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The ferromagnetic spin exchange interaction between the itinerant electrons and localized moments on a periodic lattice, studied within the so-called Kondo lattice model (KLM), is considered for multiband situation where the hopping…

Strongly Correlated Electrons · Physics 2008-08-07 A. Sharma , W. Nolting

We study the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction in various Kondo lattice systems. We argue that the weak Kondo-coupling expansion contains certain physics which is lost in the usual static approximation to the spin…

Strongly Correlated Electrons · Physics 2026-02-04 Siqi Shao , Yang Ge , Yashar Komijani

The magnetic kagome lattice compound RMn6Sn6 (R=rare earth) is an emerging platform to exploit the interplay between magnetism and topological electronic states where a variety of exciting findings such as flat bands, Dirac points as well…

Electron correlations often lead to emergent orders in quantum materials. Kagome lattice materials are emerging as an exciting platform for realizing quantum topology in the presence of electron correlations. This proposal stems from the…

We present the topology of magnons on the triangular kagome lattice (TKL) by calculating its Berry curvature, Chern number and edge states. In addition to the ferromagnetic state, the TKL hosts ferrimagnetic ground state as its two…

Mesoscale and Nanoscale Physics · Physics 2023-11-01 Meng-Han Zhang , Dao-Xin Yao

Topological flat band (TFB) has been proposed theoretically in various lattice models, to exhibit a rich spectrum of intriguing physical behaviors. However, the experimental demonstration of flat band (FB) properties has been severely…

Materials Science · Physics 2021-08-25 Hang Liu , Sheng Meng , Feng Liu

Interaction in a flat band is magnified due to the divergence in the density of states, which gives rise to a variety of many-body phenomena such as ferromagnetism and Wigner crystallization. Until now, however, most studies of the flat…

Materials Science · Physics 2018-08-01 Yuanping Chen , Shenglong Xu , Yuee Xie , Chengyong Zhong , Congjun Wu , S. B. Zhang

Three important driving forces for creating qualitatively new phases in quantum materials are the topology of the materials' electronic band structures, frustration in the electrons' motion or magnetic interactions, and strong correlations…

A kagome lattice naturally features Dirac fermions, flat bands and van Hove singularities in its electronic structure. The Dirac fermions encode topology, flat bands favour correlated phenomena such as magnetism, and van Hove singularities…

Strongly Correlated Electrons · Physics 2022-12-23 Jia-Xin Yin , Biao Lian , M Zahid Hasan

We propose a modified RKKY-technique to evaluate the magnetic properties of the ferromagnetic Kondo-lattice model. Together with a previously developed selfenergy approach to the conduction electron part of the model we get a closed system…

Strongly Correlated Electrons · Physics 2009-11-07 C. Santos , W. Nolting

The paradigm of electrons interacting with a periodic lattice potential is central to solid-state physics. Semiconductor heterostructures and ultracold neutral atomic lattices capture many of the essential properties of 1D electronic…

The origin of non-dispersive flat band modes for a quasi-one dimensional square-kagome ladder network is explored analytically by virtue of the real space renormalization group (RSRG) technique. A section of the eigenstates is non-diffusive…

Disordered Systems and Neural Networks · Physics 2019-06-26 Atanu Nandy , Amrita Mukherjee

We study the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction between two contact magnetic impurities placed on bilayer graphene (BLG). We compute the interaction mediated by the carriers of the pristine and biased BLG as well as the…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 F. Parhizgar , M. Sherafati , Reza Asgari , S. Satpathy

Flat bands, characterized by zero group velocity and strong energy localization, enable interaction-enhanced phenomena across both quantum and classical systems. Existing photonic flat-band implementations were limited to evanescent-wave…

Optics · Physics 2025-09-17 Han-Rong Xia , Ziyao Wang , Yunrui Wang , Zhen Gao , Meng Xiao

Quantum materials with tunable correlated and/or topological electronic states, such as the electronic Kagome lattice, provide an ideal platform to study the exotic quantum properties. However, the real-space investigations on the…

We investigate the long-range behavior and size dependence of the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction in hexagonal and triangular graphene nanoflakes with zigzag and arm-chair edges. We employ the tight-binding model with exact…

Mesoscale and Nanoscale Physics · Physics 2023-12-12 Ahmet Utku Canbolat , Ozgur Cakir

We address the problem of flat band engineering in different prototypes of quasi-one dimensional kagome network through a generalized analytical proposition worked out within the tight-binding formalism. Exact fabrication of single particle…

Mesoscale and Nanoscale Physics · Physics 2024-11-05 Atanu Nandy

In the quest for topology- and correlation-driven quantum states, kagome lattice materials have garnered significant interest for their band structures, featuring flat bands (FBs) from the quantum destructive interference of the electronic…

Quasiparticle excitations beyond Dirac-Weyl-Majorana classification can appear in lattice systems due to the less symmetry constraint compared with Poincar\'e symmetry in high energy physics. In particular, fermions with an integer spin can…

Mesoscale and Nanoscale Physics · Physics 2018-10-17 Luyang Wang , Dao-Xin Yao

We investigate magnetic order in a lattice of classical spins coupled to an isotropic gas of one-dimensional (1d) conduction electrons via local exchange interactions. The frequently discussed Ruderman-Kittel-Kasuya-Yosida (RKKY) effective…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Michael Schecter , Mark S. Rudner , Karsten Flensberg