Quantum critical dynamics in the two-dimensional transverse Ising model
In the vicinity of the quantum critical point (QCP), thermodynamic properties diverge toward zero temperature governed by universal exponents. Although this fact is well known, how it is reflected in quantum dynamics has not been addressed. The QCP of the transverse Ising model on a triangular latti...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2023-03-01
|
| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.5.013186 |
| _version_ | 1797210535497826304 |
|---|---|
| author | Chisa Hotta Tempei Yoshida Kenji Harada |
| author_facet | Chisa Hotta Tempei Yoshida Kenji Harada |
| author_sort | Chisa Hotta |
| collection | DOAJ |
| description | In the vicinity of the quantum critical point (QCP), thermodynamic properties diverge toward zero temperature governed by universal exponents. Although this fact is well known, how it is reflected in quantum dynamics has not been addressed. The QCP of the transverse Ising model on a triangular lattice is an ideal platform to test the issue, since it has an experimental realization, the dielectrics being realized in an organic dimer Mott insulator, κ-ET_{2}X, where a quantum electric dipole represents the Ising degrees of freedom. We track the Glauber-type dynamics of the model by constructing a kinetic protocol based on the quantum Monte Carlo method. The dynamical susceptibility takes the form of the Debye function and shows a significant peak narrowing in approaching a QCP due to the divergence of the relaxation timescale. It explains the anomaly of dielectric constants observed in the organic materials, indicating that the material is very near the ferroelectric QCP. We disclose how the dynamical and other critical exponents develop near QCP beyond the simple field theory. |
| first_indexed | 2024-04-24T10:12:08Z |
| format | Article |
| id | doaj.art-bf0dc3cf27754a8897c1587e025f56c1 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:12:08Z |
| publishDate | 2023-03-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-bf0dc3cf27754a8897c1587e025f56c12024-04-12T17:29:20ZengAmerican Physical SocietyPhysical Review Research2643-15642023-03-015101318610.1103/PhysRevResearch.5.013186Quantum critical dynamics in the two-dimensional transverse Ising modelChisa HottaTempei YoshidaKenji HaradaIn the vicinity of the quantum critical point (QCP), thermodynamic properties diverge toward zero temperature governed by universal exponents. Although this fact is well known, how it is reflected in quantum dynamics has not been addressed. The QCP of the transverse Ising model on a triangular lattice is an ideal platform to test the issue, since it has an experimental realization, the dielectrics being realized in an organic dimer Mott insulator, κ-ET_{2}X, where a quantum electric dipole represents the Ising degrees of freedom. We track the Glauber-type dynamics of the model by constructing a kinetic protocol based on the quantum Monte Carlo method. The dynamical susceptibility takes the form of the Debye function and shows a significant peak narrowing in approaching a QCP due to the divergence of the relaxation timescale. It explains the anomaly of dielectric constants observed in the organic materials, indicating that the material is very near the ferroelectric QCP. We disclose how the dynamical and other critical exponents develop near QCP beyond the simple field theory.http://doi.org/10.1103/PhysRevResearch.5.013186 |
| spellingShingle | Chisa Hotta Tempei Yoshida Kenji Harada Quantum critical dynamics in the two-dimensional transverse Ising model Physical Review Research |
| title | Quantum critical dynamics in the two-dimensional transverse Ising model |
| title_full | Quantum critical dynamics in the two-dimensional transverse Ising model |
| title_fullStr | Quantum critical dynamics in the two-dimensional transverse Ising model |
| title_full_unstemmed | Quantum critical dynamics in the two-dimensional transverse Ising model |
| title_short | Quantum critical dynamics in the two-dimensional transverse Ising model |
| title_sort | quantum critical dynamics in the two dimensional transverse ising model |
| url | http://doi.org/10.1103/PhysRevResearch.5.013186 |
| work_keys_str_mv | AT chisahotta quantumcriticaldynamicsinthetwodimensionaltransverseisingmodel AT tempeiyoshida quantumcriticaldynamicsinthetwodimensionaltransverseisingmodel AT kenjiharada quantumcriticaldynamicsinthetwodimensionaltransverseisingmodel |