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Quantum criticality in the anisotropic spin-chain antiferromagnet
Phys. Rev. B 110, 235116 – Published 5 December, 2024
DOI: https://doi.org/10.1103/PhysRevB.110.235116
Abstract
The quantum criticality of an XXZ-type spin chain antiferromagnet , subjected to an external magnetic field, was investigated through ultralow-temperature specific heat, magnetocaloric effect, and magnetic susceptibility measurements. In the absence of an external magnetic field, the system undergoes an antiferromagnetic phase transition at . The application of an external field gradually suppresses the antiferromagnetic order. Furthermore, an additional phase emerges in the intermediate field range when the zero-field antiferromagnetic order is suppressed, resulting in a quantum critical point at . Near this field-induced quantum critical point, universal scaling behaviors are observed, characterized by the universality class parameters , and .
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References (39)
- Y. Jompol, C. J. B. Ford, J. P. Griffiths, I. Farrer, G. A. C. Jones, D. Anderson, D. A. Ritchie, T. W. Silk, and A. J. Schofield, Probing spin-charge separation in a Tomonaga-Luttinger liquid, Science 325, 597 (2009).
- R. Neudert, M. Knupfer, M. S. Golden, J. Fink, W. Stephan, K. Penc, N. Motoyama, H. Eisaki, and S. Uchida, Manifestation of spin-charge separation in the dynamic dielectric response of one-dimensional , Phys. Rev. Lett. 81, 657 (1998).
- A. K. Bera, B. Lake, F. H. L. Essler, L. Vanderstraeten, C. Hubig, U. Schollwöck, A. T. M. N. Islam, A. Schneidewind, and D. L. Quintero-Castro, Spinon confinement in a quasi-one-dimensional anisotropic Heisenberg magnet, Phys. Rev. B 96, 054423 (2017).
- K.-V. Pham, M. Gabay, and P. Lederer, Fractional excitations in the Luttinger liquid, Phys. Rev. B 61, 16397 (2000).
- S. Sachdev, Quantum phase transitions, Phys. World 12, 33 (1999).
- Y. Kono, T. Sakakibara, C. P. Aoyama, C. Hotta, M. M. Turnbull, C. P. Landee, and Y. Takano, Field-induced quantum criticality and universal temperature dependence of the magnetization of a spin-1/2 Heisenberg chain, Phys. Rev. Lett. 114, 037202 (2015).
- F. Franchini, Introduction to Integrable Techniques for One-Dimensional Quantum Systems (Springer, New York, 2017), Vol. 940.
- H. Bethe, Zur Theorie der Metalle, Z. Phys. 71, 205 (1931).
- U. Schollwöck, The density-matrix renormalization group, Rev. Mod. Phys. 77, 259 (2005).
- B. Lake, D. A. Tennant, and S. E. Nagler, Novel longitudinal mode in the coupled quantum chain compound , Phys. Rev. Lett. 85, 832 (2000).
- B. Lake, D. A. Tennant, and S. E. Nagler, Longitudinal magnetic dynamics and dimensional crossover in the quasi-one-dimensional spin-1/2 Heisenberg antiferromagnet , Phys. Rev. B 71, 134412 (2005).
- D. A. Tennant, R. A. Cowley, S. E. Nagler, and A. M. Tsvelik, Measurement of the spin-excitation continuum in one-dimensional using neutron scattering, Phys. Rev. B 52, 13368 (1995).
- N. Motoyama, H. Eisaki, and S. Uchida, Magnetic susceptibility of ideal spin 1/2 Heisenberg antiferromagnetic chain systems, and , Phys. Rev. Lett. 76, 3212 (1996).
- J. Schlappa, K. Wohlfeld, K. J. Zhou, M. Mourigal, M. W. Haverkort, V. N. Strocov, L. Hozoi, C. Monney, S. Nishimoto, S. Singh et al., Spin–orbital separation in the quasi-one-dimensional Mott insulator , Nature (London) 485, 82 (2012).
- J. Schlappa, U. Kumar, K. J. Zhou, S. Singh, M. Mourigal, V. N. Strocov, A. Revcolevschi, L. Patthey, H. M. Rønnow, S. Johnston et al., Probing multi-spinon excitations outside of the two-spinon continuum in the antiferromagnetic spin chain cuprate , Nat. Commun. 9, 5394 (2018).
- Y. Matsuoka, T. Kawamata, K. Naruse, M. Ohno, Y. Nishiwaki, T. Kato, T. Sasaki, and Y. Koike, Observation of the thermal conductivity due to spins in the one-dimensional antiferromagnetic Ising-like spin system (A = Rb, Cs; X = Cl, Br), J. Phys. Soc. Jpn. 83, 064603 (2014).
- M. Mekata and K. Adachi, Magnetic structure of , J. Phys. Soc. Jpn. 44, 806 (1978).
- S. E. Nagler, W. J. L. Buyers, R. L. Armstrong, and B. Briat, Ising-like spin- quasi-one-dimensional antiferromagnets: Spin-wave response in Salts, Phys. Rev. B 27, 1784 (1983).
