Browsing by Author "Rakhimov, Abdulla"

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Open Access
Characteristic temperatures of a triplon system of dimerized quantum magnets
(World Scientific Publishing Co. Pte. Ltd., 2021) Rakhimov, Abdulla; Nishonov, M.; Rani, Luxmi; Tanatar, Bilal
Exploiting the analogy between ultracold atomic gases and the system of triplons, we study magneto-thermodynamic properties of dimerized quantum magnets in the framework of Bose–Einstein condensation (BEC). Particularly, introducing the inversion (or Joule–Thomson) temperature TJT as the point where Joule–Thomson coefficient of an isenthalpic process changes its sign, we show that for a simple paramagnet, this temperature is infinite, while for three-dimensional (3D) dimerized quantum magnets it is finite and always larger than the critical temperature Tc of BEC. Below the inversion temperature T
Open Access
Effects of exchange and weak Dzyaloshinsky–Moriya anisotropies on thermodynamic characteristics of spin-gapped magnets
(World Scientific Publishing Co. Pte. Ltd., 2021-10-08) Rakhimov, Abdulla; Khudoyberdiev, Asliddin; Tanatar, Bilal
We study the modification of low-temperature properties of quantum magnets such as magnetization, heat capacity, energy spectrum and densities of condensed and noncondensed quasiparticles (triplons) due to anisotropies in the framework of mean-field- based approach. We show that in contrast to exchange anisotropy (EA) interaction, Dzyaloshinsky–Moriya (DM) interaction modifies the physics dramatically. Particularly, it changes the sign of the anomalous density in the whole range of temperatures. Its critical behavior is slightly modified also by the EA. We have found that the shift of the critical temperature of phase transition (or crossover caused by DM interaction) is positive and significant. Using the experimental data on the magnetization of the compound TlCuCl3, we have found optimal values for the strengths of EA and DM interactions. The spectrum of the energy of low lying excitations has also been investigated and found to develop a linear dispersion similar to Goldstone mode with a negligibly small anisotropy gap.
Open Access
Joule-Thomson temperature of a triplon system of dimerized quantum magnets
(Elsevier, 2020) Rakhimov, Abdulla; Nishonov, M.; Tanatar, Bilal
It is well known that, for a system of atomic (molecular) gases both kinds of processes, isentropic as well as isenthalpic are realizable and widely used in refrigeration technique. Particularly, magnetic refrigeration exploits always isentropic process, characterized by Grüneisen parameter ΓH=(∂T/∂H)S/T. We propose that, for quantum magnets an isenthalpic (Joule-Thomson) process, characterized by Joule-Thomson coefficient κT=(∂T/∂H)W may be also available. We considered this effect for a simple paramagnetic and dimerized spin-gapped quantum magnets at low temperatures. We have shown that for both kind of materials refrigeration by using Joule-Thomson effect is more effective than by using ordinary isentropic process, i.e. κT>TΓH at low temperatures. For dimerized spin-gapped magnets, where Bose–Einstein condensation of triplon gas may take place, the Joule-Thomson temperature corresponds to the maximal temperature of liquefaction of the triplon system, which is compared with recent experimental observations performed by Dresden group (Wang et al. (2016) [21]). The inversion temperature, where reverse of cooling and heating up regimes takes place, found to be finite for triplons, but infinite for magnons in a simple paramagnetic.
Open Access
Spin-gapped magnets with weak anisotropies I: Constraints on the phase of the condensate wave function
(Elsevier, 2020-11-27) Rakhimov, Abdulla; Khudoyberdiev, A.; Rani, Luxmi; Tanatar, Bilal
We study the thermodynamic properties of dimerized spin-gapped quantum magnets with and without exchange anisotropy (EA) and Dzyaloshinsky and Moriya (DM) anisotropies within the mean-field approximation (MFA). For this purpose we obtain the thermodynamic potential of a triplon gas taking into account the strength of DM interaction up to second order. The minimization of with respect to self-energies and yields the equation for , which define the dispersion of quasiparticles where is the bare dispersion of triplons. The minimization of with respect to the magnitude and the phase of triplon condensate leads to coupled equations for and . We discuss the restrictions on and imposed by these equations for systems with and without anisotropy. The requirement of dynamical stability conditions in equilibrium, as well as the Hugenholtz–Pines theorem, particularly for isotropic Bose condensate, impose certain conditions to the physical solutions of these equations. It is shown that the phase angle of a purely homogenous Bose–Einstein condensate (BEC) without any anisotropy may only take values (n=0, ...) while that of BEC with even a tiny DM interaction results in . In contrast to the widely used Hartree–Fock–Popov approximation, which allows arbitrary phase angle, our approach predicts that the phase angle may have only discrete values, while the phase of the wave function of the whole system remains arbitrary as expected. The consequences of this phase locking for interference of two Bose condensates and to their possible Josephson junction is studied. In such quantum magnets the emergence of a triplon condensate leads to a finite staggered magnetization , whose direction in the xy-plane is related to the condensate phase . We also discuss the possible Kibble–Zurek mechanism in dimerized magnets and its influence on .