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We study frustrated spin-1/2 dimer systems in two dimensions with a bilayer structure, where spins are ferromagnetically coupled in dimers. Our model includes frustrated two-spin exchange interactions as well as four-spin interaction. We…

Strongly Correlated Electrons · Physics 2019-12-17 Toshiya Hikihara , Takahiro Misawa , Tsutomu Momoi

Single crystals of the frustrated S=1/2 ferro-antiferromagnetic proximate square lattice material SrZnZnVO(PO$_4$)$_2$ are studied in magnetometric, calorimetric, neutron diffraction and inelastic neutron scattering experiments. The…

Strongly Correlated Electrons · Physics 2022-01-12 Florian Landolt , Zewu Yan , Severian Gvasaliya , Ketty Beauvois , Eric Ressouche , Jianhui Xu , Andrey Zheludev

We study collective quantum phases and quantum phase transitions occurring in frustrated sawtooth arrays of small quantum Josephson junctions. Frustration is introduced through the periodic arrangement of $0$- and $\pi$- Josephson junctions…

Strongly Correlated Electrons · Physics 2024-12-03 M. V. Fistul , O. Neyenhuys , B. Pernack , I. M. Eremin , Sergej Flach , Alexei Andreanov

A Heisenberg spin-$s$ chain with alternating ferromagnetic ($-J_1^F<0$) and antiferromagnetic ($J_1^A>0$) nearest-neighbor (NN) interactions, exhibits the Dimer and spin-$2s$ Haldane phases in the limits $J_1^F/J_1^A \rightarrow 0$ and…

Strongly Correlated Electrons · Physics 2020-06-02 Shaon Sahoo , Dayasindhu Dey , Sudip Kumar Saha , Manoranjan Kumar

We present a detailed numerical analysis of the low energy excitation spectrum of a frustrated and dimerized spin $S=1/2$ Heisenberg chain. In particular, we show that in the commensurate spin--Peierls phase the ratio of the singlet and…

Strongly Correlated Electrons · Physics 2016-08-31 G. Bouzerar , A. P. Kampf , G. I. Japaridze

Frustration is a key driver of exotic quantum phases, yet its role in charge dynamics remains largely unexplored. We show that charge frustration - induced by electronic polarization effects - stabilizes unconventional insulating states in…

Strongly Correlated Electrons · Physics 2025-11-14 Sourabh Saha , Jeroen van den Brink , Manoranjan Kumar , Satoshi Nishimoto

In this article we review the effects of magnetic frustation in the stacked triangular lattice. Frustration increases the degeneracy of the ground state, giving rise to different physics. In particular it leads to unique phase diagrams with…

Condensed Matter · Physics 2009-10-30 M. F. Collins , O. A. Petrenko

Geometric frustration lies at the heart of many unconventional quantum phases in strongly interacting electron systems. Here, we analytically determine the ground state magnetization of the half-filled Hubbard model on frustrated geometries…

Strongly Correlated Electrons · Physics 2025-09-10 F. P. M. Méndez-Córdoba , J. Tindall , D. Jaksch , F. Schlawin

After a short introduction on frustrated spin systems, we study in this chapter several two-dimensional frustrated Ising spin systems which can be exactly solved by using vertex models. We show that these systems contain most of the…

Statistical Mechanics · Physics 2020-01-01 H. T. Diep , H. Giacomini

We predict that an external field can induce a spin order in highly frustrated classical Heisenberg magnets. We find analytically stabilization of collinear states by thermal fluctuations at a one-third of the saturation field for kagome…

Strongly Correlated Electrons · Physics 2007-05-23 M. E. Zhitomirsky , A. Honecker , O. A. Petrenko

We study the effect of an externally imposed rotation or magnetic field on frustrated multiband superconductors/superfluids. The frustration originates with multiple superconducting bands crossing the Fermi surface in conjunction with…

Superconductivity · Physics 2014-10-21 Troels Arnfred Bojesen , Asle Sudbø

We study excitations in weakly interacting pairs of quantum spin ladders coupled through geometrically frustrated bonds. The ground state is a disordered spin liquid, that at high fields is replaced by an ordered chiral helimagnetic phase.…

Strongly Correlated Electrons · Physics 2015-05-14 A. Zheludev , V. O. Garlea , A. Tsvelik , L. -P. Regnault , K. Habicht , K. Kiefer , B. Roessli

We introduce a frustrated spin 1/2 Hamiltonian which is an extension of the two dimensional $J_1 - J_2$ Heisenberg model. The ground states of this model are exactly obtained at a first order quantum phase transition between two regions…

Strongly Correlated Electrons · Physics 2009-11-10 C. D. Batista , S. A. Trugman

The magnetic properties of the first odd-member antiferromagnetic ring comprising eight chromium(III) ions, S=3/2 spins, and one nickel(II) ion, S=1 spin, are investigated. The ring possesses an even number of unpaired electrons and a S=0…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Olivier Cador , Dante Gatteschi , Roberta Sessoli , Anne-Laure Barra , Grigore A. Timco , Richard E. P. Winpenny

We review the consequences of intrinsic frustration of the orbital superexchange and of spin-orbital entanglement. While Heisenberg perturbing interactions remove frustration in the compass model, the lowest columnar excitations are robust…

Strongly Correlated Electrons · Physics 2015-03-30 Andrzej M. Oleś

Random quenched dilution of the triangular-lattice antiferromagnetic Ising model locally relieves frustration, leading to ordering phenomena. We have studied this system, under such dilution of one sublattice, using hard-spin mean-field…

Statistical Mechanics · Physics 2009-10-31 Huseyin Kaya , A. Nihat Berker

We study the formation of magnetic clusters in frustrated magnets in their cooperative paramagnetic regime. For this purpose, we consider the $J_1$-$J_2$-$J_3$ classical Heisenberg model on kagome and pyrochlore lattices with $J_2 = J_3=J$.…

Strongly Correlated Electrons · Physics 2018-11-07 Tomonari Mizoguchi , Ludovic D. C. Jaubert , Roderich Moessner , Masafumi Udagawa

Spin wave dispersion in the frustrated fcc type-III antiferromagnet MnS$_2$ has been determined by inelastic neutron scattering using a triple-axis spectrometer. Existence of multiple spin wave branches, with significant separation between…

Strongly Correlated Electrons · Physics 2019-02-20 T. Chatterji , L. P. Regnault , S. Ghosh , A. Singh

Spin-1/2 orthogonal-dimer chain composed of regularly alternating Ising and Heisenberg dimers is exactly solved in a presence of the magnetic field by the transfer-matrix method. It is shown that the ground-state phase diagram involves in…

Statistical Mechanics · Physics 2020-09-04 L. Gálisová , J. Strečka , T. Verkholyak , S. Havadej

Quantum antiferromagnets on geometrically frustrated lattices have long attracted interest for the formation of quantum disordered states and the possible emergence of quantum spin liquid (QSL) ground states. Here we turn to the…

Strongly Correlated Electrons · Physics 2023-12-21 Lasse Gresista , Ciarán Hickey , Simon Trebst , Yasir Iqbal