Theoretical study of the spin and charge dynamics of two-leg ladders as probed by resonant inelastic x-ray scattering
Abstract
Resonant inelastic x-ray scattering (RIXS) has become an important tool for studying elementary excitations in correlated materials. Here, we present a systematic theoretical investigation of the Cu L-edge RIXS spectra of undoped and doped cuprate two-leg spin-ladders in both the non-spin-conserving (NSC) and spin-conserving (SC) channels. The spectra are rich and host many exotic excitations. In the NSC channel of the undoped case, we identify one-triplon and bound triplet two-triplon excitations in the strong rung coupling limit, as well as confined spinons in the weak rung coupling limit. In the doped case, we observe a quasiparticle excitation formed from a bound charge and spin-1/2 in the strong rung coupling limit. In the SC channel, we also identify several new features, including bound singlet two-triplon excitations and confined spinons in the undoped ladders in the strong and weak rung coupling limits, respectively. Conversely, in the doped case, the SC channel primarily probes both gapless and gapped charge excitations. Finally, we revisit the available data for the ladder compound Sr14Cu24O41 in the context of our results.
- Authors:
-
[2];
- Univ. of Tennessee, Knoxville, TN (United States)
- Univ. of Tennessee, Knoxville, TN (United States); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Univ. of British Columbia, Vancouver, BC (Canada)
- Univ. of Tennessee, Knoxville, TN (United States); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- Publication Date:
- Research Org.:
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1546513
- Alternate Identifier(s):
- OSTI ID: 1513312
- Grant/Contract Number:
- AC05-00OR22725
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review B
- Additional Journal Information:
- Journal Volume: 99; 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
Kumar, Umesh, Nocera, Alberto, Dagotto, Elbio R., and Johnston, Steven S. Theoretical study of the spin and charge dynamics of two-leg ladders as probed by resonant inelastic x-ray scattering. United States: N. p., 2019.
Web. doi:10.1103/PhysRevB.99.205130.
Kumar, Umesh, Nocera, Alberto, Dagotto, Elbio R., & Johnston, Steven S. Theoretical study of the spin and charge dynamics of two-leg ladders as probed by resonant inelastic x-ray scattering. United States. https://doi.org/10.1103/PhysRevB.99.205130
Kumar, Umesh, Nocera, Alberto, Dagotto, Elbio R., and Johnston, Steven S. Fri .
"Theoretical study of the spin and charge dynamics of two-leg ladders as probed by resonant inelastic x-ray scattering". United States. https://doi.org/10.1103/PhysRevB.99.205130. https://www.osti.gov/servlets/purl/1546513.
@article{osti_1546513,
title = {Theoretical study of the spin and charge dynamics of two-leg ladders as probed by resonant inelastic x-ray scattering},
author = {Kumar, Umesh and Nocera, Alberto and Dagotto, Elbio R. and Johnston, Steven S.},
abstractNote = {Resonant inelastic x-ray scattering (RIXS) has become an important tool for studying elementary excitations in correlated materials. Here, we present a systematic theoretical investigation of the Cu L-edge RIXS spectra of undoped and doped cuprate two-leg spin-ladders in both the non-spin-conserving (NSC) and spin-conserving (SC) channels. The spectra are rich and host many exotic excitations. In the NSC channel of the undoped case, we identify one-triplon and bound triplet two-triplon excitations in the strong rung coupling limit, as well as confined spinons in the weak rung coupling limit. In the doped case, we observe a quasiparticle excitation formed from a bound charge and spin-1/2 in the strong rung coupling limit. In the SC channel, we also identify several new features, including bound singlet two-triplon excitations and confined spinons in the undoped ladders in the strong and weak rung coupling limits, respectively. Conversely, in the doped case, the SC channel primarily probes both gapless and gapped charge excitations. Finally, we revisit the available data for the ladder compound Sr14Cu24O41 in the context of our results.},
doi = {10.1103/PhysRevB.99.205130},
journal = {Physical Review B},
number = 20,
volume = 99,
place = {United States},
year = {2019},
month = {5}
}
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Works referenced in this record:
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
Confinement of fractional quantum number particles in a condensed-matter system
journal, November 2009
- Lake, Bella; Tsvelik, Alexei M.; Notbohm, Susanne
- Nature Physics, Vol. 6, Issue 1
Spin–orbital separation in the quasi-one-dimensional Mott insulator Sr2CuO3
journal, April 2012
- Schlappa, J.; Wohlfeld, K.; Zhou, K. J.
