Doping evolution of charge and spin excitations in two-leg Hubbard ladders: Comparing DMRG and FLEX results [Doping evolution of charge and spin excitations in two-leg Hubbard ladders: Comparing DMRG and RPA+FLEX results]
Abstract
Here, we study the magnetic and charge dynamical response of a Hubbard model in a two-leg ladder geometry using the density matrix renormalization group (DMRG) method and the random phase approximation within the fluctuation-exchange approximation (FLEX). Our calculations reveal that FLEX can capture the main features of the magnetic response from weak up to intermediate Hubbard repulsion for doped ladders, when compared with the numerically exact DMRG results. However, while at weak Hubbard repulsion both the spin and charge spectra can be understood in terms of weakly interacting electron-hole excitations across the Fermi surface, at intermediate coupling DMRG shows gapped spin excitations at large momentum transfer that remain gapless within the FLEX approximation. For the charge response, FLEX can only reproduce the main features of the DMRG spectra at weak coupling and high doping levels, while it shows an incoherent character away from this limit. Overall, our analysis shows that FLEX works surprisingly well for spin excitations at weak and intermediate Hubbard U values even in the difficult low-dimensional geometry such as a two-leg ladder. Finally, we discuss the implications of our results for neutron scattering and resonant inelastic x-ray scattering experiments on two-leg ladder cuprate compounds.
- Authors:
-
- Univ. of Tennessee, Knoxville, TN (United States); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- Univ. of Tennessee, Knoxville, TN (United States); Univ. de Sherbrooke, Sherbrooke, QC (Canada)
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- Univ. of Tennessee, Knoxville, TN (United States)
- Publication Date:
- Research Org.:
- Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1440816
- Alternate Identifier(s):
- OSTI ID: 1439731
- Grant/Contract Number:
- AC05-00OR22725
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. B
- Additional Journal Information:
- Journal Volume: 97; Journal Issue: 19; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Nocera, Alberto, Wang, Yan, Patel, Niravkumar D., Alvarez, Gonzalo, Maier, Thomas A., Dagotto, Elbio R., and Johnston, Steven S. Doping evolution of charge and spin excitations in two-leg Hubbard ladders: Comparing DMRG and FLEX results [Doping evolution of charge and spin excitations in two-leg Hubbard ladders: Comparing DMRG and RPA+FLEX results]. United States: N. p., 2018.
Web. doi:10.1103/physrevb.97.195156.
Nocera, Alberto, Wang, Yan, Patel, Niravkumar D., Alvarez, Gonzalo, Maier, Thomas A., Dagotto, Elbio R., & Johnston, Steven S. Doping evolution of charge and spin excitations in two-leg Hubbard ladders: Comparing DMRG and FLEX results [Doping evolution of charge and spin excitations in two-leg Hubbard ladders: Comparing DMRG and RPA+FLEX results]. United States. https://doi.org/10.1103/physrevb.97.195156
Nocera, Alberto, Wang, Yan, Patel, Niravkumar D., Alvarez, Gonzalo, Maier, Thomas A., Dagotto, Elbio R., and Johnston, Steven S. Thu .
"Doping evolution of charge and spin excitations in two-leg Hubbard ladders: Comparing DMRG and FLEX results [Doping evolution of charge and spin excitations in two-leg Hubbard ladders: Comparing DMRG and RPA+FLEX results]". United States. https://doi.org/10.1103/physrevb.97.195156. https://www.osti.gov/servlets/purl/1440816.
@article{osti_1440816,
title = {Doping evolution of charge and spin excitations in two-leg Hubbard ladders: Comparing DMRG and FLEX results [Doping evolution of charge and spin excitations in two-leg Hubbard ladders: Comparing DMRG and RPA+FLEX results]},
author = {Nocera, Alberto and Wang, Yan and Patel, Niravkumar D. and Alvarez, Gonzalo and Maier, Thomas A. and Dagotto, Elbio R. and Johnston, Steven S.},
abstractNote = {Here, we study the magnetic and charge dynamical response of a Hubbard model in a two-leg ladder geometry using the density matrix renormalization group (DMRG) method and the random phase approximation within the fluctuation-exchange approximation (FLEX). Our calculations reveal that FLEX can capture the main features of the magnetic response from weak up to intermediate Hubbard repulsion for doped ladders, when compared with the numerically exact DMRG results. However, while at weak Hubbard repulsion both the spin and charge spectra can be understood in terms of weakly interacting electron-hole excitations across the Fermi surface, at intermediate coupling DMRG shows gapped spin excitations at large momentum transfer that remain gapless within the FLEX approximation. For the charge response, FLEX can only reproduce the main features of the DMRG spectra at weak coupling and high doping levels, while it shows an incoherent character away from this limit. Overall, our analysis shows that FLEX works surprisingly well for spin excitations at weak and intermediate Hubbard U values even in the difficult low-dimensional geometry such as a two-leg ladder. Finally, we discuss the implications of our results for neutron scattering and resonant inelastic x-ray scattering experiments on two-leg ladder cuprate compounds.},
doi = {10.1103/physrevb.97.195156},
journal = {Physical Review. B},
number = 19,
volume = 97,
place = {United States},
year = {Thu May 31 00:00:00 EDT 2018},
month = {Thu May 31 00:00:00 EDT 2018}
}
Web of Science
Figures / Tables:
Works referenced in this record:
Spin susceptibility representation of the pairing interaction for the two-dimensional Hubbard model
journal, April 2007
- Maier, T. A.; Jarrell, M.; Scalapino, D. J.
