Momentum-Resolved Charge Excitations in a Prototype One-Dimensional Mott Insulator

Hasan, Zabir; Pa, Montano; Isaacs, Ellen; Shen, Z-X.; Eisaki, H.; Sinha, Surabhi; Islam, Zahirul; Motoyama, N.; Uchida, S.

doi:10.1103/physrevlett.88.177403

Cited by 84 publications

(60 citation statements)

References 32 publications

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“…24 Most of the numerical work has focused on the regime of large U , which is appropriate to describe strong Mott insulators such as Sr 2 CuO 3 . 5 We note that the DSF has strikingly different line shapes in the weak and strong coupling limits. For noninteracting electrons, U = 0, the DSF can be calculated exactly and corresponds to the density of states of an electron-hole pair.…”

Section: Introductionmentioning

confidence: 99%

“…One motivation for this is that questions about features of the excitation spectrum of 1D systems, such as the persistence of spin-charge separation at high energies, have become relevant with the improvement in the resolution of momentum-resolved experiments. [4][5][6][7][8] In addition, ultracold atoms trapped in optical lattices have emerged as a new means to study coherent dynamics of 1D models, including integrable ones which are not realizable in condensed matter systems. 9 At the same time, significant progress has been achieved in developing analytical [10][11][12][13][14][15][16][17][18][19][20][21][22] and numerical [23][24][25] techniques to study dynamical correlation functions in the high energy regime where conventional Luttinger liquid theory 26,27 does not apply.…”

Section: Introductionmentioning

confidence: 99%

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Charge dynamics in half-filled Hubbard chains with finite on-site interaction

et al. 2012

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We study the charge dynamic structure factor of the one-dimensional Hubbard model with finite on-site repulsion U at half filling. Numerical results from the time-dependent density matrix renormalization group are analyzed by comparison with the exact spectrum of the model. The evolution of the line shape as a function of U is explained in terms of a relative transfer of spectral weight between the two-holon continuum that dominates in the limit U → ∞ and a subset of the two-holontwo-spinon continuum that reconstructs the electron-hole continuum in the limit U → 0. Power-law singularities along boundary lines of the spectrum are described by effective impurity models that are explicitly invariant under spin and η-spin SU (2) rotations. The Mott-Hubbard metal-insulator transition is reflected in a discontinuous change of the exponents of edge singularities at U = 0. The sharp feature observed in the spectrum for momenta near the zone boundary is attributed to a Van Hove singularity that persists as a consequence of integrability.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Charge dynamics in half-filled Hubbard chains with finite on-site interaction

et al. 2012

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“…More recently this technique has been applied to various cuprates including high-T c materials 2,3,4,5,6,7,8,9,10,11 and other highly-correlated electron systems. 12,13,14 A recent RIXS study near the Cu K edge in undoped La 2 CuO 4 (LCO) has revealed three features in its charge excitation spectrum. 5 Two features, labeled A and B, appear at energy transfers ω = 2.2 eV and 3.9 eV, respectively; these features show the largest intensity enhancement at an incident photon energy of E i = 8.991 keV.…”

Section: Introductionmentioning

confidence: 99%

Resonant inelastic x-ray scattering study of overdopedLa2−xSrxCuO4

Wakimoto

Kim

et al. 2005

Phys. Rev. B

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Resonant inelastic x-ray scattering (RIXS) at the copper K absorption edge has been performed for heavily overdoped samples of La2−xSrxCuO4 with x = 0.25 and 0.30. We have observed the charge transfer and molecular-orbital excitations which exhibit resonances at incident energies of Ei = 8.992 and 8.998 keV, respectively. From a comparison with previous results on undoped and optimally-doped samples, we determine that the charge-transfer excitation energy increases monotonically as doping increases. In addition, the Ei-dependences of the RIXS spectral weight and absorption spectrum exhibit no clear peak at Ei = 8.998 keV in contrast to results in the underdoped samples. The low-energy (≤ 3 eV) continuum excitation intensity has been studied utilizing the high energy resolution of 0.13 eV (FWHM). A comparison of the RIXS profiles at (π 0) and (π π) indicates that the continuum intensity exists even at (π π) in the overdoped samples, whereas it has been reported only at (0 0) and (π 0) for the x = 0.17 sample. Furthermore, we also found an additional excitation on top of the continuum intensity at the (π π) and (π 0) positions.

