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The classical Heisenberg antiferromagnet on the pyrochlore lattice is macroscopically and continuously degenerate and the system remains disordered at all temperatures, even in the presence of weak dilution with nonmagnetic ions. We show…

Disordered Systems and Neural Networks · Physics 2009-10-31 L. Bellier-Castella , M. J. P. Gingras , P. C. W. Holdsworth , R. Moessner

We study the spin-1/2 Heisenberg antiferromagnet on a bilayer honeycomb lattice including interlayer frustration. Using a set of complementary approaches, namely Schwinger bosons, dimer series expansion, bond operators, and exact…

Strongly Correlated Electrons · Physics 2016-07-12 Hao Zhang , Carlos A. Lamas , Marcelo Arlego , Wolfram Brenig

Motivated by the recent synthesis of a number of Mott insulating square-kagome materials, we explore the rich phenomenology of frustrated magnetism induced by this lattice geometry, also referred to as the squagome or shuriken lattice. On…

Strongly Correlated Electrons · Physics 2023-12-11 Martin Gembé , Heinz-Jürgen Schmidt , Ciarán Hickey , Johannes Richter , Yasir Iqbal , Simon Trebst

We investigate the ground-state magnetic long-range order of quasi-one-dimensional quantum Heisenberg antiferromagnets for spin quantum numbers s=1/2 and s=1. We use the coupled cluster method to calculate the sublattice magnetization in…

Strongly Correlated Electrons · Physics 2008-03-05 Ronald Zinke , Joerg Schulenburg , Johannes Richter

We use the coupled cluster method implemented to high orders of approximation to investigate the frustrated spin-$\frac{1}{2}$ $J_{1}$--$J_{2}$--$J_{3}$ antiferromagnet on the honeycomb lattice with isotropic Heisenberg interactions of…

Strongly Correlated Electrons · Physics 2016-01-06 R. F. Bishop , P. H. Y. Li , O. Götze , J. Richter , C. E. Campbell

The spin-3/2 Heisenberg antiferromagnet on the bilayer honeycomb lattice is a minimal model to describe the magnetic behavior of Bi$_3$Mn$_4$O$_{12}$(NO$_3$). We study this model with frustrating inter-layer second-neighbor couplings,…

Strongly Correlated Electrons · Physics 2021-12-15 S. Acevedo , C. A. Lamas , P. Pujol

The stable magnetisation configurations of antiferromagnets on quasiperiodic tilings are investigated theoretically. The exchange coupling is assumed to decrease exponentially with the distance between magnetic moments. It is demonstrated…

Disordered Systems and Neural Networks · Physics 2007-05-23 E. Y. Vedmedenko , U. Grimm , R. Wiesendanger

Collective motions in strongly interacting magnets involve many spins and are often described in terms of integer-spin excitations. However, in certain cases, the collective motion can behave as if these integer excitations break apart into…

Motivated by systems that can be seen as composed of two frustrated sublattices combined into a less frustrated total lattice, we study the double-exchange model with nearest-neighbor (NN) and next--nearest-neighbor (NNN) couplings on the…

Strongly Correlated Electrons · Physics 2017-09-06 Sahinur Reja , Pavel S. Anisimov , Maria Daghofer

In frustrated magnetic systems with competing interactions fluctuations can lift the residual accidental degeneracy. We argue that the state selection may have different outcomes for quantum and thermal order by disorder. As an example, we…

Strongly Correlated Electrons · Physics 2020-12-11 R. Schick , T. Ziman , M. E. Zhitomirsky

The nature of magnetism in the intercalated honeycomb iridate Ag$_3$LiIr$_2$O$_6$ has been a subject of recent intensive debate, where the absence or presence of antiferromagnetic order has been reported to be related to possible structural…

Strongly Correlated Electrons · Physics 2022-03-28 Ying Li , Roser Valenti

Disorder in quantum systems can lead to the disruption of long-range order in the ground state and to the localization of the elementary excitations - famous examples thereof being the Bose glass of interacting bosons in a disordered or…

Disordered Systems and Neural Networks · Physics 2020-04-08 Raphaël Menu , Tommaso Roscilde

Motivated by the observation of partial magnetic order in kagome-based magnets, we study the classical kagome Ising antiferromagnet, known as kagome spin ice, including further-neighbor interactions at zero and finite temperature. While the…

Strongly Correlated Electrons · Physics 2024-06-04 Eric C. Andrade , Matthias Vojta

This paper discusses the ground state of quantum spins interacting via Heisenberg antiferromagnetic exchange, in two dimensional lattices having several different local environments. In unfrustrated lattices, when a N\'eel type order…

Strongly Correlated Electrons · Physics 2015-05-19 A. Jagannathan

Geometrical frustration in strongly correlated systems can give rise to a plethora of novel ordered states and intriguing magnetic phases, such as quantum spin liquids. Promising candidate materials for such phases can be described by the…

The models constructed by Affleck, Kennedy, Lieb, and Tasaki describe a family of quantum antiferromagnets on arbitrary lattices, where the local spin S is an integer multiple M of half the lattice coordination number. The equal time…

Strongly Correlated Electrons · Physics 2010-01-26 Siddharth A. Parameswaran , S. L. Sondhi , Daniel P. Arovas

On the triangular lattice, for $J_2/J_1$ between $1/8$ and $1$, the classical Heisenberg model with first and second neighbor interactions presents four-sublattice ordered ground-states. Spin-wave calculations of Chubukov and…

Condensed Matter · Physics 2009-10-28 P. Lecheminant , B. Bernu , C. Lhuillier , L. Pierre

It is well established that long-range magnetic order is suppressed in magnetic systems whose interactions are low-dimensional. The prototypical example is the S-1/2 Heisenberg antiferromagnetic chain (S-1/2 HAFC) whose ground state is…

We use a recently developed bosonic mean-field theory (MFT) to study the ordered ground states of frustrated Heisenberg antiferromagnets (FHAFM) in two dimensions. We emphasize the role of condensates in satisfying the MF variational…

Condensed Matter · Physics 2007-05-23 R. Chitra , Sumathi Rao , Diptiman Sen

The competition between different forms of order is central to the problem of strong correlation. This is particularly true of frustrated systems, which frequently exist at or near to a zero-temperature critical point. Here we show that a…

Strongly Correlated Electrons · Physics 2007-05-23 Nic Shannon , Karlo Penc , Yukitoshi Motome