- Physical Review B, Vol. 75, Issue 13
Role of vertex corrections in the matrix formulation of the random phase approximation for the multiorbital Hubbard model
journal, December 2016
- Altmeyer, Michaela; Guterding, Daniel; Hirschfeld, P. J.
- Physical Review B, Vol. 94, Issue 21
Conserving approximations for strongly fluctuating electron systems. I. Formalism and calculational approach
journal, July 1989
- Bickers, N. E.; Scalapino, D. J.
- Annals of Physics, Vol. 193, Issue 1
Persistence of High-Frequency Spin Fluctuations in Overdoped Superconducting ( )
journal, August 2007
- Lipscombe, O. J.; Hayden, S. M.; Vignolle, B.
- Physical Review Letters, Vol. 99, Issue 6
Dispersive collective charge modes in an incommensurately modulated cuprate Mott insulator
journal, September 2007
- Wray, L.; Qian, D.; Hsieh, D.
- Physical Review B, Vol. 76, Issue 10
Magnetic properties of the overdoped superconductor with and without Zn impurities
journal, August 2005
- Wakimoto, S.; Birgeneau, R. J.; Kagedan, A.
- Physical Review B, Vol. 72, Issue 6
Momentum-dependent charge excitations of a two-leg ladder: Resonant inelastic x-ray scattering of
journal, July 2007
- Ishii, K.; Tsutsui, K.; Tohyama, T.
- Physical Review B, Vol. 76, Issue 4
Comparison of Monte Carlo and diagrammatic calculations for the two-dimensional Hubbard model
journal, February 1993
- Bulut, N.; Scalapino, D. J.; White, S. R.
- Physical Review B, Vol. 47, Issue 5
Quasiparticle and Spin Excitation Spectra in the Normal and -Wave Superconducting State of the Two-Dimensional Hubbard Model
journal, January 1995
- Dahm, T.; Tewordt, L.
- Physical Review Letters, Vol. 74, Issue 5
Spectral function of the two-dimensional Hubbard model: A density matrix renormalization group plus cluster perturbation theory study
journal, February 2016
- Yang, Chun; Feiguin, Adrian E.
- Physical Review B, Vol. 93, Issue 8
Neutron-scattering and susceptibility study of spin chains and spin ladders in
journal, June 1996
- Eccleston, R. S.; Azuma, M.; Takano, M.
- Physical Review B, Vol. 53, Issue 22
Anisotropic scattering rates and antiferromagnetic precursor effects in the t-t'-U Hubbard model
journal, December 2000
- Altmann, J.; Brenig, W.; Kampf, A. P.
- The European Physical Journal B, Vol. 18, Issue 3
Systematic analysis of a spin-susceptibility representation of the pairing interaction in the two-dimensional Hubbard model
journal, October 2007
- Maier, T. A.; Macridin, A.; Jarrell, M.
- Physical Review B, Vol. 76, Issue 14
Asymmetry of collective excitations in electron- and hole-doped cuprate superconductors
journal, October 2014
- Lee, W. S.; Lee, J. J.; Nowadnick, E. A.
- Nature Physics, Vol. 10, Issue 11
Plasmons and interband transitions of investigated by electron energy-loss spectroscopy
journal, December 2010
- Roth, Friedrich; Hess, Christian; Büchner, Bernd
- Physical Review B, Vol. 82, Issue 24
Density-matrix algorithms for quantum renormalization groups
journal, October 1993
- White, Steven R.
- Physical Review B, Vol. 48, Issue 14
Resonant inelastic x-ray scattering studies of elementary excitations
journal, June 2011
- Ament, Luuk J. P.; van Veenendaal, Michel; Devereaux, Thomas P.
