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de Haas‐van Alphen magnetization oscillations in the system of quasiparticles with spin dependent masses

AIP Conference Proceedings 2010年第1期1297卷 417-421页

作者： Olga Howczak Jozef Spałek aMarian Smoluchowski Institute of Physics Jagiellonian University 30‐059 Kraków Poland bFaculty of Physics and Applied Computer Science AGH University of Science and Technology 30‐059 Kraków Poland

We consider magnetic properties of a two‐dimensional Fermi liquid of quasiparticles with spin dependent masses, that are located in a periodic crystal potential. To determine thermodynamic properties of obtained Hofstadter‐like model we use the quantum transfer‐matrix method developed by T. Xiang and collaborators. The de Haas‐van Alphen oscillations of magnetization, as well as magnetic susceptibility are calculated at finite temperature.

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Superconductivity in a correlated system of quasiparticles with spin‐dependent masses

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AIP Conference Proceedings 2010年第1期1297卷 422-427页

作者： Jan Kaczmarczyk Jozef Spałek aMarian Smoluchowski Institute of Physics Jagiellonian University ul. Reymonta 4 30‐059 Kraków Poland bFaculty of Physics and Applied Computer Science AGH University of Science and Technology ul. Reymonta 19 30‐059 Kraków Poland

We discuss a paired state of quasiparticles with spin dependent masses (SDM), which were observed recently in the CeCoIn5 system (cf. Ref. [1]). In the same strongly‐correlated system the Fulde‐Ferrell‐Larkin‐Ovchinnikov (FFLO) phase appears. The spin‐dependent masses essentially extend the regime of applied field and temperatures in which FFLO phase is stable. We believe that the mechanism of the FFLO stabilization by the mass spin‐dependence is generic. Therefore, FFLO phases should be searched for in the same systems in which spin‐dependent masses were observed and vice versa. We compare results of our model calculations with the experiment.

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A simple approach to magnetoelectric correlations in ferroelectric ferromagnets: the case of BiMnO3

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AIP Conference Proceedings 2009年第1期1198卷 55-63页

作者： O. Howczak J. Spałek aMarian Smoluchowski Institute of Physics Jagiellonian University Reymonta 4 30‐059 Kraków Poland bFaculty of Physics and Applied Computer Science AGH University of Science and Technology 30‐059 Kraków Poland

We discuss a simple version of Landau theory with two single‐component order parameters, P and M, corresponding to the ferroelectric and ferromagnetic phases coupled to each other via a −|λ|P2M2 term. In the case of ferroelectricity appearing at a temperature Tf much higher than that of a ferromagnetic transition, the latter is strongly renormalized ( TM→TRM>> TM ). The thermodynamics of the model in spatially homogeneous phases is elaborated first. Our simple formulation is applied next to BiMnO3 and provides a good semiquantitative description of the magnetic and dielectric properties except for the specific heat, which is not entirely explained in the regime T≈TRM even when the Gaussian fluctuations of the order parameters are included. Possible improvements to our approach are briefly discussed.

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Mathematical Modeling of Soliton‐like Solutions in the Scalar‐tensor Theories of Gravity

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AIP Conference Proceedings 2009年第1期1186卷 173-179页

作者： I. Zh. Stefanov D. Georgieva S. Yazadjiev M. Todorov aDept. of Applied Physics Technical University of Sofia 8 Kliment Ohridski Blvd. 1000 Sofia Bulgaria bFaculty of Applied Mathematics and Computer Science Technical University of Sofia 8 Kliment Ohridski Blvd. 1000 Sofia Bulgaria cSt.Kliment Ohridski University of Sofia Faculty of Physics Department of Theoretical Physics 5 J. Bourchier Blvd. 1126 Sofia Bulgaria

In the present, work we find new numerical solutions describing soliton‐like objects coupled to non‐linear electrodynamics in the scalar‐tensor theories of gravity. Approximate solutions have been also obtained and a comparison to the numerical results has been made. The non‐existence of black holes for the specific choice of lagrangian of the nonlinear electrodynamics has been also proved.

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