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We investigate the two-dimensional frustrated quantum Heisenberg model with bond disorder on nearest-neighbor couplings using the recently introduced Foundation Neural-Network Quantum States framework, which enables accurate and efficient…

Frustration has proved to give rise to an extremely rich phenomenology in both quantum and classical systems. The leading behavior of the system can often be described by an effective model, where only the lowest-energy degrees of freedom…

Strongly Correlated Electrons · Physics 2011-12-15 A. Honecker , D. C. Cabra , H. -U. Everts , P. Pujol , F. Stauffer

Motivated by the search for unconventional orders in frustrated quantum magnets, we present a multi-method investigation into the nature of the quantum phase diagram of the spin-$1/2$ Heisenberg model on the maple-leaf lattice with three…

Strongly Correlated Electrons · Physics 2026-02-26 Lasse Gresista , Dominik Kiese , Simon Trebst , Yasir Iqbal

We study the spectrum and the nature of the excitations of an antiferromagnetic (AFM) Heisenberg chain with staggered long range interactions, both numerically using the time-dependent density matrix renormalization group (tDMRG) method and…

Strongly Correlated Electrons · Physics 2021-01-15 Luhang Yang , Adrian E. Feiguin

The ordering property of the classical pyrochlore Heisenberg antiferromagnet with the ferromagnetic next-nearest-neighbor interaction is investigated by means of a Monte Carlo simulation. The model is found to exhibit a first-order…

Statistical Mechanics · Physics 2015-06-25 Daisuke Tsuneishi , Masayuki Ioki , Hikaru Kawamura

Motivated by the recent synthesis of the spin-1 A-site spinel NiRh$_{\text 2}$O$_{\text 4}$, we investigate the classical to quantum crossover of a frustrated $J_1$-$J_2$ Heisenberg model on the diamond lattice upon varying the spin length…

Strongly Correlated Electrons · Physics 2018-02-01 Finn Lasse Buessen , Max Hering , Johannes Reuther , Simon Trebst

An investigation of the N\'eel Long Range Order (NLRO) in the ground state of antiferromagnetic Heisenberg spin system on the two-dimensional, uniform, bipartite lattice consisting of squares, hexagons and dodecagons is presented. Basing on…

Statistical Mechanics · Physics 2009-11-07 P. Tomczak , J. Schulenburg , J. Richter , A. R. Ferchmin

We study equilibration and ordering in the classical dipolar kagome Ising antiferromagnet, which we show behaves as a disorder-free fragile spin glass. By identifying an appropriate order parameter, we demonstrate a transition to the…

Strongly Correlated Electrons · Physics 2019-04-05 James Hamp , Roderich Moessner , Claudio Castelnovo

We investigate the stability and the nature of the chiral spin liquids which were recently uncovered in extended Heisenberg models on the kagome lattice. Using a Gutzwiller projected wave function approach -- i.e. a parton construction --…

Strongly Correlated Electrons · Physics 2015-09-23 Alexander Wietek , Antoine Sterdyniak , Andreas M. Läuchli

Experimental studies of high-purity kagome-lattice antiferromagnets (KAFM) are of great importance in attempting to better understand the predicted enigmatic quantum spin-liquid ground state of the KAFM model. However, realizations of this…

Strongly Correlated Electrons · Physics 2021-06-02 W. Sun , T. Arh , M. Gomilšek , P. Koželj , S. Vrtnik , M. Herak , J. -X. Mi , A. Zorko

The spin-1/2 square-lattice Heisenberg model is predicted to have a quantum disordered ground state when magnetic frustration is maximized by competing nearest-neighbor $J_1$ and next-nearest-neighbor $J_2$ interactions ($J_2/J_1 \approx…

Strongly Correlated Electrons · Physics 2018-08-22 O. Mustonen , S. Vasala , K. P. Schmidt , E. Sadrollahi , H. C. Walker , I. Terasaki , F. J. Litterst , E. Baggio-Saitovitch , M. Karppinen

Spin liquids occuring in 2D frustrated spin systems were initially assumed to appear at strongest frustration, but evidence grows that they more likely intervene at transitions between two different types of order. To identify if this is…

Strongly Correlated Electrons · Physics 2013-01-30 Philipp Hauke

Effect of structural disorder is investigated for an $XY$ pyrochlore antiferromagnet with continuous degeneracy of classical ground states. Two types of disorder, vacancies and weakly fluctuating exchange bonds, lift degeneracy selecting…

Strongly Correlated Electrons · Physics 2014-09-26 V. S. Maryasin , M. E. Zhitomirsky

Quantum paramagnets are strongly-correlated phases of matter where competing interactions frustrate magnetic order down to zero temperature. In certain cases, quantum fluctuations induce instead topological order, supporting, in particular,…

Quantum Gases · Physics 2022-01-19 Daniel González-Cuadra

Kagome lattice antiferromagnets exhibit plethora of intriguing phases of matter. Particularly interesting state appears at the magnetic field-induced $1/9$ magnetization plateau observed in several recent experimental studies. The nature…

Strongly Correlated Electrons · Physics 2025-12-15 Tanja Đurić , Pinaki Sengupta

We investigate the Heisenberg model on a decorated square (Fisher) lattice in the presence of first-neighbor $J_{1}$, second-neighbor $J_{2}$, and third-neighbor $J_{3}$ exchange couplings, with antiferromagnetic $J_{1}$. The classical…

Strongly Correlated Electrons · Physics 2020-12-08 Atanu Maity , Yasir Iqbal , Saptarshi Mandal

The search for departures from standard hydrodynamics in many-body systems has yielded a number of promising leads, especially in low dimension. Here we study one of the simplest classical interacting lattice models, the nearest-neighbour…

Statistical Mechanics · Physics 2022-12-22 Adam J. McRoberts , Thomas Bilitewski , Masudul Haque , Roderich Moessner

The ground state properties of random-exchange spin-1/2 Heisenberg antiferromagnets on the square lattice are investigated using a combination of quantum Monte Carlo simulations, exact numerical diagonalizations, and spin wave calculations.…

Strongly Correlated Electrons · Physics 2007-05-23 Nicolas Laflorencie , Stefan Wessel , Andreas Laeuchli , Heiko Rieger

We study the spin dynamics of classical Heisenberg antiferromagnet with nearest neighbor interactions on a quasi-two-dimensional kagome bilayer. This geometrically frustrated lattice consists of two kagome layers connected by a…

Strongly Correlated Electrons · Physics 2021-06-09 Preetha Saha , Depei Zhang , Seung-Hun Lee , Gia-Wei Chern

We have studied the antiferromagnetic order -- disorder transition occurring at $T=0$ in a 2-layer quantum Heisenberg antiferromagnet as the inter-plane coupling is increased. Quantum Monte Carlo results for the staggered structure factor…

Condensed Matter · Physics 2009-10-22 A. W. Sandvik , D. J. Scalapino