Magnetic excitation spectra of strongly correlated quasi-one-dimensional systems: Heisenberg versus Hubbard-like behavior
Abstract
In this paper, we study the effects of charge degrees of freedom on the spin excitation dynamics in quasi-one-dimensional magnetic materials. Using the density matrix renormalization group method, we calculate the dynamical spin structure factor of the Hubbard model at half electronic filling on a chain and on a ladder geometry, and compare the results with those obtained using the Heisenberg model, where charge degrees of freedom are considered frozen. For both chains and two-leg ladders, we find that the Hubbard model spectrum qualitatively resembles the Heisenberg spectrum—with low-energy peaks resembling spinonic excitations—already at intermediate on-site repulsion as small as U/t ~ 2–3, although ratios of peak intensities at different momenta continue evolving with increasing U/t converging only slowly to the Heisenberg limit. Finally, we discuss the implications of these results for neutron scattering experiments and we propose criteria to establish the values of U/t of quasi-one-dimensional systems described by one-orbital Hubbard models from experimental information.
- Authors:
-
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Computer Science and Mathematics Division. Center for Nanophase Materials Sciences
- Univ. of Tennessee, Knoxville, TN (United States). Dept. of Physics and Astronomy; Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Materials Science and Technology Division
- Univ. of Tennessee, Knoxville, TN (United States). Dept. of Physics and Astronomy; Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Quantum Condensed Matter Division
- Publication Date:
- Research Org.:
- Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Center for Nanophase Materials Sciences (CNMS); Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). High Flux Isotope Reactor (HFIR); Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Spallation Neutron Source (SNS)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF)
- OSTI Identifier:
- 1339402
- Alternate Identifier(s):
- OSTI ID: 1333594
- Grant/Contract Number:
- AC05-00OR22725; DMR-1404375
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review B
- Additional Journal Information:
- Journal Volume: 94; 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., Fernandez-Baca, Jaime A., Dagotto, Elbio R., and Alvarez, Gonzalo. Magnetic excitation spectra of strongly correlated quasi-one-dimensional systems: Heisenberg versus Hubbard-like behavior. United States: N. p., 2016.
Web. doi:10.1103/PhysRevB.94.205145.
Nocera, Alberto, Patel, Niravkumar D., Fernandez-Baca, Jaime A., Dagotto, Elbio R., & Alvarez, Gonzalo. Magnetic excitation spectra of strongly correlated quasi-one-dimensional systems: Heisenberg versus Hubbard-like behavior. United States. https://doi.org/10.1103/PhysRevB.94.205145
Nocera, Alberto, Patel, Niravkumar D., Fernandez-Baca, Jaime A., Dagotto, Elbio R., and Alvarez, Gonzalo. Mon .
"Magnetic excitation spectra of strongly correlated quasi-one-dimensional systems: Heisenberg versus Hubbard-like behavior". United States. https://doi.org/10.1103/PhysRevB.94.205145. https://www.osti.gov/servlets/purl/1339402.
@article{osti_1339402,
title = {Magnetic excitation spectra of strongly correlated quasi-one-dimensional systems: Heisenberg versus Hubbard-like behavior},
author = {Nocera, Alberto and Patel, Niravkumar D. and Fernandez-Baca, Jaime A. and Dagotto, Elbio R. and Alvarez, Gonzalo},
abstractNote = {In this paper, we study the effects of charge degrees of freedom on the spin excitation dynamics in quasi-one-dimensional magnetic materials. Using the density matrix renormalization group method, we calculate the dynamical spin structure factor of the Hubbard model at half electronic filling on a chain and on a ladder geometry, and compare the results with those obtained using the Heisenberg model, where charge degrees of freedom are considered frozen. For both chains and two-leg ladders, we find that the Hubbard model spectrum qualitatively resembles the Heisenberg spectrum—with low-energy peaks resembling spinonic excitations—already at intermediate on-site repulsion as small as U/t ~ 2–3, although ratios of peak intensities at different momenta continue evolving with increasing U/t converging only slowly to the Heisenberg limit. Finally, we discuss the implications of these results for neutron scattering experiments and we propose criteria to establish the values of U/t of quasi-one-dimensional systems described by one-orbital Hubbard models from experimental information.},
doi = {10.1103/PhysRevB.94.205145},
journal = {Physical Review B},
number = 20,
volume = 94,
place = {United States},
year = {Mon Nov 28 00:00:00 EST 2016},
month = {Mon Nov 28 00:00:00 EST 2016}
}
Web of Science
Works referenced in this record:
Spectral and Thermodynamic Properties of a Strong-Leg Quantum Spin Ladder
journal, April 2012
- Schmidiger, D.; Bouillot, P.; Mühlbauer, S.
