superconductor, Mott Insulator, and Resonating Valence Bond State in Correlated Electron Systems
journal, May 2003

Evidence for a Superfluid Density in $t$ - $J$ Ladders
journal, July 1995

Pairing and excitation spectrum in doped t - J ladders
journal, June 1994

Stripe phases in high-temperature superconductors
journal, August 1999

Pair correlations in doped Hubbard ladders
journal, November 2015

Correlated electrons in high-temperature superconductors
journal, July 1994

Universal magnetic excitation spectrum in cuprates
journal, January 2006

The ground state of the two-leg Hubbard ladder a density-matrix renormalization group study
journal, October 1996

Photoemission, inverse photoemission and superconducting correlations in Hubbard and t-J ladders: role of the anisotropy between legs and rungs
journal, January 1999

Electronic origin of high-temperature superconductivity in single-layer FeSe superconductor
journal, January 2012

Magnetism and its microscopic origin in iron-based high-temperature superconductors
journal, October 2012

Neutron scattering resonance and the iron-pnictide superconducting gap
journal, April 2009

Dynamical spin response of doped two-leg Hubbard-like ladders
journal, April 2007

Superconducting condensation energy and an antiferromagnetic exchange-based pairing mechanism
journal, October 1998

Spin Waves and Electronic Interactions in ${La}_{2} {CuO}_{4}$
journal, June 2001

Spin Gap and Resonance at the Nesting Wave Vector in Superconducting ${FeSe}_{0.4} {Te}_{0.6}$
journal, August 2009

A common thread: The pairing interaction for unconventional superconductors
journal, October 2012

Resonant magnetic mode in superconducting two-leg ladders
journal, June 2004

The puzzle of high temperature superconductivity in layered iron pnictides and chalcogenides
journal, October 2010