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Geometric frustration in quantum magnetism refers to that magnetic interactions on different bonds cannot be simultaneously minimized. The usual Cooper pairing systems favor the uniform distribution of the pairing phase among lattice sites…

Superconductivity · Physics 2011-04-13 Hsiang-hsuan Hung , Wei-Cheng Lee , Congjun Wu

Kagome spin ice is one of the canonical examples of highly frustrated magnets. The effective magnetic degrees of freedom in kagome spin ice are Ising spins residing on a two-dimensional network of corner-sharing triangles. Due to strong…

Statistical Mechanics · Physics 2024-06-18 Zhijie Fan , Gia-Wei Chern

We study one-dimensional spin-1/2 models in which strict confinement of Ising domain walls leads to the fragmentation of Hilbert space into exponentially many disconnected subspaces. Whereas most previous works emphasize dipole moment…

Strongly Correlated Electrons · Physics 2020-05-26 Zhi-Cheng Yang , Fangli Liu , Alexey V. Gorshkov , Thomas Iadecola

We investigate the properties of an effective Hamiltonian with competing interactions involving spin and chirality variables, relevant for the description of the {\it trimerized} version of the spin-1/2 {\it kagome} antiferromagnet. Using…

Strongly Correlated Electrons · Physics 2008-12-08 Michel Ferrero , Federico Becca , Frédéric Mila

Frustrated quantum spin systems such as the Heisenberg and Kitaev models on various lattices, have been known to exhibit various exotic properties not only at zero temperature but also for finite temperatures. Inspired by the remarkable…

Strongly Correlated Electrons · Physics 2020-03-04 Katsuhiro Morita , Takami Tohyama

Quantum systems that violate the eigenstate thermalisation hypothesis thereby falling outside the paradigm of conventional statistical mechanics are of both intellectual and practical interest. We show that such a breaking of ergodicity may…

Disordered Systems and Neural Networks · Physics 2020-05-20 Sthitadhi Roy , Achilleas Lazarides

We study the low-temperature thermodynamic properties of a number of frustrated quantum antiferromagnets which support localized magnon states in the vicinity of the saturation field. For this purpose we use 1) a mapping of the low-energy…

Strongly Correlated Electrons · Physics 2007-05-23 Oleg Derzhko , Johannes Richter

We propose a method to study the magnetic properties of a disordered Ising kagome lattice. The model considers small spin clusters with infinite-range disordered couplings and short-range ferromagnetic (FE) or antiferromagnetic…

Disordered Systems and Neural Networks · Physics 2015-07-10 M. Schmidt , F. M. Zimmer , S. G. Magalhaes

Frustrated magnets can elude the paradigm of conventional symmetry breaking and instead exhibit signatures of emergent symmetries at low temperatures. Such symmetries arise from "accidental" degeneracies within the ground state manifold and…

Strongly Correlated Electrons · Physics 2025-08-25 Sagar Ramchandani , Simon Trebst , Ciarán Hickey

In this work we investigate the ground state properties of a candidate quantum spin liquid using a superconducting Noisy Intermediate-Scale Quantum (NISQ) device. Specifically, we study the antiferromagnetic Heisenberg model on a Kagome…

Quantum Physics · Physics 2025-06-17 Tim Weaving , Alexis Ralli , Vinul Wimalaweera , Peter J. Love , Peter V. Coveney

Geometric frustration inhibits magnetic systems from ordering, opening a window to unconventional phases of matter. The paradigmatic frustrated lattice in three dimensions to host a spin liquid is the pyrochlore, although there remain few…

Highly frustrated systems have macroscopically degenerate ground states that lead to novel properties. In magnetism its consequences underpin exotic and technologically important effects, such as, high temperature superconductivity,…

Strongly Correlated Electrons · Physics 2007-05-23 W. Bisson , A. S. Wills

The kagome Heisenberg antiferromagnet formed by frustrated spins arranged in a lattice of corner-sharing triangles is a prime candidate for hosting a quantum spin liquid (QSL) ground state consisting of entangled spin singlets. But the…

Strongly Correlated Electrons · Physics 2022-03-09 Jiaming Wang , Weishi Yuan , Philip M. Singer , Rebecca W. Smaha , Wei He , Jiajia Wen , Young S. Lee , Takashi Imai

We study a class of disordered continuous classical spin systems including the kagome Heisenberg magnet. While each term in its local Hamiltonian can be independently minimised, we find {\it discrete} degenerate ground states whose number…

Strongly Correlated Electrons · Physics 2017-12-13 Thomas Bilitewski , Mike E. Zhitomirsky , Roderich Moessner

The magnetization and specific heat measurements have been performed on single-crystalline Gd_3_Ru_4_Al_12_ with a distorted Kagome lattice structure. This spin system is regarded as an antiferromagnetic triangular lattice of XY like…

Strongly Correlated Electrons · Physics 2023-02-08 S. Nakamura , N. Kabeya , M. Kobayashi , K. Araki , K. Katoh , A. Ochiai

Geometric frustration can significantly increase the complexity and richness of many-body physics and, for instance, suppress antiferromagnetic order in quantum magnets. Here, we employ ultracold bosonic $^{39}$K atoms in a triangular…

We introduce quantum dimer models on lattices made of corner-sharing triangles. These lattices includes the kagome lattice and can be defined in arbitrary geometry. They realize fully disordered and gapped dimer-liquid phase with…

Strongly Correlated Electrons · Physics 2011-07-19 G. Misguich , D. Serban , V. Pasquier

We investigate the thermalization dynamics of 1D systems with local constraints coupled to an infinite temperature bath at one boundary. The coupling to the bath eventually erases the effects of the constraints, causing the system to tend…

Quantum Physics · Physics 2025-01-24 Cheng Wang , Shankar Balasubramanian , Yiqiu Han , Ethan Lake , Xiao Chen , Zhi-Cheng Yang

The kagome lattice, known for its strong frustration in two dimensions, hosts a variety of exotic magnetic and electronic states. A variation of this geometry, where the triangular motifs are twisted to further reduce symmetry, has recently…

We present large-scale quantum Monte Carlo simulation results on a realistic Hamiltonian of kagome-lattice Rydberg atom arrays. Although the system has no intrinsic disorder, intriguingly, our analyses of static and dynamic properties on…

Quantum Gases · Physics 2023-05-22 Zheng Yan , Yan-Cheng Wang , Rhine Samajdar , Subir Sachdev , Zi Yang Meng
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