- Reviews of Modern Physics, Vol. 83, Issue 2
Significance of the inter-site Coulomb interaction between the O 2p and Cu 3d holes revealed by resonant inelastic x-ray scattering of Sr 14 Cu 24 O 41
journal, May 2008
- Higashiya, A.; Imada, S.; Murakawa, T.
- New Journal of Physics, Vol. 10, Issue 5
Spectral functions with the density matrix renormalization group: Krylov-space approach for correction vectors
journal, November 2016
- Nocera, A.; Alvarez, G.
- Physical Review E, Vol. 94, Issue 5
and NMR in Undoped and Hole Doped Two-Leg Spin Ladder
journal, July 1998
- Imai, T.; Thurber, K. R.; Shen, K. M.
- Physical Review Letters, Vol. 81, Issue 1
Persistence of magnetic excitations in La2−xSrxCuO4 from the undoped insulator to the heavily overdoped non-superconducting metal
journal, August 2013
- Dean, M. P. M.; Dellea, G.; Springell, R. S.
- Nature Materials, Vol. 12, Issue 11
Direct Relation between the Low-Energy Spin Excitations and Superconductivity of Overdoped High- Superconductors
journal, May 2004
- Wakimoto, S.; Zhang, H.; Yamada, K.
- Physical Review Letters, Vol. 92, Issue 21
Non-Perturbative Many-Body Approach to the Hubbard Model and Single-Particle Pseudogap
journal, November 1997
- Vilk, Y. M.; Tremblay, A. -M. S.
- Journal de Physique I, Vol. 7, Issue 11
High-Energy Magnetic Excitations in the Cuprate Superconductor : Towards a Unified Description of Its Electronic and Magnetic Degrees of Freedom
journal, April 2013
- Dean, M. P. M.; James, A. J. A.; Springell, R. S.
- Physical Review Letters, Vol. 110, Issue 14
Surprises on the Way from One- to Two-Dimensional Quantum Magnets: The Ladder Materials
journal, February 1996
- Dagotto, E.; Rice, T. M.
- Science, Vol. 271, Issue 5249
Role of transverse hopping in a two-coupled-chains model
journal, December 1993
- Fabrizio, M.
- Physical Review B, Vol. 48, Issue 21
Renormalization of the elementary excitations in hole- and electron-doped cuprates due to spin fluctuations
journal, April 2003
- Manske, D.; Eremin, I.; Bennemann, K. H.
- Physical Review B, Vol. 67, Issue 13
Observation of a Spin Gap in Sr Comprising Spin-½ Quasi-1D Two-Leg Ladders
journal, December 1994
- Azuma, M.; Hiroi, Z.; Takano, M.
- Physical Review Letters, Vol. 73, Issue 25
Pressure-Induced Dimensional Crossover and Superconductivity in the Hole-Doped Two-Leg Ladder Compound Sr14-xCaxCu24O41
journal, August 1998
- Nagata, T.; Uehara, M.; Goto, J.
- Physical Review Letters, Vol. 81, Issue 5
Magnetic properties of the two-dimensional Hubbard model
journal, January 1991
- Chen, Liang; Bourbonnais, C.; Li, T.
- Physical Review Letters, Vol. 66, Issue 3
Persistent spin excitations in doped antiferromagnets revealed by resonant inelastic light scattering
journal, February 2014
- Jia, C. J.; Nowadnick, E. A.; Wohlfeld, K.
- Nature Communications, Vol. 5, Issue 1
Self-consistent - pairing in a two-dimensional Hubbard model
journal, March 1994
- Monthoux, P.; Scalapino, D. J.
- Physical Review Letters, Vol. 72, Issue 12
Excitation spectrum of Heisenberg spin ladders
journal, February 1993
- Barnes, T.; Dagotto, E.; Riera, J.
- Physical Review B, Vol. 47, Issue 6
Friedel oscillations and charge density waves in chains and ladders
journal, April 2002
- White, Steven R.; Affleck, Ian; Scalapino, Douglas J.
- Physical Review B, Vol. 65, Issue 16
Theory for the Excitation Spectrum of High- Superconductors: Quasiparticle Dispersion and Shadows of the Fermi Surface
journal, December 1995
- Langer, M.; Schmalian, J.; Grabowski, S.
- Physical Review Letters, Vol. 75, Issue 24
Signatures of pairing in the magnetic excitation spectrum of strongly correlated two-leg ladders
journal, November 2017
- Nocera, A.; Patel, N. D.; Dagotto, E.
