Joule-Thomson temperature of a triplon system of dimerized quantum magnets

Rakhimov, Abdulla; Nishonov, Mukhtorali; Tanatar, B.

doi:10.1016/j.physleta.2020.126313

Cited by 6 publications

(3 citation statements)

References 37 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It is well established that low temperature properties of such a class of quantum magnets could be described within the paradigm of BEC of these quasiparticles called triplons. Therefore, one may conclude that, at low temperature, thermodynamic properties of such materials are mainly determined (but not only) by the condensation (and depletion) of triplons [27,[31][32][33]. Triplon concept has found application in other spin-gapped models as well [34].…”

Section: Introductionmentioning

confidence: 99%

Critical behavior of Tan’s contact for bosonic systems with a fixed chemical potential

Rakhimov¹,

Abdurakhmonov²,

Tanatar³

2021

J. Phys.: Condens. Matter

Self Cite

View full text Add to dashboard Cite

The temperature dependence of Tan's contact parameter C and its derivatives for spin gapped quantum magnets are investigated. We use the paradigm of Bose-Einstein condensation (BEC) to describe the low temperature properties of quasiparticles in the system known as triplons. Since the number of particles and the condensate fraction are not fixed we use the μVT ensemble to calculate the thermodynamic quantities. The interactions are treated at the Hartree-Fock-Bogoliubov approximation level. We obtained the temperature dependence of C and its derivative with respect to temperature and applied magnetic field both above and below T c of the phase transition from the normal phase to BEC. We have shown that C is regular, while its derivatives are discontinuous at T c in accordance with Ehrenfest's classification of phase transitions. Moreover, we have found a sign change in ∂C/∂T close to the critical temperature. As to the quantum critical point, C and its derivatives are regular as a function of the control parameter r, which induces the quantum phase transition. At very low temperatures, one may evaluate C simply from the expression C = m 2 μ 2 /ā 4 , where the only parameter effective mass of quasiparticles should be estimated. We propose a method for measuring of Tan's contact for spin gapped dimerized magnets.

show abstract

Section: Introductionmentioning

confidence: 99%

Critical behavior of Tan’s contact for bosonic systems with a fixed chemical potential

Rakhimov¹,

Abdurakhmonov²,

Tanatar³

2021

J. Phys.: Condens. Matter

Self Cite

View full text Add to dashboard Cite

show abstract

“…It is well established that low temperature properties of such a class of quantum magnets could be described within the paradigm of Bose-Einstein condensation of these quasiparticles referred to as triplons. Therefore, one may conclude that at low temperatures thermodynamic properties of such materials are determined mainly (but not only) by the condensation (and depletion) of triplons [27,[31][32][33]. There is one more reason of our choice of spin gapped quantum magnets to study Tan's contact.…”

Section: Introductionmentioning

confidence: 99%

Critical behavior of Tan's contact for bosonic systems with a fixed chemical potential

Rakhimov,

Abdurakhmonov,

Tanatar

2021

Preprint

Self Cite

View full text Add to dashboard Cite

The temperature dependence of Tan's contact parameter C and its derivatives for spin gapped quantum magnets are investigated. We use the paradigm of Bose-Einstein condensation (BEC) to describe the low temperature properties of quasiparticles in the system known as triplons. Since the number of particles and the condensate fraction are not fixed we use the µV T ensemble to calculate the thermodynamic quantities. The interactions are treated at the Hartree-Fock-Bogoliubov approximation level. We obtained the temperature dependence of C and its derivative with respect to temperature and applied magnetic field both above and below the critical temperature T c of the phase transition from the normal phase to BEC. We have shown that C is regular, while its derivatives are discontinuous at T c in accordance with Ehrenfest's classification of phase transitions. Moreover, we have found a sign change in ∂C/∂T close to the critical temperature. As to the quantum critical point, C and its derivatives are regular as a function of the control parameter r, which induces the quantum phase transition. At very low temperatures, one may evaluate C simply from the expression C = m 2 µ 2 /ā 4 , where the only parameter effective mass of quasiparticles should be estimated. We propose a method for experimentallly measuring of Tan's contact for spin gapped dimerized magnets.

show abstract

“…where E and V are the total energy and volume of the system, respectively, a is the swave scattering length and m is the mass of particle. This equation manifests the relation between macroscopic thermodynamical parameter E and microscopic parameter a. Consequently, the variation of the total energy can be written in following general form [14,15]:…”

Section: Introductionmentioning

confidence: 99%

Tan's contact as an indicator of completeness and self-consistency of a theory

Rakhimov

2020

Preprint

Self Cite

View full text Add to dashboard Cite

It is well known that, Tan's contact could be calculated by using any of following three methods: by the asymptotic behavior of momentum distribution; by Tan's adiabatic sweep theorem; or by the operator product expansion as an expectation value of the interaction term. We argue that, if a theory describing Bose (or Fermi) system with the only contact interaction is self consistent, then it should lead to the same result in all three cases. As an example we considered MFT based approaches and established that among existing approximations of MFT, the Hartree -Fock -Bogoliubov (HFB) approach is the most self consistent. Actually, HFB is able to describe existing experimental data on Tan's contact for dilute Bose gas, but fails to predict its expected behavior at large gas parameter (γ > 0.015). So, for appropriate description of properties of a Bose gas even at zero temperature, this approximation needs to be expanded by taking into account fluctuations in higher order then the second one.

show abstract

Joule-Thomson temperature of a triplon system of dimerized quantum magnets

Cited by 6 publications

References 37 publications

Critical behavior of Tan’s contact for bosonic systems with a fixed chemical potential

Critical behavior of Tan’s contact for bosonic systems with a fixed chemical potential

Critical behavior of Tan's contact for bosonic systems with a fixed chemical potential

Tan's contact as an indicator of completeness and self-consistency of a theory

Contact Info

Product

Resources

About