- Physical Review Letters, Vol. 108, Issue 16
Dynamical spin response functions for Heisenberg ladders
journal, May 1998
- Yang, Danny B.; Haxton, W. C.
- Physical Review B, Vol. 57, Issue 17
Exact zero-temperature correlation functions for two-leg Hubbard ladders and carbon nanotubes
journal, September 2001
- Konik, Robert; Ludwig, Andreas W. W.
- Physical Review B, Vol. 64, Issue 15
Spin ladders with spin gaps: A description of a class of cuprates
journal, April 1994
- Gopalan, Sudha; Rice, T. M.; Sigrist, M.
- Physical Review B, Vol. 49, Issue 13
Mantid—Data analysis and visualization package for neutron scattering and SR experiments
journal, November 2014
- Arnold, O.; Bilheux, J. C.; Borreguero, J. M.
- Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 764
Exact correlation amplitude for the Heisenberg antiferromagnetic chain
journal, May 1998
- Affleck, Ian
- Journal of Physics A: Mathematical and General, Vol. 31, Issue 20
Antiferromagnetic exchange in two-leg spin-1/2 ladders
journal, November 1996
- Johnston, D. C.
- Physical Review B, Vol. 54, Issue 18
Competing orders in coupled Luttinger liquids
journal, September 2003
- Wu, Congjun; Vincent Liu, W.; Fradkin, Eduardo
- Physical Review B, Vol. 68, Issue 11
Multispinon Continua at Zero and Finite Temperature in a Near-Ideal Heisenberg Chain
journal, September 2013
- Lake, B.; Tennant, D. A.; Caux, J. -S.
- Physical Review Letters, Vol. 111, Issue 13
Linked cluster series expansions for two-particle bound states
journal, March 2001
- Zheng, Weihong; Hamer, Chris J.; Singh, Rajiv R. P.
- Physical Review B, Vol. 63, Issue 14
Perturbation theory for spin ladders using angular-momentum coupled bases
journal, October 1998
- Piekarewicz, J.; Shepard, J. R.
- Physical Review B, Vol. 58, Issue 14
Pressure-induced superconductivity in the iron-based ladder material BaFe2S3
journal, July 2015
- Takahashi, Hiroki; Sugimoto, Akira; Nambu, Yusuke
- Nature Materials, Vol. 14, Issue 10
Density-matrix algorithms for quantum renormalization groups
journal, October 1993
- White, Steven R.
- Physical Review B, Vol. 48, Issue 14
Antiferromagnetic spin ladders: Crossover between spin S =1/2 and S =1 chains
journal, April 1996
- Shelton, D. G.; Nersesyan, A. A.; Tsvelik, A. M.
- Physical Review B, Vol. 53, Issue 13
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
Inelastic Neutron Scattering from the Spin Ladder Compound
journal, November 1994
- Eccleston, R. S.; Barnes, T.; Brody, J.
- Physical Review Letters, Vol. 73, Issue 19
Direct Observation of Magnon Fractionalization in the Quantum Spin Ladder
journal, March 2009
- Thielemann, B.; Rüegg, Ch.; Rønnow, H. M.
- Physical Review Letters, Vol. 102, Issue 10
Finite wave vector pairing in doped two-leg ladders
journal, May 2012
- Robinson, N. J.; Essler, F. H. L.; Jeckelmann, E.
- Physical Review B, Vol. 85, Issue 19
High‐energy spin waves in bcc iron
journal, April 1991
- Perring, T. G.; Boothroyd, A. T.; Paul, D. McK.
