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The breaking of chiral and time-reversal symmetries provides a pathway to exotic quantum phenomena and topological phases. In particular, the breaking of chiral (mirror) symmetry in quantum materials has been shown to have important…

Strongly Correlated Electrons · Physics 2023-02-13 Anjishnu Bose , Arijit Haldar , Erik S. Sørensen , Arun Paramekanti

Skyrmions represent topologically stable field configurations with particle-like properties. We used neutron scattering to observe the spontaneous formation of a two-dimensional lattice of skyrmion lines, a type of magnetic vortices, in the…

Strongly Correlated Electrons · Physics 2015-05-13 S. Mühlbauer , B. Binz , F. Jonietz , C. Pfleiderer , A. Rosch , A. Neubauer , R. Georgii , P. Böni

Multipolar spin systems provide a rich ground for the emergence of unexpected states of matter due to their enlarged spin degree of freedom. In this study, with a specific emphasis on $S=1$ magnets, we explore the interplay between spin…

Strongly Correlated Electrons · Physics 2024-08-06 Rico Pohle , Nic Shannon , Yukitoshi Motome

We present a set of {\em optimum ground states} for a large class of spin-$\frac{3}{2}$ chains. Such global ground states are simultaneously ground states of the local Hamiltonian, i.e. the nearest neighbour interaction in the present case.…

Condensed Matter · Physics 2009-10-28 H. Niggemann , J. Zittartz

Optimum ground states are constructed in two dimensions by using so called vertex state models. These models are graphical generalizations of the well-known matrix product ground states for spin chains. On the hexagonal lattice we obtain a…

Strongly Correlated Electrons · Physics 2009-10-30 H. Niggemann , A. Klümper , J. Zittartz

We show that a classical spin liquid phase can emerge from an ordered magnetic state in the two-dimensional frustrated Shastry-Sutherland Ising lattice due to lateral confinement. Two distinct classical spin liquid states are stabilized (i)…

Statistical Mechanics · Physics 2023-10-11 Pratik Brahma , Sayeef Salahuddin

Recent lattice studies of near-conformal strong dynamics suggest the existence of a light scalar. This provides motivation to consider a simple Hamiltonian-based bound-state model where the pseudoscalar, scalar, vector and axial-vector…

High Energy Physics - Phenomenology · Physics 2017-12-22 Bob Holdom , Roman Koniuk

In this exposition we investigate further the general methodology proposed in [Mo2] to study properties of the ground states of a translation invariant Hamiltonian for one lattice dimensional quantum spin chain $\cla=\otimes_{\IZ}M_d$,…

Mathematical Physics · Physics 2013-10-24 Anilesh Mohari

We investigate the complexity of the Hamiltonian in the pure $p$-spin spin glass model accompanied with a polynomial-type potential on $\mathbb{R}^N$. In this Hamiltonian, the Gaussian field is anisotropic, and the potential lacks…

Probability · Mathematics 2026-02-12 Wei-Kuo Chen , Te-Lun Lu , Arnab Sen

Chiral Higher Spin Gravity with cosmological constant is constructed as a Free Differential Algebra, i.e. at the level of equations of motion, which is a smooth deformation of its flat space cousin arXiv:2205.07794. Chiral Higher Spin…

High Energy Physics - Theory · Physics 2022-10-26 Alexey Sharapov , Evgeny Skvortsov

In this paper, we found a new type of insulator - composite spin liquid which can be regarded as a short range B-type topological spin-density-wave. Composite spin liquid is topological ordered state beyond the classification of traditional…

Strongly Correlated Electrons · Physics 2015-06-04 Jing He , Ying Liang , Su-Peng Kou

We argue that a relatively simple model containing only SU(2)-invariant chiral three-spin interactions on a Kagome lattice of S=1/2 spins can give rise to both a gapped and a gapless quantum spin liquid. Our arguments are rooted in a…

Strongly Correlated Electrons · Physics 2014-09-09 Bela Bauer , Brendan P. Keller , Michele Dolfi , Simon Trebst , Andreas W. W. Ludwig

We prove the existence of at least $cl(M)$ periodic orbits for certain time dependant Hamiltonian systems on the cotangent bundle of an arbitrary compact manifold $M$. These Hamiltonians are not necessarily convex but they satisfy a certain…

Dynamical Systems · Mathematics 2008-02-03 Christopher Golé

We use the matrix product formalism to find exact ground states of two new spin-1 quantum chains with nearest neighbor interactions. One of the models, model I, describes a one-parameter family of quantum chains for which the ground state…

Quantum Physics · Physics 2012-01-09 S. Alipour , V. Karimipour , L. Memarzadeh

Exact results in frustrated quantum many-body systems are rare, especially in dimensions higher than one. The Shastry-Sutherland (SS) model stands out as a rare example of a two-dimensional spin system with an exactly solvable dimer singlet…

Strongly Correlated Electrons · Physics 2025-07-21 Kelvin Salou-Smith , Arnaud Ralko , Ludovic D. C. Jaubert

We describe electron spin resonance in a quantum spin liquid with significant spin-orbit coupling. We find that the resonance directly probes spinon continuum which makes it an efficient and informative probe of exotic excitations of the…

Strongly Correlated Electrons · Physics 2018-01-23 Zhu-Xi Luo , Ethan Lake , Jia-Wei Mei , Oleg A. Starykh

Strongly correlated materials with strong spin-orbit coupling hold promise for realizing topological phases with fractionalized excitations. Here we propose a chiral spin-orbital liquid as a stable phase of a realistic model for…

Strongly Correlated Electrons · Physics 2016-07-04 W. M. H. