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Kinetic magnetism is an iconic and rare example of collective quantum order that emerges from the interference of paths taken by a hole in a sea of strongly interacting fermions. Here the lattice topology plays a fundamental role, with odd…

Strongly Correlated Electrons · Physics 2026-03-17 Revathy B S , Shovan Dutta

Frustration and quantum entanglement are two exotic quantum properties in quantum many-body systems. However, despite several efforts, an exact relation between them remains elusive. In this work, we explore the relationship between…

Quantum Physics · Physics 2022-12-01 Sudipto Singha Roy , Leon Carl , Philipp Hauke

Anion doping offers immense potential for tailoring material properties, but achieving precise control over anion incorporation remains a challenge due to complex synthesis processes and limitations in local dopant detection. Here, we…

Competitive effects of so-called three-site four-spin interactions, single ion anisotropy and bilinear interactions is studied in the mixed spin-1/2 and spin-1 Ising model on a decorated square lattice. Exploring the decoration-iteration…

Statistical Mechanics · Physics 2016-06-22 M. Jaščur , V. Štubňa , K. Szałowski , T. Balcerzak

In this work we revisit the Axial Third Nearest Neighbour Ising (A3NNI) chain and examine in detail some aspects of its phase behaviour ensuing from competing interactions and resulting frustration. We probe the phase behaviour with two…

Statistical Mechanics · Physics 2025-07-16 Soumen Khatua , Riekshika Sanwari , Vikram Patil , Anurag Sahay

Phase inhomogeneity of otherwise chemically homogenous electronic systems is an essential ingredient leading to fascinating functional properties, such as high-$T_c$ superconductivity in cuprates, colossal magnetoresistance in manganites,…

Strongly Correlated Electrons · Physics 2014-01-30 Andrej Zorko , Othon Adamopoulos , Matej Komelj , Denis Arćon , Alexandros Lappas

The Fe3+ lattice in the Bi2Fe4O9 compound is found to materialize the first analogue of a magnetic pentagonal lattice. Due to its odd number of bonds per elemental brick, this lattice, subject to first neighbor antiferromagnetic…

Strongly Correlated Electrons · Physics 2016-11-25 Eric Ressouche , Virginie Simonet , Benjamin Canals , Marin Gospodinov , Vassil Skumryev

We report a comprehensive investigation of the average and local structure of La$_{5.4}$WO$_{12-\delta}$, which has excellent mixed proton, electron and oxide ion conduction suitable for device applications. Synchrotron X-ray and neutron…

Usually complex charge ordering phenomena arise due to competing interactions. We have studied how such ordered patterns emerge from the frustration of a long-ranged interaction on a lattice. Using the lattice gas model on a square lattice…

Statistical Mechanics · Physics 2013-09-17 Louk Rademaker , Yohanes Pramudya , Jan Zaanen , Vladimir Dobrosavljevic

In frustrated magnetic systems, the competition amongst interactions can introduce extremely high degeneracy and prevent the system from readily selecting a unique ground state. In such cases, the magnetic order is often exquisitely…

We propose a scheme to realize a frustrated Bose-Hubbard model with ultracold atoms in an optical lattice that comprises the frustrated spin-1/2 quantum XX model. Our approach is based on a square ladder of magnetic flux close to $\pi$ with…

Quantum Gases · Physics 2023-11-01 Luca Barbiero , Josep Cabedo , Maciej Lewenstein , Leticia Tarruell , Alessio Celi

Geometric frustration arises whenever the constituents of a physical assembly locally favor an arrangement that cannot be realized globally. Recently, such frustrated assemblies were shown to exhibit filamentation, size limitation, large…

Soft Condensed Matter · Physics 2021-12-15 Snir Meiri , Efi Efrati

We develop a comprehensive Ginzburg-Landau theory describing triple-Q magnetic orders on hexagonal lattices, focusing on $O(N)$ models with $N=2$ and $N=3$. Through systematic analysis of symmetry-allowed terms in the free energy, we…

Strongly Correlated Electrons · Physics 2025-12-23 Jin-Tao Jin , Yi Zhou

We investigated the electronic structure of layered Mn oxide Bi3Mn4O12(NO3) with a Mn honeycomb lattice by x-ray absorption spectroscopy. The valence of Mn was determined to be 4+ with a small charge-transfer energy. We estimated the values…

Strongly Correlated Electrons · Physics 2015-03-17 H. Wadati , K. Kato , Y. Wakisaka , T. Sudayama , D. G. Hawthorn , T. Z. Regier , N. Onishi , M. Azuma , Y. Shimakawa , T. Mizokawa , A. Tanaka , G. A. Sawatzky

Motivated by the ever-increasing experimental effort devoted to the properties of frustrated quantum magnets in a magnetic field, we present a careful and detailed theoretical analysis of a one-dimensional version of this problem, a…

Strongly Correlated Electrons · Physics 2007-05-23 J. -B. Fouet , F. Mila , D. Clarke , H. Youk , O. Tchernyshyov , P. Fendley , R. M. Noack

Ground-state and finite-temperature properties of the mixed spin-1/2 and spin-S Ising-Heisenberg diamond chains are examined within an exact analytical approach based on the generalized decoration-iteration map. A particular emphasis is…

Statistical Mechanics · Physics 2009-11-11 Lucia Canova , Jozef Strecka , Michal Jascur

Imaging the magnetic fields around a non-magnetic impurity can provide a clear benchmark for quantifying the degree of magnetic frustration. Focusing on the strongly frustrated $J_1$-$J_2$ model and the spatially anisotropic…

Strongly Correlated Electrons · Physics 2011-04-28 C. -C. Chen , R. Applegate , B. Moritz , T. P. Devereaux , R. R. P. Singh

The two-dimensional kagome lattice is a paradigmatic platform for exploring geometrically frustrated magnetism. While the nearest-neighbor ferromagnetic Ising model on this lattice is theoretically trivial, competing further-neighbor…

Strongly Correlated Electrons · Physics 2026-05-26 Yixin Guan , Kan Zhao , Nvsen Ma

Motivated by experiments on the double perovskites La2ZnIrO6 and La2MgIrO6, we study the magnetism of spin-orbit coupled j=1/2 iridium moments on the three-dimensional, geometrically frustrated, face-centered cubic lattice. The…

Strongly Correlated Electrons · Physics 2015-09-30 A. M. Cook , S. Matern , C. Hickey , A. A. Aczel , A. Paramekanti

Magnetic frustration, arising from the competition of exchange interactions, has received great attention because of its relevance to exotic quantum phenomena in materials. In the current work, we report an unusual checkerboard-shaped…