Lifshitz transition in triangular lattice Kondo-Heisenberg model

doi:10.1088/1674-1056/ab8da4

中国物理B ›› 2020, Vol. 29 ›› Issue (7): 77102-077102.doi: 10.1088/1674-1056/ab8da4

• CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES • 上一篇下一篇

Lifshitz transition in triangular lattice Kondo-Heisenberg model

Lan Zhang(张欄), Yin Zhong(钟寅), Hong-Gang Luo(罗洪刚)

1 School of Physical Science and Technology & Key Laboratory for Magnetism and Magnetic Materials of Ministry of Education, Lanzhou University, Lanzhou 730000, China;
2 Beijing Computational Science Research Center, Beijing 100084, China

收稿日期:2020-03-03 修回日期:2020-04-23 出版日期:2020-07-05 发布日期:2020-07-05
通讯作者: Yin Zhong E-mail:zhongy@lzu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11674139, 11704166, and 11834005), the Fundamental Research Funds for the Central Universities, China, and PCSIRT, China (Grant No. IRT-16R35).

Lifshitz transition in triangular lattice Kondo-Heisenberg model

Lan Zhang(张欄)¹, Yin Zhong(钟寅)¹, Hong-Gang Luo(罗洪刚)^1,2

1 School of Physical Science and Technology & Key Laboratory for Magnetism and Magnetic Materials of Ministry of Education, Lanzhou University, Lanzhou 730000, China;
2 Beijing Computational Science Research Center, Beijing 100084, China

Received:2020-03-03 Revised:2020-04-23 Online:2020-07-05 Published:2020-07-05
Contact: Yin Zhong E-mail:zhongy@lzu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11674139, 11704166, and 11834005), the Fundamental Research Funds for the Central Universities, China, and PCSIRT, China (Grant No. IRT-16R35).

摘要/Abstract

摘要： Motivated by recent experimental progress on triangular lattice heavy-fermion compounds, we investigate possible Lifshitz transitions and the scanning tunnel microscope (STM) spectra of the Kondo-Heisenberg model on the triangular lattice. In the heavy Fermi liquid state, the introduced Heisenberg antiferromagnetic interaction (J_H) results in the twice Lifshitz transition at the case of the nearest-neighbour electron hopping but with next-nearest-neighbour hole hopping and the case of the nearest-neighbour hole hopping but with next-nearest-neighbour electron hopping, respectively. Driven by J_H, the Lifshitz transitions on triangular lattice are all continuous in contrast to the case on square lattice. Furthermore, the STM spectra shows rich line-shape which is influenced by the Kondo coupling J_K, the Heisenberg antiferromagnetic interaction J_H, and the ratio of the tunneling amplitude of f-electron t_f versus conduction electron t_c. Our work provides a possible scenario to understand the Fermi surface topology and the quantum critical point in heavy-fermion compounds.

关键词: Kondo-Heisenberg model, Lifshitz transition, heavy-fermion systems

Abstract: Motivated by recent experimental progress on triangular lattice heavy-fermion compounds, we investigate possible Lifshitz transitions and the scanning tunnel microscope (STM) spectra of the Kondo-Heisenberg model on the triangular lattice. In the heavy Fermi liquid state, the introduced Heisenberg antiferromagnetic interaction (J_H) results in the twice Lifshitz transition at the case of the nearest-neighbour electron hopping but with next-nearest-neighbour hole hopping and the case of the nearest-neighbour hole hopping but with next-nearest-neighbour electron hopping, respectively. Driven by J_H, the Lifshitz transitions on triangular lattice are all continuous in contrast to the case on square lattice. Furthermore, the STM spectra shows rich line-shape which is influenced by the Kondo coupling J_K, the Heisenberg antiferromagnetic interaction J_H, and the ratio of the tunneling amplitude of f-electron t_f versus conduction electron t_c. Our work provides a possible scenario to understand the Fermi surface topology and the quantum critical point in heavy-fermion compounds.

Key words: Kondo-Heisenberg model, Lifshitz transition, heavy-fermion systems

中图分类号: (Strongly correlated electron systems; heavy fermions)

71.27.+a

71.18.+y (Fermi surface: calculations and measurements; effective mass, g factor)

张欄, 钟寅, 罗洪刚. Lifshitz transition in triangular lattice Kondo-Heisenberg model[J]. 中国物理B, 2020, 29(7): 77102-077102.

Lan Zhang(张欄), Yin Zhong(钟寅), Hong-Gang Luo(罗洪刚). Lifshitz transition in triangular lattice Kondo-Heisenberg model[J]. Chin. Phys. B, 2020, 29(7): 77102-077102.

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Lifshitz transition in triangular lattice Kondo-Heisenberg model

Lifshitz transition in triangular lattice Kondo-Heisenberg model

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