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Chin. Phys. B, 2021, Vol. 30(4): 047106    DOI: 10.1088/1674-1056/abefcb

Resistivity minimum emerges in Anderson impurity model modified with Sachdev-Ye-Kitaev interaction

Lan Zhang(张欄)1, Yin Zhong(钟寅)1,†, and Hong-Gang Luo(罗洪刚)1,2,‡
1 School of Physical Science and Technology & Key Laboratory for Magnetism and Magnetic Materials of the Ministry of Education, Lanzhou University, Lanzhou 730000, China;  2 Beijing Computational Science Research Center, Beijing 100084, China
Abstract  We investigate a modified Anderson model at the large-N limit, where the Coulomb interaction is replaced by the Sachdev-Ye-Kitaev random interaction. The resistivity of conduction electron ρ c has a minimum value around temperature $T^\star$, which is similar to the Kondo system, but the impurity electron's density of state A d(ω) demonstrates no sharp-peak like the Kondo resonance around the Fermi surface. This provides a counterintuitive example where resistivity minimum exists without Kondo resonance. The impurity electron's entropy S d and specific heat capacity $C_v$ show a crossover from Fermi liquid to a non-Fermi liquid behavior dependent on temperature. The system is a Fermi liquid at $T<T^\star$ and becomes a non-Fermi liquid at $T>T^\star$, and then becomes a Fermi gas at sufficiently high temperatures $T\gg T^\star$. The non-Fermi liquid at the intermediate-T regime does not occur in the standard Anderson model. We also make a renormalization group analysis, which confirms the crossover from Fermi liquid to the non-Fermi behavior. It is emphasized that the resistivity minimum emerges in our model when the system behaves as a non-Fermi liquid rather than Fermi liquid, which provides an alternative example showing resistivity minimum in condensed matter physics.
Keywords:  Anderson model      Sachdev-Ye-Kitaev interaction      non-Fermi liquid  
Received:  09 October 2020      Revised:  20 January 2021      Accepted manuscript online:  18 March 2021
PACS:  71.27.+a (Strongly correlated electron systems; heavy fermions)  
  71.10.-w (Theories and models of many-electron systems)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11674139, 11704166, and 11834005) and the Fundamental Research Funds for the Central Universities, China, and PCSIRT (Grant No. IRT-16R35).
Corresponding Authors:  Corresponding author. E-mail: Corresponding author. E-mail:   

Cite this article: 

Lan Zhang(张欄), Yin Zhong(钟寅), and Hong-Gang Luo(罗洪刚) Resistivity minimum emerges in Anderson impurity model modified with Sachdev-Ye-Kitaev interaction 2021 Chin. Phys. B 30 047106

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