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The exploration of topological states is of significant fundamental and practical importance in contemporary condensed matter physics, for which the extension to two-dimensional (2D) organometallic systems is particularly attractive. Using…

Mesoscale and Nanoscale Physics · Physics 2016-01-13 Hyun-Jung Kim , Chaokai Li , Ji Feng , Jun-Hyung Cho , Zhenyu Zhang

The purpose of this paper is to investigate the ground-state properties of two-dimensional Heisenberg models on a square lattice with a given dimerization. Our aim is threefold: First, we want to investigate the dimensional transition from…

Strongly Correlated Electrons · Physics 2007-05-23 J. Sirker , A. Klümper , K. Hamacher

Kondo lattices are ideal testbeds for the exploration of heavy-fermion quantum phases of matter. While our understanding of Kondo lattices has traditionally relied on complex bulk f-electron systems, transition metal dichalcogenide…

Strongly Correlated Electrons · Physics 2023-10-11 Wen Wan , Rishav Harsh , Antonella Meninno , Paul Dreher , Sandra Sajan , Haojie Guo , Ion Errea , Fernando de Juan , Miguel M. Ugeda

The Kondo lattice model plays a key role in our understanding of quantum materials, but a lack of small parameters has posed a long-standing problem. We present a 3 dimensional S= 1/2 Kondo lattice model describing a spin liquid within an…

Strongly Correlated Electrons · Physics 2022-10-19 Piers Coleman , Aaditya Panigrahi , Alexei Tsvelik

Topological materials exhibit protected edge modes that have been proposed for applications in for example spintronics and quantum computation. While a number of such systems exist, it would be desirable to be able to test theoretical…

Mesoscale and Nanoscale Physics · Physics 2018-10-15 Robert Drost , Teemu Ojanen , Ari Harju , Peter Liljeroth

We discuss the phase diagram of the quantum dimer model on the hexagonal (honeycomb) lattice. In addition to the columnar and staggered valence bond solids which have been discussed in previous work, we establish the existence of a…

Statistical Mechanics · Physics 2009-11-07 R. Moessner , S. L. Sondhi , P. Chandra

Motivated by recent experiments on ultracold fermionic spin-1/2 $^6$Li atoms in a Lieb lattice at various Hubbard repulsion $U$ and filling fractions $n$ (Lebrat et al., arXiv:2404.17555), we conduct a density matrix renormalization group…

Strongly Correlated Electrons · Physics 2026-04-08 Alexander Nikolaenko , Subir Sachdev

Quantum dimer models are believed to capture the essential physics of antiferromagnetic phases dominated by short-ranged valence bond configurations. We show that these models arise as particular limits of Ising (Z_2) gauge theories, but…

Superconductivity · Physics 2008-12-18 R. Moessner , S. L. Sondhi , Eduardo Fradkin

We propose a new type of topological states of matter exhibiting topologically nontrivial edge states (ESs) within gapless bulk states (GBSs) protected by both spin rotational and reflection symmetries. A model presenting such states is…

Mesoscale and Nanoscale Physics · Physics 2019-04-23 Masoud Bahari , Mir Vahid Hosseini

A recent experiment has examined ultracold, fermionic, spin-1/2 $^6$Li atoms in the Lieb lattice at different Hubbard repulsion $U$ and filling fractions $\nu$ (Lebrat et al. arXiv:2404.17555). At $\nu=1/2$ and small $U$, they observe an…

Strongly Correlated Electrons · Physics 2025-07-21 Alexander Nikolaenko , Pietro M. Bonetti , Anant Kale , Martin Lebrat , Markus Greiner , Subir Sachdev

Recent quasi-2D systems with judicious exploitation of the atomic monolayer or few-layer architecture exhibit unprecedented physical properties that challenge the conventional wisdom on the condensed matter physics. Here we show that the…

Quantum many-body systems with fracton constraints are widely conjectured to exhibit unconventional low-energy phases of matter. In this work, we demonstrate the existence of a variety of such exotic quantum phases in the ground states of a…

Quantum Gases · Physics 2023-07-06 Philip Zechmann , Ehud Altman , Michael Knap , Johannes Feldmeier

The Hubbard model in the strong-coupling regime is mainly studied by Kondo-lattice theory or 1/d expansion theory, with d the spatial dimensionality. In two dimensions and higher, the ground state within the Hilbert subspace with no order…

Strongly Correlated Electrons · Physics 2007-07-03 Fusayoshi J. Ohkawa

Staggered magnetic fluxes (SMF) play a crucial role in achieving Chern insulators (CIs), by which a series of CI models have been established on various lattices. In addition, SMF induced higher-order topological insulator (HOTI) in a…

Strongly Correlated Electrons · Physics 2025-03-07 Li-Xiang Chen , Dong-Hao Guan , Lu Qi , Xiuyun Zhang , Ying Han , Ai-Lei He

We employ a mean-field theory to study ground-state properties and transport of a two-dimensional gas of ultracold alklaline-earth metal atoms governed by the Kondo Lattice Hamiltonian plus a parabolic confining potential. In a homogenous…

Quantum Gases · Physics 2015-05-19 Michael Foss-Feig , Michael Hermele , Victor Gurarie , Ana Maria Rey

The vast majority of symmetry-protected topological (SPT) states are difficult to detect, which often leads to their misidentification as ordinary or topologically trivial phases. In this work, we propose a general framework for detecting…

Strongly Correlated Electrons · Physics 2026-02-06 Zhe Wang , Longye Lu , Shang-Qiang Ning , Zenan Liu , Yan-Cheng Wang , Zheng Yan , Wenan Guo

We have theoretically studied the effect of disorder on ultracold alkaline-earth atoms governed by the Kondo lattice model in an optical lattice via simplified double-well model and hybridization mean-field theory. Disorder-induced…

Quantum Gases · Physics 2014-12-10 Bo-Nan Jiang , Jun Qian , Wen-Li Wang , Juan Du , Yu-Zhu Wang

A family of the pair hopping models exhibiting the incompressible quantum liquid at fractional filling $1/m^D$ is constructed in $D$ dimensional lattice. Except in one dimension, the lattice is the generalized edge-shared triangular…

Strongly Correlated Electrons · Physics 2015-05-14 Chyh-Hong Chern

Using the determinant quantum Monte Carlo method, we investigate the metal-insulator transition in the interacting disordered Hubbard model of a Lieb lattice, in which the system characterizes the flat band centered at the Fermi level. By…

Strongly Correlated Electrons · Physics 2022-12-06 Yueqi Li , Lingyu Tian , Tianxing Ma , Hai-Qing Lin

Aiming to describe frustrated quantum magnets with non-magnetic singlet ground states, we have extended the Rokhsar-Kivelson (RK) loop-expansion to derive a generalized Quantum Dimer Model containing only connected terms up to arbitrary…

Strongly Correlated Electrons · Physics 2009-12-01 A. Ralko , M. Mambrini , D. Poilblanc