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It has long been believed that doped quantum spin liquids (QSLs) can give rise to fascinating quantum phases, including the possibility of high-temperature superconductivity (SC) as proposed by P. W. Anderson's resonating valence bond (RVB)…

Strongly Correlated Electrons · Physics 2024-04-09 Zheng-Tao Xu , Zheng-Cheng Gu , Shuo Yang

Hexagonal lattice systems (e.g. triangular, honeycomb, kagome) possess a multidimensional irreducible representation corresponding to $d_{x^2-y^2}$ and $d_{xy}$ symmetry. Consequently, various unconventional phases that combine these…

Strongly Correlated Electrons · Physics 2013-11-18 Akash V. Maharaj , Ronny Thomale , S. Raghu

We investigate bond- and site-percolation models on several two-dimensional lattices numerically, by means of transfer-matrix calculations and Monte Carlo simulations. The lattices include the square, triangular, honeycomb kagome and diced…

Statistical Mechanics · Physics 2009-01-13 Xiaomei Feng , Youjin Deng , Henk W. J. Blote

Employing large-scale quantum Monte Carlo simulations, we study the extended $XXZ$ model on the kagome lattice. A $\mathbb Z_2$ quantum spin liquid phase with effective even Ising gauge field structure emerges from the delicate balance…

Strongly Correlated Electrons · Physics 2018-08-06 Yan-Cheng Wang , Xue-Feng Zhang , Frank Pollmann , Meng Cheng , Zi Yang Meng

We study the plaquette valence bond solid phase in a XXZ type spin-1/2 model in the kagome lattice. The low energy theory for this phase is a U(1) lattice gauge theory on the honeycomb lattice. We find that there is an emergent 1-form U(1)…

Strongly Correlated Electrons · Physics 2023-06-07 Zijian Xiong

We study a model of hard-core bosons on the kagome lattice with short-range hopping ($t$) and repulsive interactions ($V$). This model directly maps on to an easy-axis $S=1/2$ XXZ model on the kagome lattice and is also related, at large…

Strongly Correlated Electrons · Physics 2008-03-08 Sergei V. Isakov , Arun Paramekanti , Yong Baek Kim

We analyse biased ensembles of trajectories for diffusive systems. In trajectories biased either by the total activity or the total current, we use fluctuating hydrodynamics to show that these systems exhibit phase transtions into…

Statistical Mechanics · Physics 2015-03-05 Robert L. Jack , Ian R. Thompson , Peter Sollich

We consider hard-core bosons on the kagome lattice in the presence of short range repulsive interactions and focus particularly on the filling factor 1/3. In the strongly interacting limit, the low energy excitations can be described by the…

Strongly Correlated Electrons · Physics 2017-02-21 Krishanu Roychowdhury , Subhro Bhattacharjee , Frank Pollmann

The twisted kagome family comprises a spectrum of configurations that can be realized through the sweep of a single configurational degree of freedom known as a twist angle. Recently, it was shown that certain pairs of configurations along…

Materials Science · Physics 2025-01-30 Pegah Azizi , Stefano Gonella

The competition between interactions in frustrated magnets allows a wide variety of new ground states, often exhibiting emergent physics and unique excitations. Expanding the suite of lattices available for study enhances our chances of…

Strongly Correlated Electrons · Physics 2017-01-24 Darren C. Peets , Hasung Sim , Seongil Choi , Maxim Avdeev , Seongsu Lee , Su Jae Kim , Hoju Kang , Docheon Ahn , Je-Geun Park

Dancing tins pair up, But compressing the framework Thwarts the displacements. The density waves that develop in kagome metals ScV$_{6}$Sn$_{6}$ and LuNb$_{6}$Sn$_{6}$ at low temperature appear to arise from under-filled atomic columns…

Strongly Correlated Electrons · Physics 2025-08-28 William R. Meier , David E. Graf , Brenden R. Ortiz , Shirin Mozaffari , David Mandrus

Advances in engineering mesoscopic quantum devices have led to new material platforms where electronic transport can be achieved on foldable structures. In this respect, we study quantum phases and their transitions on a Kirigami structure,…

Mesoscale and Nanoscale Physics · Physics 2025-02-14 Rahul Singh , Adhip Agarwala

Using large scale quantum Monte Carlo simulations and dual vortex theory we analyze the ground state phase diagram of hard-core bosons on the kagome lattice with nearest neighbor repulsion. In contrast to the case of a triangular lattice,…

Strongly Correlated Electrons · Physics 2007-05-23 S. V. Isakov , S. Wessel , R. G. Melko , K. Sengupta , Yong Baek Kim

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 comprehensively study the unconventional pairing and collective modes in the multiband kagome superconductors AV$_3$Sb$_5$ (A=$\mathrm{K},\mathrm{Cs},\mathrm{Rb}$). By solving gap equations at zero temperature, we identify a transition…

Superconductivity · Physics 2026-01-01 Xinloong Han , Jun Zhan , Jiangping Hu , Fu-chun Zhang , Xianxin Wu

We develop a Ginzburg-Landau theory for commensurate pair density wave (PDW) states in a hexagonal lattice system, relevant to the kagome superconductors $\rm{AV_3Sb_5}$. Compared to previous theoretical frameworks, the commensurate wave…

Strongly Correlated Electrons · Physics 2025-02-06 Tong-Yu Lin , Feng-Feng Song , Guang-Ming Zhang

Kagome lattice decorated with S=1/2 spins is one of the most discussed ways to realize a quantum spin liquid. However, all previous material realizations of this model have suffered from additional complications, ranging from additional…

We study the superfluid state of atomic fermions in a tunable optical kagome lattice motivated by recent experiments. We show that imposed superflow induces spatial modulations in the density and order parameter of the pair condensate and…

Quantum Gases · Physics 2013-04-12 Daisuke Yamamoto , Chika Sato , Tetsuro Nikuni , Shunji Tsuchiya

Topologically protected corner states serve as a key indicator for two-dimensional higher-order topological insulators, yet they have not been experimentally identified in realistic materials. Here, by utilizing the effective tight-binding…

Mesoscale and Nanoscale Physics · Physics 2024-10-15 Xiaolin Wan , Junjie Zeng , Ruixiang Zhu , Dong-Hui Xu , Baobing Zheng , Rui Wang

Superconductors are the only experimentally accessible systems with spontaneously broken gauge symmetries which support topologically nontrivial defects, namely string defects. We propose two experiments whose aim is the observation of the…

Condensed Matter · Physics 2009-10-22 Serge Rudaz , Ajit M. Srivastava , Shikha Varma