Evolution of Quantum Fluctuations Near the Quantum Critical Point of the Transverse Field Ising Chain System CoNb_{2}O_{6}
The transverse field Ising chain model is ideally suited for testing the fundamental ideas of quantum phase transitions because its well-known T=0 ground state can be extrapolated to finite temperatures. Nonetheless, the lack of appropriate model materials hindered the past effort to test the theore...
| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2014-07-01
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| Series: | Physical Review X |
| Online Access: | http://doi.org/10.1103/PhysRevX.4.031008 |
| _version_ | 1819032593796956160 |
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| author | A. W. Kinross M. Fu T. J. Munsie H. A. Dabkowska G. M. Luke Subir Sachdev T. Imai |
| author_facet | A. W. Kinross M. Fu T. J. Munsie H. A. Dabkowska G. M. Luke Subir Sachdev T. Imai |
| author_sort | A. W. Kinross |
| collection | DOAJ |
| description | The transverse field Ising chain model is ideally suited for testing the fundamental ideas of quantum phase transitions because its well-known T=0 ground state can be extrapolated to finite temperatures. Nonetheless, the lack of appropriate model materials hindered the past effort to test the theoretical predictions. Here, we map the evolution of quantum fluctuations in the transverse field Ising chain based on nuclear magnetic resonance measurements of CoNb_{2}O_{6}, and we demonstrate the finite-temperature effects on quantum criticality for the first time. From the temperature dependence of the ^{93}Nb longitudinal relaxation rate 1/T_{1}, we identify the renormalized classical, quantum critical, and quantum disordered scaling regimes in the temperature (T) vs transverse magnetic field (h_{⊥}) phase diagram. Precisely at the critical field h_{⊥}^{c}=5.25±0.15 T, we observe a power-law behavior, 1/T_{1}∼T^{−3/4}, as predicted by quantum critical scaling. Our parameter-free comparison between the data and theory reveals that quantum fluctuations persist up to as high as T∼0.4J, where the intrachain exchange interaction J is the only energy scale of the problem. |
| first_indexed | 2024-12-21T07:04:25Z |
| format | Article |
| id | doaj.art-4bc2647da35b450abd8e37d11ab86aca |
| institution | Directory Open Access Journal |
| issn | 2160-3308 |
| language | English |
| last_indexed | 2024-12-21T07:04:25Z |
| publishDate | 2014-07-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review X |
| spelling | doaj.art-4bc2647da35b450abd8e37d11ab86aca2022-12-21T19:12:09ZengAmerican Physical SocietyPhysical Review X2160-33082014-07-014303100810.1103/PhysRevX.4.031008Evolution of Quantum Fluctuations Near the Quantum Critical Point of the Transverse Field Ising Chain System CoNb_{2}O_{6}A. W. KinrossM. FuT. J. MunsieH. A. DabkowskaG. M. LukeSubir SachdevT. ImaiThe transverse field Ising chain model is ideally suited for testing the fundamental ideas of quantum phase transitions because its well-known T=0 ground state can be extrapolated to finite temperatures. Nonetheless, the lack of appropriate model materials hindered the past effort to test the theoretical predictions. Here, we map the evolution of quantum fluctuations in the transverse field Ising chain based on nuclear magnetic resonance measurements of CoNb_{2}O_{6}, and we demonstrate the finite-temperature effects on quantum criticality for the first time. From the temperature dependence of the ^{93}Nb longitudinal relaxation rate 1/T_{1}, we identify the renormalized classical, quantum critical, and quantum disordered scaling regimes in the temperature (T) vs transverse magnetic field (h_{⊥}) phase diagram. Precisely at the critical field h_{⊥}^{c}=5.25±0.15 T, we observe a power-law behavior, 1/T_{1}∼T^{−3/4}, as predicted by quantum critical scaling. Our parameter-free comparison between the data and theory reveals that quantum fluctuations persist up to as high as T∼0.4J, where the intrachain exchange interaction J is the only energy scale of the problem.http://doi.org/10.1103/PhysRevX.4.031008 |
| spellingShingle | A. W. Kinross M. Fu T. J. Munsie H. A. Dabkowska G. M. Luke Subir Sachdev T. Imai Evolution of Quantum Fluctuations Near the Quantum Critical Point of the Transverse Field Ising Chain System CoNb_{2}O_{6} Physical Review X |
| title | Evolution of Quantum Fluctuations Near the Quantum Critical Point of the Transverse Field Ising Chain System CoNb_{2}O_{6} |
| title_full | Evolution of Quantum Fluctuations Near the Quantum Critical Point of the Transverse Field Ising Chain System CoNb_{2}O_{6} |
| title_fullStr | Evolution of Quantum Fluctuations Near the Quantum Critical Point of the Transverse Field Ising Chain System CoNb_{2}O_{6} |
| title_full_unstemmed | Evolution of Quantum Fluctuations Near the Quantum Critical Point of the Transverse Field Ising Chain System CoNb_{2}O_{6} |
| title_short | Evolution of Quantum Fluctuations Near the Quantum Critical Point of the Transverse Field Ising Chain System CoNb_{2}O_{6} |
| title_sort | evolution of quantum fluctuations near the quantum critical point of the transverse field ising chain system conb 2 o 6 |
| url | http://doi.org/10.1103/PhysRevX.4.031008 |
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