- Physical Review B, Vol. 96, Issue 20
NMR Study of Carrier Doping Effects on Spin Gaps in the Spin Ladder , Y, and La)
journal, March 1997
- Kumagai, Ken-ichi; Tsuji, Sigenori; Kato, Masatsune
- Physical Review Letters, Vol. 78, Issue 10
Weak-coupling phase diagram of the two-chain Hubbard model
journal, May 1996
- Balents, Leon; Fisher, Matthew P. A.
- Physical Review B, Vol. 53, Issue 18
Doping evolution of spin and charge excitations in the Hubbard model
journal, November 2015
- Kung, Y. F.; Nowadnick, E. A.; Jia, C. J.
- Physical Review B, Vol. 92, Issue 19
Experiments on ladders reveal a complex interplay between a spin-gapped normal state and superconductivity
journal, November 1999
- Dagotto, Elbio
- Reports on Progress in Physics, Vol. 62, Issue 11
Magnetic excitation spectra of strongly correlated quasi-one-dimensional systems: Heisenberg versus Hubbard-like behavior
journal, November 2016
- Nocera, A.; Patel, N. D.; Fernandez-Baca, J.
- Physical Review B, Vol. 94, Issue 20
Self-consistent calculations of superconductivity in a nearly antiferromagnetic Fermi liquid
journal, October 1994
- Lenck, St.; Carbotte, J. P.; Dynes, R. C.
- Physical Review B, Vol. 50, Issue 14
Spin-gap evolution upon Ca doping in the spin-ladder series Sr Ca Cu O studied by inelastic neutron scattering
journal, July 2013
- Deng, G.; Tsyrulin, N.; Bourges, P.
- Physical Review B, Vol. 88, Issue 1
Collective Magnetic Excitations in the Spin Ladder Measured Using High-Resolution Resonant Inelastic X-Ray Scattering
journal, July 2009
- Schlappa, J.; Schmitt, T.; Vernay, F.
- Physical Review Letters, Vol. 103, Issue 4
Superconductivity in ladders and coupled planes
journal, March 1992
- Dagotto, E.; Riera, J.; Scalapino, D.
- Physical Review B, Vol. 45, Issue 10
Conserving approximations for strongly fluctuating electron systems. II. Numerical results and parquet extension
journal, April 1991
- Bickers, N. E.; White, S. R.
- Physical Review B, Vol. 43, Issue 10
The case for dx2 − y2 pairing in the cuprate superconductors
journal, January 1995
- Scalapino, D. J.
- Physics Reports, Vol. 250, Issue 6
Dynamical correlation functions using the density matrix renormalization group
journal, July 1999
- Kühner, Till D.; White, Steven R.
- Physical Review B, Vol. 60, Issue 1
Strong-coupling theory of superconductivity in a degenerate Hubbard model
journal, March 2004
- Takimoto, Tetsuya; Hotta, Takashi; Ueda, Kazuo
- Physical Review B, Vol. 69, Issue 10
Weak-coupling analysis of the neutron-scattering spectral weight
journal, February 1993
- Bulut, N.; Scalapino, D. J.
- Physical Review B, Vol. 47, Issue 6
High-energy magnetic excitations in overdoped studied by neutron and resonant inelastic x-ray scattering
journal, May 2015
- Wakimoto, S.; Ishii, K.; Kimura, H.
- Physical Review B, Vol. 91, Issue 18
Superconductivity in the Ladder Material Sr 0.4 Ca 13.6 Cu 24 O 41.84
journal, September 1996
- Uehara, Masatomo; Nagata, Takashi; Akimitsu, Jun
- Journal of the Physical Society of Japan, Vol. 65, Issue 9
Complexity in Strongly Correlated Electronic Systems
journal, July 2005
- Dagotto, E.
- Science, Vol. 309, Issue 5732
Correlations in a Two-Chain Hubbard Model
journal, August 1994
- Noack, R. M.; White, S. R.; Scalapino, D. J.
- Physical Review Letters, Vol. 73, Issue 6
One- and Two-Triplon Spectra of a Cuprate Ladder
journal, January 2007
- Notbohm, S.; Ribeiro, P.; Lake, B.
- Physical Review Letters, Vol. 98, Issue 2
Resonant X-Ray Scattering Studies of Charge Order in Cuprates
journal, March 2016
- Comin, Riccardo; Damascelli, Andrea
- Annual Review of Condensed Matter Physics, Vol. 7, Issue 1
Dispersive spin excitations in highly overdoped cuprates revealed by resonant inelastic x-ray scattering
journal, July 2013
- Le Tacon, M.; Minola, M.; Peets, D. C.