- Journal of Applied Physics, Vol. 69, Issue 8
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
Density matrix formulation for quantum renormalization groups
journal, November 1992
- White, Steven R.
- Physical Review Letters, Vol. 69, Issue 19
Quantum spin dynamics of the antiferromagnetic linear chain in zero and nonzero magnetic field
journal, August 1981
- Müller, Gerhard; Thomas, Harry; Beck, Hans
- Physical Review B, Vol. 24, Issue 3
Two-spinon dynamic structure factor of the one-dimensional s= Heisenberg antiferromagnet
journal, May 1997
- Karbach, Michael; Müller, Gerhard; Bougourzi, A. Hamid
- Physical Review B, Vol. 55, Issue 18
Density-matrix algorithm for the calculation of dynamical properties of low-dimensional systems
journal, October 1995
- Hallberg, Karen A.
- Physical Review B, Vol. 52, Issue 14
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
Fractional spinon excitations in the quantum Heisenberg antiferromagnetic chain
journal, June 2013
- Mourigal, Martin; Enderle, Mechthild; Klöpperpieper, Axel
- Nature Physics, Vol. 9, Issue 7
Excitation spectrum of Heisenberg spin ladders
journal, February 1993
- Barnes, T.; Dagotto, E.; Riera, J.
- Physical Review B, Vol. 47, Issue 6
Spin dynamics and transport in gapped one-dimensional Heisenberg antiferromagnets at nonzero temperatures
journal, April 1998
- Damle, Kedar; Sachdev, Subir
- Physical Review B, Vol. 57, Issue 14
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
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
Colloquium : The unexpected properties of alkali metal iron selenide superconductors
journal, May 2013
- Dagotto, Elbio
- Reviews of Modern Physics, Vol. 85, Issue 2
Comparison of different ladder models
journal, October 1998
- Jeckelmann, E.; Scalapino, D. J.; White, S. R.
- Physical Review B, Vol. 58, Issue 14
Resonating Valence Bond Theory of Coupled Heisenberg Chains
journal, August 1994
- White, S. R.; Noack, R. M.; Scalapino, D. J.
- Physical Review Letters, Vol. 73, Issue 6
Quantum magnetic excitations from stripes in copper oxide superconductors
journal, June 2004
- Tranquada, J. M.; Woo, H.; Perring, T. G.
- Nature, Vol. 429, Issue 6991
Longitudinal magnetic dynamics and dimensional crossover in the quasi-one-dimensional spin- Heisenberg antiferromagnet
journal, April 2005
- Lake, B.; Tennant, D. A.; Nagler, S. E.
- Physical Review B, Vol. 71, Issue 13
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
Dynamical structure factors of S two-leg spin-ladder systems
journal, October 2002
- Haga, Nobuyasu; Suga, Sei-ichiro
- Physical Review B, Vol. 66, Issue 13
Superconductivity in ladders and coupled planes
journal, March 1992
- Dagotto, E.; Riera, J.; Scalapino, D.
- Physical Review B, Vol. 45, Issue 10
Nonlinear Field Theory of Large-Spin Heisenberg Antiferromagnets: Semiclassically Quantized Solitons of the One-Dimensional Easy-Axis Néel State
journal, April 1983
- Haldane, F. D. M.
- Physical Review Letters, Vol. 50, Issue 15
Bose glass and Mott glass of quasiparticles in a doped quantum magnet
journal, September 2012
- Yu, Rong; Yin, Liang; Sullivan, Neil S.
- Nature, Vol. 489, Issue 7416
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
Exact calculation of the ground-state dynamical spin correlation function of a S =1/2 antiferromagnetic Heisenberg chain with free spinons
journal, December 1993
- Haldane, F. D. M.; Zirnbauer, M. R.
- Physical Review Letters, Vol. 71, Issue 24
Magnetic properties and pairing tendencies of the iron-based superconducting ladder : Combined ab initio and density matrix renormalization group study
journal, August 2016
- Patel, Niravkumar D.; Nocera, Alberto; Alvarez, Gonzalo
- Physical Review B, Vol. 94, Issue 7
Controlling Spin Exchange Interactions of Ultracold Atoms in Optical Lattices
journal, August 2003
- Duan, L. -M.; Demler, E.; Lukin, M. D.
