Competition between the Soft Gap and the Molecular Kondo Singlets in Flat-band Lattices

Authors

  • Bo Duong Nguyen 1Graduate University of Science and Technology, Vietnam Academy of Science and Technology, Hanoi
  • Son Hong Nguyen Department of Occupational Safety and Health, Trade Union University, 169 Tay Son, Hanoi
  • Tien Minh Tran Institute of Physics, Vietnam Academy of Science and Technology, Hanoi

DOI:

https://doi.org/10.15625/0868-3166/28/4/13182

Keywords:

Kondo effect, numerical renormalization group, strongly correlated electron systems, flat band, soft gap

Abstract

The Kondo problem of a magnetic impurity embedded in the Lieb lattice is studied by the numerical renormalization group. The magnetic impurity hybridizes with conduction electrons from both the flat- and the soft-gap bands. We find a competition between the soft gap and the molecular Kondo singlet formations. The molecular Kondo effect occurs only when the magnetic impurity strongly hybridizes with conduction electrons at edge center sites of the Lieb lattice, and at the temperature range between the artificial strong coupling and the local moment regimes.

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References

H. Tasaki, Prog. Theor. Phys. 99 (1998) 489.

Minh-Tien Tran and Thuy Thi Nguyen, Phys. Rev. B 97 (2018) 155125.

P. Fulde, Electron Correlations in Molecules and Solids, Springer Series in Solid-State Science, 3rd ed., Springer (2002).

C.-S. Neumann and P. Fulde, Z. Phys. B 74 (1989) 277.

E. Runge and G. Zwicknagl, Ann. Phys. 508 (1996) 333.

L. Fritz and M. Vojta, Rep. Prog. Phys. 76 (2013) 032501.

R. Bulla, T. A. Costi, and T. Pruschke, Rev. Mod. Phys. 80 (2008) 395.

K. G. Wilson, Rev. Mod. Phys. 47 (1975) 773.

H. R. Krishna-murthy, J. W. Wilkins, and K. G. Wilson, Phys. Rev. B 21 (1980) 1003.

H. R. Krishna-murthy, J. W. Wilkins, and K. G. Wilson, Phys. Rev. B 21 (1980) 1044.

S. Mukherjee, A. Spracklen, D. Choudhury, N. Goldman, P. Ohberg, E. Andersson, and R. R. Thomson, Phys. Rev. Lett. 114 (2015) 245504.

S. Taie, H. Ozawa, T. Ichinose, T. Nishio, S. Nakajima and Y. Takahashi, Science Adv. 1 (2015) 1500854.

M. R. Slot, T. S. Gardenier, P. H. Jacobse, G. C. P. van Miert, S. N. Kempkes, S. J. M. Zevenhuizen, C. M. Smith, D. Vanmaekelbergh, and I. Swart, Nat. Phys. 13 (2017) 672.

The NRG Ljubljana package is avaiable at http://nrgljubljana.ijs.si.

R. Zitko and Th. Pruschke, Phys. Rev. B 79 (2009) 085106.

R. Zitko, Comp. Phys. Comm. 180 (2009) 1271.

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Published

27-12-2018

How to Cite

Nguyen, B. D., Nguyen, S. H., & Tran, T. M. (2018). Competition between the Soft Gap and the Molecular Kondo Singlets in Flat-band Lattices. Communications in Physics, 28(4), 361. https://doi.org/10.15625/0868-3166/28/4/13182

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Papers