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“…Compared to ARPES, RIXS is really bulk sensitive and applicable to insulators with high resistivity, where the electron correlation is even stronger. 1,2,5,9 However, high energy resolution RIXS is rather demanding because of their poor count rate. For this purpose, high photon flux in a small spot size and a highly efficient analyzer crystal are required.…”

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confidence: 99%

“…1,2 This technique is intriguing to clarify bulk electronic states of strongly correlated insulators, which are under a keen general interest in decades. 3,4,5 For metallic systems, highresolution angle-resolved photoemission (ARPES) is promising to detect their occupied states.…”

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confidence: 99%

Charge dynamics in strongly correlated one-dimensional Cu-O chain systems revealed by inelastic x-ray scattering

et al. 2005

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We report on the Cu 1s resonant inelastic X-ray scattering (RIXS) of Cu-O one-dimensional (1D) strongly correlated insulator systems with contrasting atomic arrangements, namely edge-sharing CuGeO 3 and corner-sharing Sr 2 CuO 3 . Owing to good statistics of the high-resolution RIXS data, so far unresolved fine structures are revealed. Detailed photon-energy and momentum dependence of the RIXS spectra in comparison with theoretical calculations has clarified the natures of the low-energy charge excitations and hybridization of the electronic states.PACS Numbers: 78.70.Ck, 71.27.+a, 75.10.Pq Resonant inelastic X-ray scattering (RIXS) is a powerful tool to probe the momentum dependence of low-energy excitations in solids. 1,2 This technique is intriguing to clarify bulk electronic states of strongly correlated insulators, which are under a keen general interest in decades. 3,4,5 For metallic systems, highresolution angle-resolved photoemission (ARPES) is promising to detect their occupied states. Nowadays both surface-sensitive low-energy 6 and bulk-sensitive high-energy 7,8 ARPES measurements are feasible. Compared to ARPES, RIXS is really bulk sensitive and applicable to insulators with high resistivity, where the electron correlation is even stronger. 1,2,5,9 However, high energy resolution RIXS is rather demanding because of their poor count rate. For this purpose, high photon flux in a small spot size and a highly efficient analyzer crystal are required.Here we report photon-energy (hν) and momentum (Δk) dependence of the Cu 1s RIXS with good statistics for two contrasting Cu-O 1D insulating systems CuGeO 3 10 and Sr 2 CuO 3 2 with dominantly divalent Cu. As shown in Fig. 1c, CuGeO 3 has a single chain with the edge-sharing CuO 2 plane configuration with the Cu-O-Cu angle (θ) of 99˚, where the Cu-Cu chain axis is taken as the x-axis and the CuO 2 plane corresponds to the x-y plane. The 3d xy orbital is unoccupied because it has the highest energy among the whole d orbitals according to an extended d-p model calculation. 11,12 The transfer energy between the neighboring Cu 3d sites via O 2p sites is thought to be very small because of the orthogonality of the Cu 3d xy orbitals on the neighboring sites coupled to the O 2p orbitals in the edge-sharing CuGeO 3 . On the other hand, Sr 2 CuO 3 has a single Cu-O chain with the corner-sharing configuration as shown in Fig. 2b. The transfer energy is thought to be large in this case, in which the Cu 3d hole is thought to be in the 3d x 2 -y 2 state. Therefore very different behavior of charge dynamics is expected in these systems.RIXS experiment was performed at BL19LXU of SPring-8 with a 27m long X-ray linear undulator. By use of two channel cut crystal monochromators, the resolution of the incident hν was better than 300 meV. A horizontal focusing was better than 100 µm on the sample. The instrument with 1m Rowland circle was used for the measurement. The total resolution of 400 meV (full width at half maximum) was achieved by using a spherically bent Si(553) ana...

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Momentum-Resolved Charge Excitations in a Prototype One-Dimensional Mott Insulator

Cited by 84 publications

References 32 publications

Charge dynamics in half-filled Hubbard chains with finite on-site interaction

Charge dynamics in half-filled Hubbard chains with finite on-site interaction

Resonant inelastic x-ray scattering study of overdopedLa2−xSrxCuO4

Charge dynamics in strongly correlated one-dimensional Cu-O chain systems revealed by inelastic x-ray scattering

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