Competition between the Soft Gap and the Molecular Kondo Singlets in Flat-band Lattices
Keywords:Kondo effect, numerical renormalization group, strongly correlated electron systems, flat band, soft gap
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.
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.
How to Cite
LicenseAuthors who publish with CIP agree with the following terms:
- The manuscript is not under consideration for publication elsewhere. When a manuscript is accepted for publication, the author agrees to automatic transfer of the copyright to the editorial office.
- The manuscript should not be published elsewhere in any language without the consent of the copyright holders. Authors have the right to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal’s published version of their work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are encouraged to post their work online (e.g., in institutional repositories or on their websites) prior to or during the submission process, as it can lead to productive exchanges or/and greater number of citation to the to-be-published work (See The Effect of Open Access).