- H. B. Weber, T. Werner, J. Wosnitza, H. V. Löhneysen, and U. Schotte, Magnetic phases of : Anomalous critical behavior, Phys. Rev. B 54, 15924 (1996).
- Y. Cui, H. Zou, N. Xi, Z. He, Y. X. Yang, L. Shu, G. H. Zhang, Z. Hu, T. Chen, R. Yu, J. Wu, and W. Yu, Quantum criticality of the Ising-like screw chain antiferromagnet in a transverse magnetic field, Phys. Rev. Lett. 123, 067203 (2019).
- Z. Wang, M. Schmidt, A. K. Bera, A. T. M. N. Islam, B. Lake, A. Loidl, and J. Deisenhofer, Spinon confinement in the one-dimensional Ising-like antiferromagnet , Phys. Rev. B 91, 140404(R) (2015).
- B. Grenier, S. Petit, V. Simonet, E. Canévet, L.-P. Regnault, S. Raymond, B. Canals, C. Berthier, and P. Lejay, Longitudinal and transverse Zeeman ladders in the Ising-like chain antiferromagnet , Phys. Rev. Lett. 114, 017201 (2015).
- Z. Wang, J. Wu, W. Yang, A. K. Bera, D. Kamenskyi, A. T. M. N. Islam, S. Xu, J. M. Law, B. Lake, C. Wu et al., Experimental observation of Bethe strings, Nature (London) 554, 219 (2018).
- A. K. Bera, J. Wu, W. Yang, R. Bewley, M. Boehm, J. Xu, M. Bartkowiak, O. Prokhnenko, B. Klemke, A. T. M. N. Islam et al., Dispersions of many-body Bethe strings, Nat. Phys. 16, 625 (2020).
- M. Gaudin, Thermodynamics of the Heisenberg-Ising ring for 1, Phys. Rev. Lett. 26, 1301 (1971).
- J. Q. Xu, H. P. Xiang, S. Y. Zhang, Y. Y. Tang, W. B. Guo, L. Wang, and Z. Z. He, Synthesis, structure, and magnetic properties of a new cobalt selenite , Chin. J. Struct. Chem. 35, 1562 (2016).
- Magnetometry by means of Hall micro-probes in the Quantum Design PPMS, Quantum Design Application Note, 1084-701.
- A. Cavallini, Deep levels in MBE grown heterostructures, Microelectron. Eng. 73-74, 954 (2004).
- A. Candini, G. C. Gazzadi, A. di Bona, M. Affronte, D. Ercolani, G. Biasiol, and L. Sorba, Hall nano-probes fabricated by focused ion beam, Nanotechnology 17, 2105 (2006).
- J. C. Bonner and M. E. Fisher, Linear magnetic chains with anisotropic coupling, Phys. Rev. 135, A640 (1964).
- J. M. Law, H. Benner, and R. K. Kremer, Padé approximations for the magnetic susceptibilities of Heisenberg antiferromagnetic spin chains for various spin values, J. Phys.: Condens. Matter 25, 065601 (2013).
- L. S. Wu, S. E. Nikitin, Z. Wang, W. Zhu, C. D. Batista, A. M. Tsvelik, A. M. Samarakoon, D. A. Tennant, M. Brando, L. Vasylechko et al., Tomonaga-Luttinger liquid behavior and spinon confinement in , Nat. Commun. 10, 698 (2019).
- N. Zhao, J. Sheng, J. Wang, H. Ge, T. Li, J. Yang, S. Wang, P. Miao, H. He, X. Tong, W. Bao, E.-J. Guo, R. Mole, D. Yu, A. A. Podlesnyak, and L. Wu, Quasi-one-dimensional Ising-like antiferromagnetism in the rare-earth perovskite oxide , Phys. Rev. Mater. 7, 034401 (2023).
- A. Smith, Who discovered the magnetocaloric effect? European Phys. J. H 38, 507 (2013).
- E. Grüneisen, Theorie des festen Zustandes einatomiger Elemente, Ann. Phys. (Leipzig) 344, 257 (1912).
- L. Zhu, M. Garst, A. Rosch, and Q. Si, Universally diverging Grüneisen parameter and the magnetocaloric effect close to quantum critical points, Phys. Rev. Lett. 91, 066404 (2003).
- B. Wolf, Y. Tsui, D. Jaiswal-Nagar, U. Tutsch, A. Honecker, K. Remović-Langer, G. Hofmann, A. Prokofiev, W. Assmus, G. Donath et al., Magnetocaloric effect and magnetic cooling near a field-induced quantum-critical point, Proc. Natl. Acad. Sci. USA 108, 6862 (2011).
- L. S. Wu, M. S. Kim, K. Park, A. M. Tsvelik, and M. C. Aronson, Quantum critical fluctuations in layered , Proc. Natl. Acad. Sci. USA 111, 14088 (2014).
- J. Sheng, L. Wang, A. Candini, W. Jiang, L. Huang, B. Xi, J. Zhao, H. Ge, N. Zhao, Y. Fu et al., Two-dimensional quantum universality in the spin-1/2 triangular-lattice quantum antiferromagnet , Proc. Natl. Acad. Sci. USA 119, e2211193119 (2022).