- Nature, Vol. 485, Issue 7396
Probing multi-spinon excitations outside of the two-spinon continuum in the antiferromagnetic spin chain cuprate Sr2CuO3
journal, December 2018
- Schlappa, J.; Kumar, U.; Zhou, K. J.
- Nature Communications, Vol. 9, 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
Fractional spinon excitations in the quantum Heisenberg antiferromagnetic chain
journal, June 2013
- Mourigal, Martin; Enderle, Mechthild; Klöpperpieper, Axel
- Nature Physics, Vol. 9, Issue 7
Stripes on a 6-Leg Hubbard Ladder
journal, September 2003
- White, Steven R.; Scalapino, D. J.
- Physical Review Letters, Vol. 91, Issue 13
Theory of -edge resonant inelastic x-ray scattering for magnetic excitations in two-leg spin ladders
journal, June 2012
- Nagao, Tatsuya; Igarashi, Jun-ichi
- Physical Review B, Vol. 85, Issue 22
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
Magnetic-Order Crossover in Coupled Spin Ladders
journal, April 2017
- Jeong, M.; Mayaffre, H.; Berthier, C.
- Physical Review Letters, Vol. 118, Issue 16
Symmetric and asymmetric excitations of a strong-leg quantum spin ladder
journal, September 2013
- Schmidiger, D.; Mühlbauer, S.; Zheludev, A.
- Physical Review B, Vol. 88, Issue 9
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
Spin Dynamics of the Spin-Ladder Dimer-Chain Material
journal, August 1998
- Eccleston, Roger S.; Uehara, Masatomo; Akimitsu, Jun
- Physical Review Letters, Vol. 81, Issue 8
Magnetic excitations and exchange interactions in the spin- two-leg ladder compound
journal, October 2000
- Matsuda, M.; Katsumata, K.; Eccleston, R. S.
- Physical Review B, Vol. 62, Issue 13
Macroscopic Quantum Coherence of the Spin Triplet in the Spin-Ladder Compound
journal, August 2010
- Lorenzo, J. E.; Regnault, L. P.; Boullier, C.
- Physical Review Letters, Vol. 105, Issue 9
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
Neutron scattering evidence for isolated spin- ladders in
journal, September 2009
- Savici, A. T.; Granroth, G. E.; Broholm, C. L.
- Physical Review B, Vol. 80, Issue 9
Magnetic chirality of the spin triplet in the spin-ladder compound Sr Cu O as seen via polarized inelastic neutron scattering
journal, April 2011
- Lorenzo, J. E.; Regnault, L. P.; Boullier, C.
- Physical Review B, Vol. 83, Issue 14
Magnetic ordering induced by interladder coupling in the spin- Heisenberg two-leg ladder antiferromagnet
journal, May 2014
- Hong, Tao; Schmidt, K. P.; Coester, K.
- Physical Review B, Vol. 89, Issue 17
Doping evolution of charge and spin excitations in two-leg Hubbard ladders: Comparing DMRG and FLEX results
journal, May 2018
- Nocera, A.; Wang, Y.; Patel, N. D.
- Physical Review B, Vol. 97, Issue 19
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
Superconductivity in ladders and coupled planes
journal, March 1992
- Dagotto, E.; Riera, J.; Scalapino, D.
- Physical Review B, Vol. 45, Issue 10
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
Magnetic Excitations and Phase Separation in the Underdoped Superconductor Measured by Resonant Inelastic X-Ray Scattering
journal, February 2010
- Braicovich, L.; van den Brink, J.; Bisogni, V.
- Physical Review Letters, Vol. 104, Issue 7
Bimagnon studies in cuprates with resonant inelastic x-ray scattering at the O edge. I. Assessment on La CuO and comparison with the excitation at Cu and Cu edges
journal, June 2012
- Bisogni, V.; Simonelli, L.; Ament, L. J. P.
- Physical Review B, Vol. 85, Issue 21
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
Collective Nature of Spin Excitations in Superconducting Cuprates Probed by Resonant Inelastic X-Ray Scattering
journal, May 2015
- Minola, M.; Dellea, G.; Gretarsson, H.
- Physical Review Letters, Vol. 114, Issue 21
Raman and fluorescence characteristics of resonant inelastic X-ray scattering from doped superconducting cuprates
journal, January 2016
- Huang, H. Y.; Jia, C. J.; Chen, Z. Y.
