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The spin-1/2 Ising-Heisenberg model on martini and martini-diced lattice is exactly solved using a star-triangle transformation, which affords an exact mapping correspondence to an effective spin-1/2 Ising model on a triangular lattice. The…

Statistical Mechanics · Physics 2022-03-23 Hamid Arian Zad , Jozef Strecka

The ground state of a spin 1/2 nearest neighbor quantum Heisenberg antiferromagnet on the pyrochlore lattice is investigated using a large $N$ SU(N) fermionic mean field theory. We find several mean field states, of which the state of…

Strongly Correlated Electrons · Physics 2011-07-13 F. J. Burnell , Shoibal Chakravarty , S. L. Sondhi

We investigate the existence and the properties of fully separable (fully factorized) ground states in quantum spin systems. Exploiting techniques of quantum information and entanglement theory we extend a recently introduced method and…

Statistical Mechanics · Physics 2009-07-01 S. M. Giampaolo , G. Adesso , F. Illuminati

We study the ground state (GS) many-body quantum entanglement of two different transverse field models on a quasi-2D square lattice relevant to a Hydrogen-bonded crystal, i.e, squaric acid. We measure the genuine multipartite…

Strongly Correlated Electrons · Physics 2021-02-01 Vikas Vijigiri , K G Paulson , Saptarshi Mandal , A M Jayannavar

We have found the exact groundstate for a large class of antiferromagnetic spin-1 models with nearest-neighbour interactions on a linear chain. All groundstate properties can be calculated. The groundstate is determined as a matrix product…

Condensed Matter · Physics 2009-10-22 A. Klümper , A. Schadschneider , J. Zittartz

The subtle interplay between competing degrees of freedom, crystal electric fields, and spin correlations can lead to exotic quantum states in 4f ion-based frustrated triangular lattice antiferromagnets. We present the crystal structure,…

Strongly Correlated Electrons · Physics 2026-03-17 M. Barik , J. Khatua , Suyoung Kim , Eundeok Mun , Suheon Lee , Bassam Hitti , Gerald D. Morris , Kwang-Yong Choi , P. Khuntia

The frustration phenomenon in an exactly solvable spin-electron planar model constituted by identical bipyramidal plaquettes is discussed within the Toulouse's and dos Santos and Lyra's frustration concepts. It is shown that the ground…

Statistical Mechanics · Physics 2021-09-30 Lucia Gálisová

Frustrated bilayer quantum magnets have attracted attention as flat-band spin systems with unconventional thermodynamic properties. We study the low-temperature properties of a frustrated honeycomb-lattice bilayer spin-$\frac{1}{2}$…

Strongly Correlated Electrons · Physics 2018-07-26 Taras Krokhmalskii , Vasyl Baliha , Oleg Derzhko , Jörg Schulenburg , Johannes Richter

Quantum Heisenberg antiferromagnets on pyrochlore and checkerboard lattices in a strong external magnetic field are mapped onto hard-core lattice gases with an extended exclusion region. The effective models are studied by the exchange…

Strongly Correlated Electrons · Physics 2011-11-09 M. E. Zhitomirsky , H. Tsunetsugu

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

We study the low-temperature physics of the $SU(2)$-symmetric spin-$1/2$ Heisenberg antiferromagnet on a pyrochlore lattice and find fingerprint evidence for the thermal spin-ice state in this frustrated quantum magnet. Our conclusions are…

Strongly Correlated Electrons · Physics 2016-05-04 Yuan Huang , Kun Chen , Youjin Deng , Nikolay Prokof'ev , Boris Svistunov

By utilizing tensor-network-based methods, we investigate the zero- and finite-temperature properties of the spin-1/2 Heisenberg antiferromagnetic (HAF) model on an infinite Husimi lattice that contains 3/2 sites per triangle. The ground…

Strongly Correlated Electrons · Physics 2014-02-27 Tao Liu , Shi-Ju Ran , Wei Li , Xin Yan , Yang Zhao , Gang Su

We present local probe results on the honeycomb lattice antiferromagnet Ba3CuSb2O9. Muon spin relaxation measurements in zero field down to 20 mK show unequivocally that there is a total absence of spin freezing in the ground state. Sb NMR…

Strongly Correlated Electrons · Physics 2015-06-05 J. A. Quilliam , F. Bert , E. Kermarrec , C. Payen , C. Guillot-Deudon , P. Bonville , C. Baines , H. Luetkens , P. Mendels

We propose a simple family of valence-bond crystals as potential ground states of the $S=1/2$ and $S=1$ Heisenberg antiferromagnet on the pyrochlore lattice. Exponentially numerous in the linear size of the system, these can be visualized…

Strongly Correlated Electrons · Physics 2023-09-04 Robin Schäfer , Benedikt Placke , Owen Benton , Roderich Moessner

We analyze the thermodynamic properties of the spin-S two-dimensional quantum Heisenberg antiferromagnet on a square lattice with nearest and next-nearest neighbor couplings in the Neel phase (J_2/J_1<0.4) employing the quantum hierarchical…

Strongly Correlated Electrons · Physics 2009-11-11 Leonardo Spanu , Alberto Parola

Employing complementary torque magnetometry and electron spin resonance on single crystals of herbertsmithite, the closest realization to date of a quantum kagome antiferromagnet featuring a spin-liquid ground state, we provide novel…

Strongly Correlated Electrons · Physics 2017-01-06 A. Zorko , M. Herak , M. Gomilšek , J. van Tol , M. Velázquez , P. Khuntia , F. Bert , P. Mendels

An infinite triangular lattice of classical dipolar spins is usually considered to have a ferromagnetic ground state. We examine the validity of this statement for finite lattices and in the limit of large lattices. We find that the ground…

Statistical Mechanics · Physics 2007-05-23 Paolo Politi , Maria Gloria Pini , R. L. Stamps

The Lieb-Mattis theorem about antiferromagnetic ordering of energy levels on bipartite lattices is generalized to finite-size two-leg spin-1/2 ladder model frustrated by diagonal interactions. For reflection-symmetric model with…

Strongly Correlated Electrons · Physics 2007-07-01 Tigran Hakobyan

Spin-$S$ Heisenberg quantum antiferromagnets on the Kagome lattice offer, when placed in a magnetic field, a fantastic playground to observe exotic phases of matter with (magnetic analogs of) superfluid, charge, bond or nematic orders, or a…

Strongly Correlated Electrons · Physics 2016-02-24 Thibaut Picot , Marc Ziegler , Roman Orus , Didier Poilblanc

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