Theoretical and Natural Science
- The Open Access Proceedings Series for Conferences
Theoretical and Natural Science
Vol. 19, 08 December 2023
Open
Access | Article
Emergent phenomena in quantum phase transition
* Author to whom correspondence should be addressed.
Abstract
Emergent phenomena near the quantum critical point at sufficiently low temperature attracts accumulating attentions with respect to both theories and applications. On the contrary to materials with itinerant electrons, ferroelectric materials are relatively less studied but promising in studying novel quantum orders. In this report, we focus on one clean model system, strontium titanite oxide, to explore the quantum criticality. The stabilization of a quantum paraelectric phase has been verified by the previous experimental observation of the dielectric permittivity saturating at a rather high value to the order of 104 under 4 Kelvin. To understand the underlying mechanism, we apply the quantum generalization of Ginzburg-Landau theory as well as lattice dynamics, i.e., the stiffness of soft phonon mode to rationalize the deviation from the classical paraelectric to ferroelectric phase transitions. Besides, under the effective upper critical dimension, a logarithmic correction of the relationship between relative permittivity and temperature could explain the upturn found in diagram.
Keywords
quantum phase transition, ferroelectricity, strontium titanite, critical behaviours.
References
1. Zhang Z et al 2021 Phys. Rev. B 103 22
2. Andres J et al 2012 Photoluminescence: Applications, Types and Efficacy 119-61
3. Rowley S E et al 2014 Nat. Phys. 10 367
4. Spaldin N A 2007 Topics Appl. Phys. 105 175
5. Wang K 2021 Landau’s theory of phase transition Archived
6. Lyddane R H, Sachs R G and Teller E 1941 Phys. Rev. 59 673
7. Morice C, Chandra P, Rowley S E, Lonzarich G and Saxena S 2017 Phys. Rev. B 96 245104
8. Ahmed R et al 2021 Results Phys. 20 103623
9. Seki Y, Tanaka S and Kawabata S 2019 J. Phys. Soc. Jpn. 88 054006
10. Vojta M 2003 Rep. Prog. Phys. 66 2069
11. Sachdev S et al 2011 Phys. Today 64 29
12. Burdett J K 1981 Inorg. Chem. 20 1959
13. Zhong W and Vanderbilt D 1995 Phys. Rev. Lett. 74 2587
14. Yamada Y and Shirane G 1969 J. Phys. Soc. Jpn. 26 396-403
15. Cochran W 1959 Phys. Rev, Lett. 3 412
16. Hertz J A 1976 Phys. Rev. B 14 1165
17. Fendley P 2014 Modern Statistical Mechanics (Virginia: The University of Virginia)
18. Callen H 1991 Thermodynamics and an Introduction to Thermostatistics (NY: Wiley)
19. Khmel'nitskii D E and Shneerson V L 1972 J. Exp. Theor. Phys 37 164
20. Sachdev S 1999 Quantum Phase Transitions (Cambridge: Cambridge University Press)
21. Feder J and Pytte E 1970 Phys. Rev. B 1 4803
22. Kuzmanovski D et al 2022 Kapitza stabilization of a quantum critical order arXiv e-prints https://doi.org/10.48550/arXiv.2208.09491
23. Edge J M et al 2015 Phys. Rev. Lett. 115 247002
24. Kadanoff L P and Baym G 1962 Quantum Statistical Mechanics: Green’s Function Methods in Equilibrium and Nonequilibrium Problems (NY: CRC Press)
25. Taniguchi H, Itoh M and Yagi T 2007 Phys. Rev. Lett. 99 017602
26. Born M and Oppenheimer J R 1927 Annelen der Physik 389 457
27. Coak M J et al 2019 Phys. Rev. B 100 214111
28. Rowley S E et al 2011 Low Temp. Phys. 37 2–7
29. Chandra P, Lonzarich G G, Rowley S E and Scott J F 2017 Rep. Prog. Phys. 80 112502
30. Worlock J M and Fleury P A 1967 Phys. Rev. Lett. 19 1176
31. Pytte E and Feder J 1968 Phys. Rev. 168 640
Data Availability
The datasets used and/or analyzed during the current study will be available from the authors upon reasonable request.
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License. Authors who publish this series agree to the following terms:
1. Authors retain copyright and grant the series right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this series.
2. Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the series's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgment of its initial publication in this series.
3. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See Open Access Instruction).
- Volume Title
- Proceedings of the 2nd International Conference on Computing Innovation and Applied Physics
- ISBN (Print)
- 978-1-83558-203-9
- ISBN (Online)
- 978-1-83558-204-6
- Published Date
- 08 December 2023
- Series
- Theoretical and Natural Science
- ISSN (Print)
- 2753-8818
- ISSN (Online)
- 2753-8826
- DOI
- 10.54254/2753-8818/19/20230517
- Copyright
- 08 December 2023
- Open Access
- This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited