2022 Fiscal Year Annual Research Report
Novel Quantum States in Topological Kondo insulators
| Project/Area Number |
18K03511
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| Research Institution | Kyoto University |
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Principal Investigator |
Peters Robert 京都大学, 理学研究科, 講師 (80734293)
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| Project Period (FY) |
2018-04-01 – 2023-03-31
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| Keywords | Kondo insulator / strong correlations / conductivity |
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| Outline of Annual Research Achievements |
We finished our research on energetically low-lying excitation in one-dimensional Kondo insulators and the charge and thermal conductivity of these systems.
Using variational matrix product states, we analyze the finite temperature behavior of a half-filled periodic Anderson model in one dimension, a prototypical model of a Kondo insulator. We confirmed the existence of energetically low-lying spin excitations in this model and studied their energy-momentum dispersion and temperature dependence. We demonstrated that charge-charge correlations at the Fermi energy exhibit a different temperature dependence than spin-spin correlations. While energetically low-lying spin excitations emerge approximately at the Kondo temperature, charge correlations vanish already at high temperatures. Furthermore, we analyze the charge and thermal conductivity at finite temperatures by calculating the time-dependent current-current correlation functions. While both charge and thermal conductivity can be fitted for all interaction strengths by gapped systems with a renormalized band gap, the gap in the system describing the thermal conductivity is generally smaller than the system describing the charge conductivity. Thus, two-particle correlations affect the charge and heat conductivities in a different way resulting in a temperature region where the charge conductivity of this one-dimensional Kondo insulator is already decreasing while the heat conductivity is still increasing. These results have been accepted for publication in SciPost Physics.
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