Quantum impurity in topological multi-Weyl semimetals

Lü, Haifeng; Deng, Ying-Hua; Ke, Sha-Sha; Guo, Yong; Zhang, Huaiwu

doi:10.1103/physrevb.99.115109

Cited by 25 publications

(18 citation statements)

References 69 publications

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“…In fact, WSMs are described by Dirac Hamiltonians, exhibiting either broken TRS or broken IS, or both. Known as quasi-particles, these systems exhibits this emergent behavior due to weak interactions that stimulates its appearance (WENG et al, 2015;YANG et al, 2017;XU et al, 2015a;LV et al, 2015;LÜ et al, 2019).…”

Section: Motivationmentioning

confidence: 99%

“…The 2-Weyl semimetals were found in HgCr 2 Se 4 (XU et al, 2011;FANG et al, 2012) and SrSi 2 (HUANG et al, 2016) crystals and 3-Weyl semimetals were predicted in A(M oX) 3 (with A = Rb, T I and X = T e) (LIU; ZUNGER, 2017). Theoretical studies are also being conducted in the direction of multi-Weyl (EZAWA, 2017;LIU;ZHANG, 2019;LÜ et al, 2019). In order to contribute to Kondo physics in multi-Dirac and multi-Weyl systems and different regimes.…”

Section: Weyl Systemsmentioning

confidence: 99%

“…The charge of a solved system is called the winding number and is represented by J and when the this number is two we have a 2-multi-Dirac/Weyl case and if it is three, the system is named 3-multy-Dirac/Weyl one, and so on. Since this topological property is related to the defects on the structure of the material, quite often because of its boundary conditions, we have spatial limitations on its dimensions, so we are going to stick to a 3-dimensional winding number (LÜ et al, 2019;FANG et al, 2012).…”

Section: Multi-weyl Semimetalsmentioning

confidence: 99%

“…It has been found in Ref (LÜ et al, 2019). that the host density of states behaves as ρ host (ω) ∼ |(ω + µ) 2 + Q 2 0 for J = 1 and and ρ host (ω)∼ |ω + µ + Q 0 | 2/J + |ω + µ − Q 0 | 2/J for J = 2, 3.…”

mentioning

confidence: 92%

“…More recently, the Kondo effect has also been investigated in topological materials such as Dirac and Weyl semimetals in which metallic or pseudo-gap screening regimes have been found (PRINCIPI;VIGNALE;ROSSI, 2015) In this work we revisit the problem of Kondo screening regimes in the Dirac and Weyl systems (MITCHELL;FRITZ, 2015b), with special attention to the MWSMs, on which a detailed investigation of the Kondo effect is still lacking. We adopt a generic model capable of describing multi-Dirac semimetals (MDSMs) as well MWSMs (LÜ et al, 2019) and employ a numerical renormalization group (NRG) approach (HEWSON, 1993;COSTI;PRUSCHKE, 2008) to access the Kondo physics of the system in a systematic manner. Our numerical results show that the Kondo regimes of all MDSM lie on some class of pseudo-gap Kondo effect, in which Kondo screening is possible only at the particle-hole asymmetric situation.…”

Section: Introductionmentioning

confidence: 99%

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Kondo effect in multi-dirac and weyl fermions

Pedrosa¹

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First of all, I would like to thank Capes for the scholarship you trusted me with. Without it, it would be impossible for me to accomplish this work, no doubt about it. I also would like to thank the opportunity Professor Edson Vernek gave me to work beside him, learning how to be a good researcher, learning the state of art of articles and figures in python. I know we talked about aesthetics a lot. You won, I am convinced that beautiful figures and an organized text is an important step to be a good researcher. Not only for that but all your teachings, that extends beyond supervisor-student relation, I am sincerely grateful.My sincere acknowledgments to a great friend, Dr. Joelson Fernandes, one of the biggest minds I have the privilege to know. I am sure that this work is concluded thanks to his contribution as well. My gratitude for your effort to teach me the Kondo effect and propagators. The valuable lessons I will take with me from our conversations is not about physics only, it is about ethics, morality and the faith in an entity that mysteriously allow you to be a great father and husband, and also a great friend. I also would like to thank my dear fraternity brothers that are always there for me, creating and discussing nonsense ideas, living together as a family allowing a healthy environment that was crucial for me to write this work. The Saturday afternoon barbecues will be always remembered with a smile in my face.I would also like to thank my family members, my parents and my two younger brothers. They are always so happy to see me accomplish my goals and cheering for me, motivating me to carry on, no matter how hard life is. It is good to know you have a place to rest your head, a place where you are welcome at any time. I know I can count on each of you guys, thank you very much, I love you all.

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Section: Motivationmentioning

confidence: 99%

Section: Weyl Systemsmentioning

confidence: 99%

Section: Multi-weyl Semimetalsmentioning

confidence: 99%

mentioning

confidence: 92%

Section: Introductionmentioning

confidence: 99%

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Kondo effect in multi-dirac and weyl fermions

Pedrosa¹

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Quantum Tunneling in the $$\alpha -T_3$$ Model with an Effective Mass Term

et al. 2020

J Low Temp Phys

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Anomalous Hall transport in tilted multi-Weyl semimetals

Menon

Basu

2020

J. Phys.: Condens. Matter

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We study the effect of a perpendicular magnetic field B on a multinode Weyl semimetal (mWSM) of arbitrary integer monopole charge n, with the two Weyl multinodes separated in k-space. Besides type-I mWSMs, there exist type-II mWSMs which are characterized by the tilted minimal dispersion for low-energy excitations; the Weyl points in type-II mWSMs are still protected crossings but appear at the contact of the electron and hole pockets, after the Lifshitz transition. We find that the presence of a perpendicular magnetic field quantizes the occupation pockets due to the presence of Fermi tubes. In this theory, the Hilbert space is spanned by a set of n chiral degenerate ground states, and a countably infinite number of particle-hole symmetric Landau levels (LLs). We calculate the Hall conductivity for the tilt-symmetric case of type-I mWSM using the Kubo formula, in the zero-frequency (DC) limit, and recover the well-known vacuum contribution. We compute the Fermi surface corrections and show that the expression generalizes from the formula for elementary (n = 1) type-I WSMs. We derive an expression for the type-II mWSM Hall conductivity, which is bounded by a LL cutoff introduced on physical grounds. Interestingly, we find that the anomalous vacuum Hall conductivity is vanishing in the type-II phase at all temperatures. The corresponding thermal Hall and Nernst conductivities are evaluated and characterized for both phases. The qualitative and quantitative observations presented here may serve in the characterization of generic mWSMs of both types.

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Quantum impurity in topological multi-Weyl semimetals

Cited by 25 publications

References 69 publications

Kondo effect in multi-dirac and weyl fermions

Kondo effect in multi-dirac and weyl fermions

Quantum Tunneling in the $$\alpha -T_3$$ Model with an Effective Mass Term

Anomalous Hall transport in tilted multi-Weyl semimetals

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