Abstract
Here we study thermodynamic properties of an important class of single-chain magnets (SCMs), where alternate units are isotropic and anisotropic with anisotropy axes being non-collinear. This class of SCMs shows slow relaxation at low temperatures which results from the interplay of two different relaxation mechanisms, namely dynamical and thermal. Here anisotropy is assumed to be large and negative, as a result, anisotropic units behave like canted spins at low temperatures; but even then simple Ising-type model does not capture the essential physics of the system due to quantum mechanical nature of the isotropic units. We here show how statistical behavior of this class of SCMs can be studied using a transfer matrix (TM) method. We also, for the first time, discuss in detail how weak inter-chain interactions can be treated by a TM method. The finite size effect is also discussed which becomes important for low temperature dynamics. At the end of this paper, we apply this technique to study a real helical chain magnet.
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Bogani, L., Vindigni, A., Sessoli, R., Gatteschi, D.: Single chain magnets: where to from here? J. Mater. Chem. 18, 4750–4758 (2008)
Miyasaka, H., Julve, M., Yamashita, M., Clérac, R.: Slow dynamics of the magnetization in one-dimensional coordination polymers: single-chain magnets. Inorg. Chem. 48, 3420–3437 (2009)
Coulon, C., Clérac, R., Lecren, L., Wernsdorfer, W., Miyasaka, H.: Glauber dynamics in a single-chain magnet: from theory to real systems. Phys. Rev. B 69, 132408–132412 (2004)
Vindigni, A.: Statistics and game theory in single-chain magnet relaxation. Inorg. Chim. Acta 361, 3731–3739 (2008)
Sun, H.-L., Wang, Z.-M., Gao, S.: Strategies towards single-chain magnets. Coord. Chem. Rev. 254, 1081–1100 (2010)
Georges, R., Borrás-Almenar, J.J., Coronado, E., Curély, J., Drillon, M.: One-dimensional magnetism: an overview of the models. In: Miller, J.S., Drillon, M. (eds.) Magnetism: Molecules to Materials I. Wiley-VCH, New York (2001)
Coulon, C., Miyasaka, H., Clérac, R.: Single-chain magnets: theoretical approach and experimental systems. Struct. Bond. 122, 163–206 (2006)
Dupas, C., Renard, J.P., Seiden, J., Cheikh-Rouhou, A.: Static magnetic properties of (CH3)4NMn x Cu1−x Cl3, a quantum ferromagnetic chain with classical impurities: experiment and theory. Phys. Rev. B 25, 3261–3272 (1982)
Seiden, J.: Propriétés statiques d’une chaîne isotrope alternée de spins quantiques 1/2 et de spins classiques. J. Phys. Lett. 44, 947–952 (1983)
Verdaguer, M., Gleizes, A., Renard, J.P., Seiden, J.: Susceptibility and magnetization of CuMn(S2C2O2)2⋅7.5H2O. First experimental and theoretical characterization of a quasi-one-dimensional ferrimagnetic chain. Phys. Rev. B 29, 5144–5155 (1984)
Georges, R., Curély, J., Gianduzzo, J.C., Qiang, Xu., Pei, Y.: Alternating quantum-classical spin Heisenberg chains: exchange and/or cation random distribution effects. Physica B 153, 77–84 (1988)
Curély, J., Georges, R., Drillon, M.: Local-anisotropy and spin-nature effects in ferrimagnetic Ising chains: New compensation phenomena. Phys. Rev. B 33, 6243–6252 (1986)
Pełka, R., Bałanda, M., Przychodzeń, P., Tomala, K., Sieklucka, B., Wasiutyński, T.: Generalized theoretical approach to quasi-one-dimensional molecular magnets. Phys. Status Solidi C 3, 216–219 (2006)
Strečka, J., Michal Jaščur, M.: Existence of a magnetization plateau in a class of exactly solvable Ising–Heisenberg chains. J. Phys., Condens. Matter 15, 4519–4534 (2003)
Chandra, V.R., Ramasesha, S., Sen, D.: Magnetic properties of a helical spin chain with alternating isotropic and anisotropic spins: magnetization plateaus and finite entropy. Phys. Rev. B 70, 144404–144412 (2004)
Venkatakrishnan, T.S., Sahoo, S., Bréfuel, N., Duhayon, C., Paulsen, C., Barra, A.-L., Ramasesha, S., Sutter, J.-P.: Enhanced ion anisotropy by nonconventional coordination geometry: single-chain magnet behavior for a [{FeII L}2{NbIV(CN)8}] helical chain compound designed with heptacoordinate FeII. J. Am. Chem. Soc. 132, 6047–6056 (2010)
Ferbinteanu, M., Miyasaka, H., Wernsdorfer, W., Nakata, K., Sugiura, K., Yamashita, M., Coulon, C., Clérac, R.: Single-chain magnet (NEt4)[Mn2(5-MeOsalen)2Fe(CN)6] made of MnIIIFeIIIMnIII trinuclear single-molecule magnet with an S T =9/2 spin ground state. J. Am. Chem. Soc. 127, 3090–3099 (2005)
Clérac, R., Miyasaka, H., Yamashita, M., Coulon, C.: Evidence for single-chain magnet behavior in a MnIIINiII chain designed with high spin magnetic units: a route to high temperature metastable magnets. J. Am. Chem. Soc. 124, 12837–12844 (2002)
Zheng, Y.-Z., Tong, M.-L., Zhang, W.-X., Chen, X.-M.: Assembling magnetic nanowires into networks: a layered CoII carboxylate coordination polymer exhibiting single-chain-magnet behavior. Angew. Chem. Int. Ed. 45, 6310–6324 (2006)
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We are thankful to the Department of Science and Technology (DST), India for financial support.
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Sahoo, S., Sutter, JP. & Ramasesha, S. Study of Low Temperature Magnetic Properties of a Single Chain Magnet with Alternate Isotropic and Non-collinear Anisotropic Units. J Stat Phys 147, 181–193 (2012). https://doi.org/10.1007/s10955-012-0460-7
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DOI: https://doi.org/10.1007/s10955-012-0460-7