- Scientific Reports, Vol. 6, Issue 1
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
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
Theoretical Demonstration of How the Dispersion of Magnetic Excitations in Cuprate Compounds can be Determined Using Resonant Inelastic X-Ray Scattering
journal, September 2009
- Ament, Luuk J. P.; Ghiringhelli, Giacomo; Sala, Marco Moretti
- Physical Review Letters, Vol. 103, Issue 11
Dispersive magnetic and electronic excitations in iridate perovskites probed by oxygen -edge resonant inelastic x-ray scattering
journal, January 2018
- Lu, Xingye; Olalde-Velasco, Paul; Huang, Yaobo
- Physical Review B, Vol. 97, Issue 4
Bimagnon studies in cuprates with resonant inelastic x-ray scattering at the O edge. II. Doping effect in La Sr CuO
journal, June 2012
- Bisogni, V.; Moretti Sala, M.; Bendounan, A.
- Physical Review B, Vol. 85, Issue 21
Doping dependence of magnetic excitations of one-dimensional cuprates as probed by resonant inelastic x-ray scattering
journal, June 2011
- Forte, Filomena; Cuoco, Mario; Noce, Canio
- Physical Review B, Vol. 83, Issue 24
Exact diagonalization results for resonant inelastic x-ray scattering spectra of one-dimensional Mott insulators
journal, February 2012
- Kourtis, Stefanos; van den Brink, Jeroen; Daghofer, Maria
- Physical Review B, Vol. 85, Issue 6
Multi-spinon and antiholon excitations probed by resonant inelastic x-ray scattering on doped one-dimensional antiferromagnets
journal, July 2018
- Kumar, Umesh; Nocera, Alberto; Dagotto, Elbio
- New Journal of Physics, Vol. 20, Issue 7
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
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
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
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
Femtosecond Dynamics of Momentum-Dependent Magnetic Excitations from Resonant Inelastic X-Ray Scattering in
journal, April 2014
- Bisogni, Valentina; Kourtis, Stefanos; Monney, Claude
- Physical Review Letters, Vol. 112, Issue 14
Orbital Control of Effective Dimensionality: From Spin-Orbital Fractionalization to Confinement in the Anisotropic Ladder System
journal, March 2015
- Bisogni, Valentina; Wohlfeld, Krzysztof; Nishimoto, Satoshi
- Physical Review Letters, Vol. 114, Issue 9
Computing Resonant Inelastic X-Ray Scattering Spectra Using The Density Matrix Renormalization Group Method
journal, July 2018
- Nocera, A.; Kumar, U.; Kaushal, N.
- Scientific Reports, Vol. 8, Issue 1
Density matrix formulation for quantum renormalization groups
journal, November 1992
- White, Steven R.
- Physical Review Letters, Vol. 69, Issue 19
Density-matrix algorithms for quantum renormalization groups
journal, October 1993
- White, Steven R.
- Physical Review B, Vol. 48, Issue 14
Novel Mott State Induced by Relativistic Spin-Orbit Coupling in
journal, August 2008
- Kim, B. J.; Jin, Hosub; Moon, S. J.
- Physical Review Letters, Vol. 101, Issue 7
Theory of resonant inelastic x-ray scattering in iridium oxide compounds: Probing spin-orbit-entangled ground states and excitations
journal, July 2011
- Ament, Luuk J. P.; Khaliullin, Giniyat; van den Brink, Jeroen
- Physical Review B, Vol. 84, Issue 2
Magnetic Excitation Spectra of Probed by Resonant Inelastic X-Ray Scattering: Establishing Links to Cuprate Superconductors
journal, April 2012
- Kim, Jungho; Casa, D.; Upton, M. H.
- Physical Review Letters, Vol. 108, Issue 17
Persistent Paramagnons Deep in the Metallic Phase of
journal, September 2016
- Gretarsson, H.; Sung, N. H.; Porras, J.
- Physical Review Letters, Vol. 117, Issue 10
Engineering 1D Quantum Stripes from Superlattices of 2D Layered Materials
journal, October 2016
- Gruenewald, John H.; Kim, Jungho; Kim, Heung Sik
- Advanced Materials, Vol. 29, Issue 1, Article No. 1603798
Spin Dynamics of Two-Leg Ladder Studied by Raman Spectroscopy
journal, October 2001
- Gozar, A.; Blumberg, G.; Dennis, B. S.