- Physical Review Letters, Vol. 91, Issue 9
Itinerancy effects on spin correlations in one-dimensional Mott insulators
journal, January 2005
- Bhaseen, M. J.; Essler, F. H. L.; Grage, A.
- Physical Review B, Vol. 71, Issue 2
Pair correlations in doped Hubbard ladders
journal, November 2015
- Dolfi, Michele; Bauer, Bela; Keller, Sebastian
- Physical Review B, Vol. 92, Issue 19
Superconductivity, Spin Gaps and Luttinger Liquids in a Class of Cuprates
journal, August 1993
- Rice, T. M.; Gopalan, S.; Sigrist, M.
- Europhysics Letters (EPL), Vol. 23, Issue 6
Ground-state and spectral properties of an asymmetric Hubbard ladder
journal, April 2015
- Abdelwahab, Anas; Jeckelmann, Eric; Hohenadler, Martin
- Physical Review B, Vol. 91, Issue 15
Bound States of Magnons in the Quantum Spin Ladder
journal, August 1998
- Sushkov, O. P.; Kotov, V. N.
- Physical Review Letters, Vol. 81, Issue 9
The ground state of the two-leg Hubbard ladder a density-matrix renormalization group study
journal, October 1996
- Noack, R. M.; White, S. R.; Scalapino, D. J.
- Physica C: Superconductivity, Vol. 270, Issue 3-4
Implementation of Spin Hamiltonians in Optical Lattices
journal, December 2004
- García-Ripoll, J. J.; Martin-Delgado, M. A.; Cirac, J. I.
- Physical Review Letters, Vol. 93, Issue 25
Statics and dynamics of weakly coupled antiferromagnetic spin- ladders in a magnetic field
journal, February 2011
- Bouillot, Pierre; Kollath, Corinna; Läuchli, Andreas M.
- Physical Review B, Vol. 83, Issue 5
Generalized two-leg Hubbard ladder at half filling: Phase diagram and quantum criticalities
journal, December 2002
- Tsuchiizu, M.; Furusaki, A.
- Physical Review B, Vol. 66, Issue 24
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
Magnetism and its microscopic origin in iron-based high-temperature superconductors
journal, October 2012
- Dai, Pengcheng; Hu, Jiangping; Dagotto, Elbio
- Nature Physics, Vol. 8, Issue 10
Dynamical spin response of doped two-leg Hubbard-like ladders
journal, April 2007
- Essler, F. H. L.; Konik, R. M.
- Physical Review B, Vol. 75, Issue 14
Spectral Properties of Magnetic Excitations in Cuprate Two-Leg Ladder Systems
journal, October 2005
- Schmidt, Kai P.; Uhrig, GÖTz S.
- Modern Physics Letters B, Vol. 19, Issue 24
Exact SO(8) symmetry in the weakly-interacting two-leg ladder
journal, July 1998
- Lin, Hsiu-Hau; Balents, Leon; Fisher, Matthew P. A.
- Physical Review B, Vol. 58, Issue 4
Spin Waves and Electronic Interactions in
journal, June 2001
- Coldea, R.; Hayden, S. M.; Aeppli, G.
- Physical Review Letters, Vol. 86, Issue 23
Spin and charge dynamics of the one-dimensional extended Hubbard model
journal, May 2007
- Benthien, H.; Jeckelmann, E.
- Physical Review B, Vol. 75, Issue 20
Critical and Spin-Wave Scattering of Neutrons from Iron
journal, March 1969
- Collins, M. F.; Minkiewicz, V. J.; Nathans, R.
- Physical Review, Vol. 179, Issue 2
Strong-coupling phases of two Hubbard chains with interchain hopping
journal, August 1992
- Fabrizio, M.; Parola, A.; Tosatti, E.
