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We discuss the ground state and the low-lying excitations of the spin-half Heisenberg antiferromagnet on the two-dimensional square-kagome lattice. This magnetic system belongs to the class of highly frustrated spin systems with an infinite…

Strongly Correlated Electrons · Physics 2007-05-23 J. Richter , J. Schulenburg , P. Tomczak , D. Schmalfuß

Electron-correlation-driven phonon soft modes have been recently reported in the antiferromagnetic kagome FeGe compound and associated with the observed charge density wave (CDW). In this paper, we present a systematic investigation of the…

We give a physical picture of the low-energy sector of the spin 1/2 Heisenberg Kagome antiferromagnet (KAF). It is shown that Kagome lattice can be presented as a set of stars which are arranged in a triangular lattice and contain 12 spins.…

Strongly Correlated Electrons · Physics 2007-05-23 A. V. Syromyatnikov , S. V. Maleyev

Magnetic excitation in a spin dimer system on a bilayer honeycomb lattice is investigated in the presence of a zigzag edge, where disordered and ordered phases can be controlled by a quantum phase transition. In analogy with the case of…

Strongly Correlated Electrons · Physics 2016-10-17 Ryo Sakaguchi , Masashige Matsumoto

Frustrated magnetism on the kagome lattice has been a fertile ground for rich and fascinating physics, ranging from experimental evidence of a spin liquid to theoretical predictions of exotic superconductivity. Among experimentally realized…

Strongly Correlated Electrons · Physics 2015-12-16 Yasir Iqbal , Harald O. Jeschke , Johannes Reuther , Roser Valentí , I. I. Mazin , Martin Greiter , Ronny Thomale

Here, we present the application of a novel method for controlling the geometry of a state-dependent honeycomb lattice: The energy offset between the two sublattices of the honeycomb structure can be adjusted by rotating the atomic…

We study the phase behaviour and the collective dynamics of interacting paramagnetic colloids assembled above a honeycomb lattice of triangular shaped magnetic minima. A frustrated colloidal molecular crystal is realized when filling these…

Soft Condensed Matter · Physics 2016-09-07 Pietro Tierno

We introduce a one-parameter family, $0 \leq H \leq 1$, of pair potential functions with a single relative energy minimum that stabilize a range of vacancy-riddled crystals as ground states. The "quintic potential" is a short-ranged,…

Materials Science · Physics 2012-08-16 Robert D. Batten , David A. Huse , Frank H. Stillinger , Salvatore Torquato

Excitonic properties in the Kagome lattice system, which is produced by quantum wires on semiconductor surfaces, are investigated by using the exact diagonalization of a tight binding model. It is shown that due to the existence of flat…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 H. Ishii , T. Nakayama , J. Inoue

On the kagome lattice, electrons benefit from the simultaneous presence of band topology, flat electronic bands, and van Hove singularities, forming competing or cooperating orders. Understanding the interrelation between these distinct…

A Kagome lattice, formed by triangles of two different directions, is known to have many emergent quantum phenomena. Under the breathing anisotropy of bond strengths, this lattice can become a higher-order topological insulator (HOTI),…

Mesoscale and Nanoscale Physics · Physics 2022-02-24 Jun Jung , Yong-Hyun Kim

In loop-current states, interacting electronic degrees of freedom collectively establish interatomic currents, in a rare example of magnetism in which spin degrees of freedom do not play the primary role. The main impact of such states on…

Strongly Correlated Electrons · Physics 2025-02-25 Rafael M. Fernandes , Turan Birol , Mengxing Ye , David Vanderbilt

The pseudo-magnetic field created by a non-uniform unaxial strain is introduced into the antiferromagnetic honeycomb nanoribbons. The formation of magnon pseudo-Landau levels, which appear from the upper end of the spectrum and whose level…

Strongly Correlated Electrons · Physics 2021-12-30 Junsong Sun , Huaiming Guo , Shiping Feng

We perform a theoretical investigation of the nature of vortices in chiral $d+id$ superconductors on the kagome lattice. The study is motivated by recent experimental developments reporting evidence of time-reversal symmetry breaking in the…

Superconductivity · Physics 2026-02-20 Frederik A. S. Philipsen , Mats Barkman , Andreas Kreisel , Brian M. Andersen

In this paper, we study the topological properties of magnons on a dice lattice, also known as the dual of a more widely studied kagome lattice. This structure has a central atom at the center of the honeycomb lattice, which leads to the…

Mesoscale and Nanoscale Physics · Physics 2024-10-01 Shreya Debnath , Saurabh Basu

Topological quantum materials with kagome lattice have become the emerging frontier in the context of condensedmatter physics. Kagome lattice harbors strongmagnetic frustration and topological electronic states generatedby the unique…

Superconductivity · Physics 2025-07-04 Qi Wang , Hechang Lei , Yanpeng Qi , Claudia Felser

The notion of an electronic flat band refers to a collectively degenerate set of quantum mechanical eigenstates in periodic solids. The vanishing kinetic energy of flat bands relative to the electron-electron interaction is expected to…

The long-wavelength physics of monolayer graphene in the presence of periodic strain fields has a natural chiral scattering network description. When the strain field varies slowly compared to the graphene lattice and the effective magnetic…

Mesoscale and Nanoscale Physics · Physics 2023-01-18 Christophe De Beule , Vo Tien Phong , E. J. Mele

In this report we summarize a recent progress in exploration of correlated two-dimensional electron states in partially filled high Landau levels. At a mean-field Hartree-Fock level they can be described as charge-density waves, either…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Michael M. Fogler

Geometric frustration has long been a subject of enduring interest in condensed matter physics. While geometric frustration traditionally focuses on magnetic systems, little attention is paid to the "frustrated superconductivity" which…

Superconductivity · Physics 2025-10-16 Hong-Min Jiang , Wen-Qian Dong , Shun-Li Yu , Z. D. Wang
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