- Physical Review Letters, Vol. 87, Issue 19
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
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
Excitations in One-Dimensional Quantum Antiferromagnets
journal, June 2003
- Schmidt, Kai P.; Uhrig, Götz S.
- Physical Review Letters, Vol. 90, Issue 22
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
Excitation spectrum of Heisenberg spin ladders
journal, February 1993
- Barnes, T.; Dagotto, E.; Riera, J.
- Physical Review B, Vol. 47, Issue 6
High order perturbation theory for spectral densities of multi-particle excitations: $\mathsf{S = \frac{1}{2}}$ two-leg Heisenberg ladder
journal, December 2003
- Knetter, C.; Schmidt, K. P.; Uhrig, G. S.
- The European Physical Journal B - Condensed Matter, Vol. 36, Issue 4
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
Monte Carlo Study of Correlations in Quantum Spin Ladders
journal, August 1996
- Greven, M.; Birgeneau, R. J.; Wiese, U. -J.
- Physical Review Letters, Vol. 77, Issue 9
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
Properties of lightly doped t - J two-leg ladders
journal, January 1996
- Troyer, Matthias; Tsunetsugu, Hirokazu; Rice, T. M.
- Physical Review B, Vol. 53, Issue 1
Nature of a single doped hole in two-leg Hubbard and ladders
journal, October 2016
- Liu, Shenxiu; Jiang, Hong-Chen; Devereaux, Thomas P.
- Physical Review B, Vol. 94, Issue 15
One Hole in the Two-Leg Ladder and Adiabatic Continuity to the Noninteracting Limit
journal, July 2015
- White, S. R.; Scalapino, D. J.; Kivelson, S. A.
- Physical Review Letters, Vol. 115, Issue 5
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
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
Absence of Mott Transition in an Exact Solution of the Short-Range, One-Band Model in One Dimension
journal, June 1968
- Lieb, Elliott H.; Wu, F. Y.
- Physical Review Letters, Vol. 20, Issue 25
Using RIXS to Uncover Elementary Charge and Spin Excitations
journal, May 2016
- Jia, Chunjing; Wohlfeld, Krzysztof; Wang, Yao
- Physical Review X, Vol. 6, Issue 2
Phase diagram of coupled ladders
journal, August 1998
- Müller, T. F. A.; Rice, T. M.
- Physical Review B, Vol. 58, Issue 6
Dynamical density matrix renormalization group study of spin and charge excitations in the four-leg ladder
journal, June 2018
- Tohyama, Takami; Mori, Michiyasu; Sota, Shigetoshi
- Physical Review B, Vol. 97, Issue 23
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
Testing the itinerancy of spin dynamics in superconducting Bi2Sr2CaCu2O8+δ
journal, August 2009
- Xu, Guangyong; Gu, G. D.; Hücker, M.
- Nature Physics, Vol. 5, Issue 9
Magnetic excitations in probed by indirect resonant inelastic x-ray scattering
journal, April 2008
- Forte, Filomena; Ament, Luuk J. P.; van den Brink, Jeroen
- Physical Review B, Vol. 77, Issue 13
Spin-Exchange Dynamical Structure Factor of the Heisenberg Chain
journal, April 2011
- Klauser, Antoine; Mossel, Jorn; Caux, Jean-Sébastien
- Physical Review Letters, Vol. 106, Issue 15
Single-Band Model of Resonant Inelastic X-Ray Scattering by Quasiparticles in High- Cuprate Superconductors
journal, June 2014
- Benjamin, David; Klich, Israel; Demler, Eugene
- Physical Review Letters, Vol. 112, Issue 24
Resonant inelastic x-ray scattering as a probe of band structure effects in cuprates
journal, October 2016
- Kanász-Nagy, M.; Shi, Y.; Klich, I.
- Physical Review B, Vol. 94, Issue 16
Correlation functions measured by indirect resonant inelastic X-ray scattering
journal, January 2006
- Brink, J. van den; Veenendaal, M. van
- Europhysics Letters (EPL), Vol. 73, Issue 1
Ultrashort lifetime expansion for indirect resonant inelastic x-ray scattering
journal, March 2007
- Ament, Luuk J. P.; Forte, Filomena; van den Brink, Jeroen
- Physical Review B, Vol. 75, Issue 11
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