- Physical Review B, Vol. 46, Issue 5
Resonant magnetic mode in superconducting two-leg ladders
journal, June 2004
- Poilblanc, D.; Orignac, E.; White, S. R.
- Physical Review B, Vol. 69, Issue 22
Direct Observation of Magnon Fractionalization in the Quantum Spin Ladder
text, January 2008
- Thielemann, B.; Rüegg, Ch.; Rønnow, H. M.
- arXiv
Bose glass and Mott glass of quasiparticles in a doped quantum magnet
text, January 2011
- Yu, Rong; Yin, Liang; Sullivan, Neil S.
- arXiv
Spectral and thermodynamic properties of a strong-leg quantum spin ladder
text, January 2011
- Schmidiger, D.; Bouillot, P.; Muhlbauer, S.
- arXiv
Finite wave vector pairing in doped two-leg ladders
text, January 2012
- Robinson, N. J.; Essler, F. H. L.; Jeckelmann, E.
- arXiv
Magnetism and its microscopic origin in iron-based high-temperature superconductors
text, January 2012
- Dai, Pengcheng; Hu, Jiangping; Dagotto, Elbio
- arXiv
Linked Cluster Series Expansions for Two-Particle Bound States
text, January 2000
- Zheng, Weihong; Hamer, C. J.; Singh, R. R. P.
- arXiv
Competing Orders in Coupled Luttinger Liquids
text, January 2002
- Wu, Congjun; Liu, W. Vincent; Fradkin, Eduardo
- arXiv
Generalized two-leg Hubbard ladder at half-filling: Phase diagram and quantum criticalities
text, January 2002
- Tsuchiizu, M.; Furusaki, A.
- arXiv
Controlling Spin Exchange Interactions of Ultracold Atoms in Optical Lattices
text, January 2002
- Duan, L. -M.; Demler, E.; Lukin, M. D.
- arXiv
Quantum Magnetic Excitations from Stripes in Copper-Oxide Superconductors
text, January 2004
- Tranquada, J. M.; Woo, H.; Perring, T. G.
- arXiv
Spectral Properties of Magnetic Excitations in Cuprate Two-Leg Ladder Systems
text, January 2005
- Schmidt, Kai P.; Uhrig, Goetz S.
- arXiv
Exact calculation of the ground-state dynamical spin correlation function of a S=1/2 antiferromagnetic Heisenberg chain with free spinons
text, January 1993
- Haldane, F. D. M.; Zirnbauer, M. R.
- arXiv
Resonating Valence Bond Theory of Coupled Heisenberg Chains
text, January 1994
- White, S. R.; Noack, R. M.; Scalapino, D. J.
- arXiv
Weak Coupling Phase Diagram of the Two Chain Hubbard Model
text, January 1995
- Balents, Leon; Fisher, Matthew P. A.
- arXiv
Antiferromagnetic spin ladders: crossover between spin S = 1/2 and S = 1 chains
text, January 1995
- Shelton, D. G.; Nersesyan, A. A.; Tsvelik, A. M.
- arXiv
The ground state of the two-leg Hubbard ladder: a density--matrix renormalization group study
text, January 1996
- Noack, R. M.; White, S. R.; Scalapino, D. J.
- arXiv
Perturbation Theory for Spin Ladders Using Angular-Momentum Coupled Bases
text, January 1998
- Piekarewicz, J.; Shepard, J. R.
- arXiv
Comparison of different ladder models
text, January 1998
- Jeckelmann, E.; Scalapino, D. J.; White, S. R.
- arXiv
Experiments on Ladders Reveal a Complex Interplay between a Spin-Gapped Normal State and Superconductivity
text, January 1999
- Dagotto, Elbio
- arXiv
Works referencing / citing this record:
Probing multi-spinon excitations outside of the two-spinon continuum in the antiferromagnetic spin chain cuprate Sr2CuO3
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- Schlappa, J.; Kumar, U.; Zhou, K. J.
- Nature Communications, Vol. 9, Issue 1
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journal, February 2019
- Karlubíková, Paulína; Růžičková, Hana; Chaloupka, Jiří
- Journal of Physics: Condensed Matter, Vol. 31, Issue 13