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Article: Phase diagram of the quantum Ising model on a triangular lattice under external field

TitlePhase diagram of the quantum Ising model on a triangular lattice under external field
Authors
Issue Date2021
PublisherAmerican Physical Society. The Journal's web site is located at http://journals.aps.org/prb/
Citation
Physical Review B: covering condensed matter and materials physics, 2021, v. 103 n. 10, article no. 104416 How to Cite?
AbstractQuantum Ising model on a triangular lattice hosts a finite temperature Berezinskii-Kosterlitz-Thouless (BKT) phase with emergent U(1) symmetry, and it will transit into an up-up-down (UUD) phase with C3 symmetry breaking upon an infinitesimal external field along the longitudinal direction, but the overall phase diagram spanned by the axes of external field and temperature remains opaque due to the lack of systematic investigations with controlled methodologies. By means of quantum Monte Carlo at finite temperature and ground state density matrix renormalization group simulations, we map out the phase diagram of triangular quantum Ising model. Starting from the upper BKT temperature at zero field, we obtain the phase boundary between the UUD and paramagnetic phases with its 2D q=3 Potts universality at weak field and weakly first order transition at strong field. Originated from the lower BKT temperature at zero field, we analyze the low temperature phase boundary between the clock phase and the UUD phase with Ising symmetry breaking at weak fields and the quantum phase transition between the UUD and fully polarized phases at strong fields. The accurate many-body numerical results are consistent with our field theoretical analysis. The experimental relevance towards the BKT magnet TmMgGaO4 and programmable quantum simulators are also discussed. © 2021 American Physical Society.
Persistent Identifierhttp://hdl.handle.net/10722/299158
ISSN
2023 Impact Factor: 3.2
2023 SCImago Journal Rankings: 1.345
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorDa Liao, Y-
dc.contributor.authorLi, H-
dc.contributor.authorYan, Z-
dc.contributor.authorWei, HT-
dc.contributor.authorLi, W-
dc.contributor.authorQi, Y-
dc.contributor.authorMeng, ZY-
dc.date.accessioned2021-04-28T02:26:57Z-
dc.date.available2021-04-28T02:26:57Z-
dc.date.issued2021-
dc.identifier.citationPhysical Review B: covering condensed matter and materials physics, 2021, v. 103 n. 10, article no. 104416-
dc.identifier.issn2469-9950-
dc.identifier.urihttp://hdl.handle.net/10722/299158-
dc.description.abstractQuantum Ising model on a triangular lattice hosts a finite temperature Berezinskii-Kosterlitz-Thouless (BKT) phase with emergent U(1) symmetry, and it will transit into an up-up-down (UUD) phase with C3 symmetry breaking upon an infinitesimal external field along the longitudinal direction, but the overall phase diagram spanned by the axes of external field and temperature remains opaque due to the lack of systematic investigations with controlled methodologies. By means of quantum Monte Carlo at finite temperature and ground state density matrix renormalization group simulations, we map out the phase diagram of triangular quantum Ising model. Starting from the upper BKT temperature at zero field, we obtain the phase boundary between the UUD and paramagnetic phases with its 2D q=3 Potts universality at weak field and weakly first order transition at strong field. Originated from the lower BKT temperature at zero field, we analyze the low temperature phase boundary between the clock phase and the UUD phase with Ising symmetry breaking at weak fields and the quantum phase transition between the UUD and fully polarized phases at strong fields. The accurate many-body numerical results are consistent with our field theoretical analysis. The experimental relevance towards the BKT magnet TmMgGaO4 and programmable quantum simulators are also discussed. © 2021 American Physical Society.-
dc.languageeng-
dc.publisherAmerican Physical Society. The Journal's web site is located at http://journals.aps.org/prb/-
dc.relation.ispartofPhysical Review B: covering condensed matter and materials physics-
dc.rightsCopyright [2021] by The American Physical Society. This article is available online at [http://dx.doi.org/10.1103/PhysRevB.103.104416].-
dc.titlePhase diagram of the quantum Ising model on a triangular lattice under external field-
dc.typeArticle-
dc.identifier.emailYan, Z: zhengyan@hku.hk-
dc.identifier.emailMeng, ZY: zymeng@hku.hk-
dc.identifier.authorityMeng, ZY=rp02524-
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.1103/PhysRevB.103.104416-
dc.identifier.scopuseid_2-s2.0-85102856843-
dc.identifier.hkuros322203-
dc.identifier.volume103-
dc.identifier.issue10-
dc.identifier.spagearticle no. 104416-
dc.identifier.epagearticle no. 104416-
dc.identifier.isiWOS:000627552500003-
dc.publisher.placeUnited States-

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