Monte Carlo Study of Phase Separation in Magnetic Insulators

• Authors: S. Murawski , K. Kapcia , G. Pawłowski , S. Robaszkiewicz
• Languages of publication: EN

Abstracts

EN

In this work we focus on the study of phase separation in the zero-bandwidth extended Hubbard with nearest-neighbors intersite Ising-like magnetic interactions J and on-site Coulomb interactions U. The system has been analyzed by means of the Monte Carlo simulations (in the grand canonical ensemble) on two-dimensional square lattice (with N = L × L = 400 sites) and the results for U/(4J) = 2 as a function of chemical potential and electron concentration have been obtained. Depending on the values of interaction parameters the system exhibits homogeneous (anti-)ferromagnetic or non-ordered phase as well as phase separation state. Transitions between homogeneous phases (i.e. antiferromagnetic-non-ordered transitions) can be of first or second order and the tricritical point is also present on the phase diagrams. The electron compressibility K is an indicator of the phase separation and that quantity is of particular interest of this paper.

Keywords

EN

71.10.Fd; 75.10.-b; 75.30.Fv; 64.75.Gh; 71.10.Hf

Discipline

• 75.30.Fv: Spin-density waves
• 71.10.Fd: Lattice fermion models (Hubbard model, etc.)
• 75.10.-b: General theory and models of magnetic ordering(see also 05.50.+q Lattice theory and statistics)
• 71.10.Hf: Non-Fermi-liquid ground states, electron phase diagrams and phase transitions in model systems
• 64.75.Gh: Phase separation and segregation in model systems (hard spheres, Lennard-Jones, etc.)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2015
• Volume: 127
• Issue: 2
• Pages: 281-283

Dates

published

2015-02

Contributors

author

S. Murawski

• Electron States of Solids Division, Faculty of Physics, Adam Mickiewicz University in Poznań, Umultowska 85, 61-614 Poznań, Poland

author

K. Kapcia

• Electron States of Solids Division, Faculty of Physics, Adam Mickiewicz University in Poznań, Umultowska 85, 61-614 Poznań, Poland

author

G. Pawłowski

• Electron States of Solids Division, Faculty of Physics, Adam Mickiewicz University in Poznań, Umultowska 85, 61-614 Poznań, Poland

author

S. Robaszkiewicz

• Electron States of Solids Division, Faculty of Physics, Adam Mickiewicz University in Poznań, Umultowska 85, 61-614 Poznań, Poland

References

• [1] H. Barz, Mater. Res. Bull 8, 983 (1973), doi: 10.1016/0025-5408(73)90083-4
• [2] A.K. Rastogi, A. Berton, J. Chaussy, R. Tournier, H. Patel, R. Chevrel, M. Sergent, J. Low Temp. Phys 52, 539 (1983), doi: 10.1007/BF00682130
• [3] S. Lamba, A.K. Rastogi, D. Kumar, Phys. Rev. B 56, 3251 (1997), doi: 10.1103/PhysRevB.56.3251
• [4] E. Berg, E. Fradkin, S.A. Kivelson, J.M. Tranquada, New. J. Phys 11, 115004 (2009), doi: 10.1088/1367-2630/11/11/115004
• [5] R. Micnas, J. Ranninger, S. Robaszkiewicz, Rev. Mod. Phys 62, 113 (1990), doi: 10.1103/RevModPhys.62.113
• [6] G.I. Japaridze, E. Müller-Hartmann, Phys. Rev. B 61, 9019 (2000), doi: 10.1103/PhysRevB.61.9019
• [7] C. Dziurzik, G.I. Japaridze, A. Schadschneider, J. Zittartz, Eur. Phys. J. B 37, 453 (2004), doi: 10.1140/epjb/e2004-00081-5
• [8] W.R. Czart, S. Robaszkiewicz, Phys. Status Solidi B 243, 151 (2006), doi: 10.1002/pssb.200562502
• [9] C. Dziurzik, G.I. Japaridze, A. Schadschneider, I. Titvinidze, J. Zittartz, Eur. Phys. J. B 51, 41 (2006), doi: 10.1140/epjb/e2006-00193-x
• [10] W.R. Czart, S. Robaszkiewicz, Acta Phys. Pol. A 109, 577 (2006) http://przyrbwn.icm.edu.pl/APP/PDF/109/a109z421.pdf
• [10a] W.R. Czart, S. Robaszkiewicz, Mater. Sci.-Poland 25, 485 (2007)
• [11] G. Pawłowski, Eur. Phys. J. B 53, 471 (2006), doi: 10.1140/epjb/e2006-00409-1
• [12] G. Pawłowski, T. Kaźmierczak, Solid State Commun 145, 109 (2008), doi: 10.1016/j.ssc.2007.10.015
• [13] S. Murawski, K. Kapcia, G. Pawłowski, S. Robaszkiewicz, Acta Phys. Pol. A 121, 1035 (2012) http://przyrbwn.icm.edu.pl/APP/PDF/121/a121z5p13.pdf
• [14] S. Murawski, K.J. Kapcia, G. Pawłowski, S. Robaszkiewicz, Acta Phys. Pol. A 126, A-110 (2014), doi: 10.12693/APhysPolA.126.A-110
• [15] D.W. Heermann, Computer Simulation Methods in Theoretical Physics, 2nd ed., Springer-Verlag, Berlin 1990, doi: 10.1007/978-3-642-75448-7
• [16] F. Mancini, E. Plekhanov, G. Sica, Cen. Eur. J. Phys 10, 609 (2012), doi: 10.2478/s11534-012-0017-z
• [17] F. Mancini, E. Plekhanov, G. Sica, Eur. Phys. J. B 86, 224 (2013), doi: 10.1140/epjb/e2013-40046-y
• [18] U. Brandt, J. Stolze, Z. Phys. B 62, 433 (1986), doi: 10.1007/BF01303574
• [19] J. Jędrzejewski, Physica A 205, 702 (1994), doi: 10.1016/0378-4371(94)90231-3
• [20] K.J. Kapcia, W. Kłobus, S. Robaszkiewicz, Acta Phys. Pol. A 127, 284 (2015), doi: 10.12693/APhysPolA.127.284
• [21] S. Robaszkiewicz, Acta Phys. Pol. A 55, 453 (1979)
• [22] S. Robaszkiewicz, Phys. Status Solidi B 70, K51 (1975), doi: 10.1002/pssb.2220700156
• [23] W. Kłobus, K. Kapcia, S. Robaszkiewicz, Acta Phys. Pol. A 118, 353 (2010) http://przyrbwn.icm.edu.pl/APP/PDF/118/a118z2p31.pdf
• [23a] K. Kapcia, W. Kłobus, S. Robaszkiewicz, Acta Phys. Pol. A 121, 1032 (2012) http://przyrbwn.icm.edu.pl/APP/PDF/121/a121z5p12.pdf
• [24] S. Robaszkiewicz, Phys. Status Solidi B 59, K63 (1973), doi: 10.1002/pssb.2220590155
• [25] K. Kapcia, Acta Phys. Pol. A 121, 733 (2012), doi: przyrbwn.icm.edu.pl/APP/PDF/121/a121z4p104.pdf
• [25a] K.J. Kapcia, Acta Phys. Pol. A 127, 204 (2015), doi: 10.12693/APhysPolA.127.204
• [25b] K.J. Kapcia, J. Supercond. Novel Magn. in press (2015), doi: 10.1007/s10948-014-2906-4

Identifiers

DOI

10.12693/APhysPolA.127.281