Local dynamics and thermal activation in the transverse-field Ising chain

Jiahao Yang, Weishi Yuan, Takashi Imai, Qimiao Si, Jianda Wu, and Márton Kormos

Phys. Rev. B 106, 125149 – Published 29 September 2022

Abstract

There has been considerable recent progress in identifying candidate materials for the transverse-field Ising chain (TFIC), a paradigmatic model for quantum criticality. Here, we study the local spin dynamical structure factor of different spin components in the quantum disordered region of the TFIC. We show that the low-frequency local dynamics of the spins in the Ising- and transverse-field directions have strikingly distinctive temperature dependencies. This leads to the thermal-activation gap for the secular term of the nuclear magnetic resonance $1 / T_{2}^{'}$ relaxation rate to be half of that for the $1 / T_{1}$ relaxation rate. Our findings reveal a surprise in the nonzero-temperature dynamics of the venerable TFIC model and uncover a means to evince the material realization of the TFIC universality.

Received 11 December 2021
Revised 12 September 2022
Accepted 20 September 2022

DOI:https://doi.org/10.1103/PhysRevB.106.125149

Physics Subject Headings (PhySH)

Magnetic phase transitions Quantum criticality Quasiparticles & collective excitations Spin dynamics Thermal properties

1-dimensional spin chains

Muon spin relaxation & rotation Nuclear magnetic resonance Quantum spin chains

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Jiahao Yang ¹, Weishi Yuan ², Takashi Imai ², Qimiao Si^3,*, Jianda Wu ^1,4,†, and Márton Kormos ^5,6,‡

¹Tsung-Dao Lee Institute, Shanghai Jiao Tong University, Shanghai 201210, China
²Department of Physics and Astronomy, McMaster University, Hamilton, Ontario, Canada L8S 4M1
³Department of Physics & Astronomy, Rice University, Houston, Texas 77005, USA
⁴School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China
⁵Department of Theoretical Physics, Budapest University of Technology and Economics, 1111 Budapest, Hungary
⁶MTA-BME Quantum Dynamics and Correlations Research Group (ELKH), BME-MTA Statistical Field Theory ‘Lendület’ Research Group, Institute of Physics, Budapest University of Technology and Economics, 1111 Budapest, Hungary

^*qmsi@rice.edu
^†wujd@sjtu.edu.cn
^‡kormosmarton@gmail.com

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Issue

Vol. 106, Iss. 12 — 15 September 2022

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