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

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buir.contributor.authorTanatar, Bilal
buir.contributor.orcidTanatar, Bilal|0000-0002-5246-0119
dc.citation.epage10en_US
dc.citation.issueNumber46en_US
dc.citation.spage1en_US
dc.citation.volumeNumber33en_US
dc.contributor.authorRakhimov, A.
dc.contributor.authorAbdurakhmonov, T.
dc.contributor.authorTanatar, Bilal
dc.date.accessioned2022-02-09T12:57:36Z
dc.date.available2022-02-09T12:57:36Z
dc.date.issued2021-09-01
dc.departmentDepartment of Physicsen_US
dc.description.abstractThe 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 Tc of the phase transition from the normal phase to BEC. We have shown that C is regular, while its derivatives are discontinuous at Tc 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 $C={m}^{2}{\mu }^{2}/{\overline{a}}^{4}$, 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.en_US
dc.description.provenanceSubmitted by Burcu Böke (tburcu@bilkent.edu.tr) on 2022-02-09T12:57:36Z No. of bitstreams: 1 Critical_behavior_of_Tan_s_contact_for_bosonic_systems_with_a_fixed_chemical_potential.pdf: 1088274 bytes, checksum: 4f553c63ca04391afeb56c75c782a98b (MD5)en
dc.description.provenanceMade available in DSpace on 2022-02-09T12:57:36Z (GMT). No. of bitstreams: 1 Critical_behavior_of_Tan_s_contact_for_bosonic_systems_with_a_fixed_chemical_potential.pdf: 1088274 bytes, checksum: 4f553c63ca04391afeb56c75c782a98b (MD5) Previous issue date: 2021-09-01en
dc.identifier.doi10.1088/1361-648X/ac1ec6en_US
dc.identifier.eissn1361-648X
dc.identifier.issn0953-8984
dc.identifier.urihttp://hdl.handle.net/11693/77177
dc.language.isoEnglishen_US
dc.publisherInstitute of Physics Publishing Ltd.en_US
dc.relation.isversionofhttps://doi.org/10.1088/1361-648X/ac1ec6en_US
dc.source.titleJournal of Physics: Condensed Matteren_US
dc.subjectTan’s contacten_US
dc.subjectSpin gapped quantum magnetsen_US
dc.subjectTriplonsen_US
dc.titleCritical behavior of Tan’s contact for bosonic systems with a fixed chemical potentialen_US
dc.typeArticleen_US

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