Correlation of electronic structure and ordered charge and orbital patterns for single-layered manganites in a wide hole-doping range 0 x 1 Y. S. Lee, 1,2 T. Arima, 1,3 S. Onoda, 1 Y. Okimoto, 4 Y. Tokunaga, 1 R. Mathieu, 1 X. Z. Yu, 1 J. P. He, 1 Y. Kaneko, 1 Y. Matsui, 5 N. Nagaosa, 4,6 and Y. Tokura 1,4,6 1 Spin Superstructure Project and Multiferroics Project, ERATO, Japan Science and Technology Agency, Tsukuba 305-8562, Japan 2 Department of Physics, Soongsil University, Seoul 156-743, Korea 3 Institute of Multidisciplinary Research for Advanced Materials, Tohoku University, Sendai 980-8577, Japan 4 Correlated Electron Research Center (CERC), National Institute of Advanced Industrial Science and Technology (AIST), AIST Tsukuba Central 4, Tsukuba 305-8562, Japan 5 Advanced Materials Laboratory, National Institute for Materials Science (NIMS), Tsukuba 305-0044, Japan 6 Department of Applied Physics, University of Tokyo, Tokyo 113-8656, Japan Received 29 January 2007; published 6 April 2007 We investigated the doping-dependent evolution of the charge-orbital ordering CO-OOphase using optical spectroscopy of a series of single-layer manganites, La 1-x Sr 1+x MnO 4 x =0 and 1and Pr 1-x Ca 1+x MnO 4 0.3 x 0.7. We found that the electronic response of the CO-OO phase changes asymmetrically with respect to the addition or removal of e g electrons from x =1/2. Especially, low-energy optical spectra depend strongly on the modulation vector of striped phase in a higher doping region x 1/2. This finding highlights the role of the nanoscale structure of e g ordering in the electronic property of the striped phase in the layered manganite. DOI: 10.1103/PhysRevB.75.144407 PACS numbers: 75.47.Gk, 75.30.Et, 78.40.Ha I. INTRODUCTION The physics of doped Mott insulators is at the focus of current research on strongly correlated electronic system be- cause of a variety of intriguing ground states that originate from strong correlations among the doped holes. 1 One of the interesting examples is the one-dimensional 1Dcharge-spin superstructure, referred to as stripe. The charge-spin striped phase has been observed with a strong doping concentration dependence in some two-dimensional 2DCu and Ni ox- ides. On the other hand, in a situation where the orbital de- gree of freedom is active, the striped pattern is even more peculiar, which is the case of charge-orbital stripe observed for some Mn oxides in close relation to the magnetic correlation. 25 For example, at half doping x =1/2, the zig- zag chain-type e g orbital arrangement along the direction perpendicular to the charge stripe is formed below the charge-orbital ordering CO-OOtransition temperature T CO-OO and drives the CE-type magnetic order below Néel temperature T N T CO-OO : the ferromagnetic FMspin or- dering along the zigzag chain and the antiferromagnetic AFMcoupling between neighboring chains. These peculiar properties of the charge-orbital stripe imply that the manga- nite may provide an important laboratory to investigate the role of the orbital degree of freedom in determining the elec- tronic property of the striped phase. In pseudocubic perovskite 113manganites, the compe- tition between CO-OO and FM correlations leads to a com- plex nature of phase diagram with a metal-insulator transition. 5 Moreover, various ordering types are observed with doping. For example, the ground states of Nd 1-x Sr x MnO 3 are FM for x = 0.4, CO-OO and CE-type AFM for x = 0.5, A type for x = 0.55, and C type for x = 0.65. 6,7 In a single-layer 214structure, on the other hand, the low-temperature FM correlation is almost suppressed 8 and insulating phases are dominant in an entire doping range. Indeed, the CO-OO phase of the Pr 1-x Ca 1+x MnO 4 PCMOseries is robust in a relatively wide doping range of 0.35 x 0.75. 9,10 In this situation, it is fea- sible to access the generic doping-dependent evolution of the CO-OO state without any disturbance of FM correlation. No- tably, the phase diagram for the CO-OO phase in the 214 structure shows an asymmetric behavior around x =1/2: the CO-OO correlation is weakened for x 1/2, whereas the modulation period of the charge-orbital stripe changes sys- tematically with doping for x 1/2. 8,9,11,12 Most likely this asymmetric doping dependence is attributed to a peculiar e g orbital correlation. To elucidate this, optical spectroscopy on the electronic structure of the insulating CO-OO state will be useful. In this paper, we report on the in-plane optical study of the Pr 1-x Ca 1+x MnO 4 series where the CO-OO state is ro- bust in a relatively wide doping range of 0.35 x 0.75. 9,10 In an effort to reveal the electronic structure in the layered manganites including the end member compounds, it is found that the low-energy absorption formed by introducing holes depends strongly on the CO-OO pattern as well as x. The significant change in the spectral shape with the stripe periodicity is compared with a theoretical calculation. II. EXPERIMENT Pr 1-x Ca 1+x MnO 4 0.3 x 0.7, LaSrMnO 4 x =0, and Sr 2 MnO 4 x =1single crystals were grown by the floating- zone method. 11 To characterize the CO-OO phase of the PCMO series, we performed measurements of dc resistivity, magnetization, and electron diffraction pattern measure- ments. T-dependent reflectivity spectra Rat nearly nor- mal incidence were measured for the Mn-O plane ab plane at photon energies from 0.06 to 5 eV with T variation from 10 to 400 K and connected smoothly to room-temperature Rabove 5 – 40 eV, which was measured with synchrotron PHYSICAL REVIEW B 75, 144407 2007 1098-0121/2007/7514/1444076©2007 The American Physical Society 144407-1