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Related papers: Kekule spin-orbit dimer phase and triplon dynamics

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We theoretically study the topological properties of the tight-binding model on the breathing kagome lattice with antisymmetric spin-orbit coupling (SOC) between nearest neighbors. We show that the system hosts nontrivial topological phases…

Mesoscale and Nanoscale Physics · Physics 2019-04-29 Adrien Bolens , Naoto Nagaosa

We theoretically study a multi-band Hubbard model of pyrochlore oxides of the form A$_2$B$_2$O$_7$, where B is a heavy transition metal ion with strong spin-orbit coupling, in a thin film geometry orientated along the [111] direction. Along…

Strongly Correlated Electrons · Physics 2013-01-11 Xiang Hu , Andreas Rüegg , Gregory A. Fiete

We investigate the phase diagram of spinless fermions with nearest and next-nearest neighbour density-density interactions on the honeycomb lattice at half-filling. Using Exact Diagonalization techniques of the full Hamiltonian and…

Strongly Correlated Electrons · Physics 2015-08-28 Sylvain Capponi , Andreas M. Läuchli

We present a comprehensive theoretical study of the topological properties of triplon excitations in spin-1/2 dimer-singlet ground states defined on the maple leaf and star lattices. Our analysis is based on a model that includes Heisenberg…

Strongly Correlated Electrons · Physics 2025-11-18 Nanse Esaki , Yutaka Akagi , Karlo Penc , Hosho Katsura

We examine the combined effects of a Kekule coupling texture (KC) and a Dzyaloshinskii-Moriya interaction (DMI) in a two-dimensional ferromagnetic honeycomb lattice. By analyzing the gap closing conditions and the inversions of the bulk…

Mesoscale and Nanoscale Physics · Physics 2019-01-18 Pierre A. Pantaleon , Ramon Carrillo-Bastos , Y. Xian

The $\mathbb{Z}_2$ topological phase in the quantum dimer model on the Kagom\'e-lattice is a candidate for the description of the low-energy physics of the anti-ferromagnetic Heisenberg model on the same lattice. We study the extend of the…

Strongly Correlated Electrons · Physics 2017-12-20 Marc D. Schulz

Special arrangements of atoms with more than one atom per unit cell, including honeycomb or kagome (woven bamboo mat) lattices, can host propagating excitations with non-trivial topology as defined by their evolution along closed paths in…

Kekul\'e-O order in graphene, which has recently been realized experimentally, induces Dirac electron masses on the order of $m \sim 100 \text{meV}$. We show that twisted bilayer graphene in which one or both layers have Kekul\'e-O order…

Mesoscale and Nanoscale Physics · Physics 2024-01-09 Michael G. Scheer , Biao Lian

We demonstrate the existence of orbital Coulomb phase as the exact ground state of p-orbital exchange Hamiltonian on the diamond lattice. The Coulomb phase is an emergent state characterized by algebraic dipolar correlations and a gauge…

Strongly Correlated Electrons · Physics 2012-05-21 Gia-Wei Chern , Congjun Wu

We study an exactly solvable spin-orbital model that can be regarded as a classical analogue of the celebrated Kitaev honeycomb model and describes interactions between Rydberg atoms on the ruby lattice. We leverage its local and nonlocal…

Strongly Correlated Electrons · Physics 2025-05-09 Weslei B. Fontana , Fabrizio G. Oliviero , Rodrigo G. Pereira , Willian M. H. Natori

We derive exact results for close-packed dimers on the triangular kagome lattice (TKL), formed by inserting triangles into the triangles of the kagome lattice. Because the TKL is a non-bipartite lattice, dimer-dimer correlations are…

Statistical Mechanics · Physics 2008-12-11 Yen Lee Loh , Dao-Xin Yao , Erica W. Carlson

A gas of strongly interacting spinless p-orbital fermionic atoms in 2D optical lattices is proposed and studied. Several interesting new features are found. In the Mott limit on a square lattice, the gas is found to be described effectively…

Strongly Correlated Electrons · Physics 2009-11-13 Erhai Zhao , W. Vincent Liu

The results of extensive Monte Carlo simulations of classical spins on the two-dimensional kagome lattice with only dipolar interactions are presented. In addition to revealing the six-fold degenerate ground state, the nature of the…

Materials Science · Physics 2015-05-01 M. S. Holden , M. L. Plumer , I. Saika-Voivod , B. W. Southern

We study the effect of Dzyaloshinskii-Moriya (DM) interaction on the triangular lattice $U(1)$ quantum spin liquid (QSL) which is stabilized by ring-exchange interactions. A weak DM interaction introduces a staggered flux to the $U(1)$ QSL…

Strongly Correlated Electrons · Physics 2021-09-22 Qi-Rong Zhao , Zheng-Xin Liu

Magnetic kagome metals, in which topologically non-trivial band structures and electronic correlation are intertwined, have recently emerged as an exciting platform to explore exotic correlated topological phases, that are usually not found…

We construct a physically realistic and analytically tractable model for spin-1 systems with orbital degeneracy on the honeycomb lattice, relevant to honeycomb materials with large Hund's and weak spin-orbit couplings, and two electrons in…

Strongly Correlated Electrons · Physics 2026-04-01 Lucile Savary

In condensed matter physics, the Kagome lattice and its inherent flat bands have attracted considerable attention for their potential to host a variety of exotic physical phenomena. Despite extensive efforts to fabricate thin films of…

Flat bands and dispersive Dirac bands are known to coexist in the electronic bands in a two-dimensional kagome lattice. Including the relativistic spin-orbit coupling, such systems often exhibit nontrivial band topology, allowing for…

Strongly Correlated Electrons · Physics 2022-08-09 Satoshi Okamoto , Narayan Mohanta , Elbio Dagotto , D. N. Sheng

We study the interplay of attractive electron interactions and topological states in strained kagome lattices with spin-orbit coupling via a Hubbard Hamiltonian in the mean-field approximation. In the unstrained lattice, there is a…

Strongly Correlated Electrons · Physics 2024-12-13 M. A. Mojarro , Sergio E. Ulloa

A promising route to realize entangled magnetic states combines geometrical frustration with quantum-tunneling effects. Spin-ice materials are canonical examples of frustration, and Ising spins in a transverse magnetic field are the…