- Physical Review B, Vol. 88, Issue 2
Pair correlations in doped Hubbard ladders
journal, November 2015
- Dolfi, Michele; Bauer, Bela; Keller, Sebastian
- Physical Review B, Vol. 92, Issue 19
Intense paramagnon excitations in a large family of high-temperature superconductors
journal, July 2011
- Le Tacon, M.; Ghiringhelli, G.; Chaloupka, J.
- Nature Physics, Vol. 7, Issue 9
Spectral analysis for the iron-based superconductors: Anisotropic spin fluctuations and fully gapped -wave superconductivity
journal, October 2010
- Zhang, Junhua; Sknepnek, Rastko; Schmalian, Jörg
- Physical Review B, Vol. 82, Issue 13
Electronic Properties of the Trellis-Lattice Hubbard Model: Pseudogap and Superconductivity
journal, June 1998
- Kontani, Hiroshi; Ueda, Kazuo
- Physical Review Letters, Vol. 80, Issue 25
Variations of for changes in the spin-fluctuation spectral weight
journal, October 1994
- Monthoux, P.; Scalapino, D. J.
- Physical Review B, Vol. 50, Issue 14
Antiferromagnetic spin fluctuation and superconductivity
journal, July 2003
- Moriya, T. ru; Ueda, Kazuo
- Reports on Progress in Physics, Vol. 66, Issue 8
Temperature dependence of the superconducting order parameter in the FLEX-approximation for the Hubbard model
journal, February 1997
- Dahm, T.
- Solid State Communications, Vol. 101, Issue 7
Theory for superconducting properties of the cuprates: doping dependence of the electronic excitations and shadow states
journal, April 1996
- Grabowski, S.; Langer, M.; Schmalian, J.
- Europhysics Letters (EPL), Vol. 34, Issue 3
The Challenge of Unconventional Superconductivity
journal, April 2011
- Norman, M. R.
- Science, Vol. 332, Issue 6026
The spin-ladder and spin-chain system (La,Y,Sr,Ca)14Cu24O41: Electronic phases, charge and spin dynamics
journal, May 2006
- Vuletic, T.; Korinhamzic, B.; Ivek, T.
- Physics Reports, Vol. 428, Issue 4
Phase diagram of hole doped two-leg ladders
journal, October 2007
- Chudzinski, P.; Gabay, M.; Giamarchi, T.
- Physical Review B, Vol. 76, Issue 16
Orbital current patterns in doped two-leg Cu-O Hubbard ladders
journal, August 2008
- Chudzinski, P.; Gabay, M.; Giamarchi, T.
- Physical Review B, Vol. 78, Issue 7
Spin Waves and Electronic Interactions in
journal, June 2001
- Coldea, R.; Hayden, S. M.; Aeppli, G.
- Physical Review Letters, Vol. 86, Issue 23
A common thread: The pairing interaction for unconventional superconductors
journal, October 2012
- Scalapino, D. J.
- Reviews of Modern Physics, Vol. 84, Issue 4
Origin of Weak Pseudogap Behaviors in Na 0.35 CoO 2 : Absence of Small Hole Pockets
journal, August 2005
- Yada, Keiji; Kontani, Hiroshi
- Journal of the Physical Society of Japan, Vol. 74, Issue 8
Orbital coupling and superconductivity in the iron pnictides
journal, June 2009
- Zhang, Junhua; Sknepnek, Rastko; Fernandes, Rafael M.
- Physical Review B, Vol. 79, Issue 22
Weak-coupling model of spin fluctuations in the superconducting state of the layered cuprates
journal, February 1992
- Bulut, N.; Scalapino, D. J.
- Physical Review B, Vol. 45, Issue 5
Anisotropic scattering rates and antiferromagnetic precursor effects in the t-t'-U Hubbard model
journal, December 2000
- Altmann, J.; Brenig, W.; Kampf, A. P.
- The European Physical Journal B, Vol. 18, Issue 3
The nature and the role of magnetic excitations in organic superconductors
journal, May 1991
- Bourbonnais, C.
- Synthetic Metals, Vol. 42, Issue 1-2
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- Communications Physics, Vol. 2, Issue 1
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- Karlubíková, Paulína; Růžičková, Hana; Chaloupka, Jiří
- Journal of Physics: Condensed Matter, Vol. 31, Issue 13
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- Li, Yangmu; Zhong, Ruidan; Stone, M. B.
- Physical Review B, Vol. 98, Issue 22
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text, January 2018
- Li, Yangmu; Zhong, Ruidan; Stone, M. B.
- arXiv
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- Patel, Niravkumar D.; Nocera, Alberto; Alvarez, Gonzalo
- arXiv
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