Temporal decoupling of spin and crystallographic phase transitions in Fe(ptz) 6 (BF 4 ) 2 Hiroshi Watanabe, 1 Hideki Hirori, 2 Gabor Molnár, 3,4 Azzedine Bousseksou, 3,4 and Koichiro Tanaka 1,2, * 1 Department of Physics, Graduate School of Science, Kyoto University, Sakyo-ku, Kyoto 606-8502, Japan 2 Institute for Integrated Cell-Material Sciences, Kyoto University, Sakyo-ku, Kyoto 606-8501, Japan 3 Laboratoire de Chimie de Coordination, CNRS, 205 Route de Narbonne, 31077 Toulouse, France 4 UPS, INPT, LCC, Université de Toulouse, F-31077 Toulouse, France Received 15 April 2009; published 12 May 2009 We have studied relaxation dynamics of the thermally and photoinduced metastable states in Feptz 6 BF 4 2 near the spin transition temperature using magnetic-susceptibility measurements and optical- absorption spectroscopy as function of the time. We observed two-step relaxations from the photoinduced high-spin to the ground low-spin state. The time-resolved measurements of the spin-relaxation processes allow us to decouple the spin transition and the crystallographic phase transition and evaluate their intrinsic transition temperatures as 122 and 132 K, respectively. DOI: 10.1103/PhysRevB.79.180405 PACS numbers: 75.30.Wx, 64.60.-i, 78.47.-p The photoinduced phase-transition PIPTphenomenon has been extensively studied in a variety of systems because of its fundamental importance in physics and its potential applications in optical data storage and processing devices. 13 The cooperative interaction plays an important role in PIPT and induces nonlinear phenomena, such as the existence of a threshold light intensity and an incubation period. 35 This is particularly true for ironIIspin-crossover coordination complexes, where the photoirradiation causes a spin transition between the 5 T 2 high-spin HSstate and the 1 A 1 low-spin LSstate. The thermal spin transition strongly coupled with the crystallographic phase transition is among the most intrigu- ing phenomena in spin-crossover complexes. 69 A delicate balance between two order parameters of spin and structure gives us possibilities to drive the materials into various meta- stable states by external stimuli. Even in other types of phase-transition phenomena in solids, e.g., the multiferroic systems, 10 perovskite manganite, 11 prussian blue analogs, 12 and charge-transfer molecular crystals, 13,14 the coupling and decoupling of charge, spin and lattice degrees of freedom are key matters for understanding and controlling of material phases. However, the strong coupling between different or- der parameters renders the respective phase-transition phe- nomena difficult to study, and direct selective observation of strongly coupled phase transitions is desirable. In systems which are described by several order parameters, time- resolved measurements may allow us to observe respective phase transitions from photoinduced metastable states to elu- cidate the underlying functional response. In this Rapid Communication, we report the relaxation dynamics in the thermal-quenched and photoinduced HS PIHSstates in the spin-crossover complex Feptz 6 BF 4 2 near the thermal phase-transition temperature using time- resolved magnetic-susceptibility and optical-absorption spec- troscopy measurements. Feptz 6 BF 4 2 is well-established model system for studying the phase-transition phenomena with competing order parameters. 7,8,1522 We observed two- step relaxations in the PIHS state from the HS to LS state through an intermediate state. Using infrared IRspectros- copy we show that the intermediate state has the same spin and crystallographic structure as the quenched state. The temperature dependence of the HS fraction and the IR- absorption spectra show that a spin transition without a crys- tallographic phase transition in the intermediate state should occur at 122 K. Furthermore, the critical slowing down phe- nomena indicates that the crystallographic phase transition with the spin transition occurs at 132 K. Single crystals of Feptz 6 BF 4 2 were prepared as de- scribed previously, 23 with a typical crystal size of 2 2 0.1 mm. First, we made the magnetic-susceptibility measurement using a superconducting quantum interfer- ence device SQUIDmagnetometer MPMS-5S Quantum Design, which has a 20 s time resolution. We estimated the HS fraction of the samples from the product of the magnetic susceptibility and temperature T. Figure 1ashows the temperature dependence of the HS fraction on slow temperature change 1 K/minand exhibits an abrupt thermal spin transition accompanied by a hysteresis loop. The spin transition temperatures where the HS and LS fractions are equal to 0.5upon heating T 1/2 LS HSand cooling T 1/2 HS LSare obtained as 137 and 125 K, respectively. The measured transition tem- peratures depend on the heating and cooling rate. It is known that this spin transition competes with a crystallographic phase transition. 8 This compound exhibits two different crys- tallographic phases: 16 rhombohedral at high temperature HTor a disordered phase at low temperature LT. When the sample is cooled slowly 1K / min, the HS LS spin transition is accompanied by a crystallographic phase transi- tion from the HT to LT structure phase. On the contrary, quenching 10 K / minto 80 K brings about the LS state without the crystallographic phase transition. In order to elucidate the mechanism underlying the phase transitions with competing order parameters, we observed the relaxation dynamics of the HS fraction at various tem- peratures, as indicated by the lower arrows in Fig. 1a. Fig- ure 1bshows the relaxation curves of the HS fraction, HS , from the upper branch of the hysteresis loop to the LS state, exhibiting a sigmoidal behavior. As shown in Fig. 1b, the HS state relaxes to the LS state below 131 K and the relax- ation time increases with increasing temperature. At 132 K, the initial HS fraction HS = 0.85is persistent over 20 h. As shown in Fig. 1b, the relaxation curves of the HS fraction can be observed well above 127 K. However, we PHYSICAL REVIEW B 79, 180405R2009 RAPID COMMUNICATIONS 1098-0121/2009/7918/1804054©2009 The American Physical Society 180405-1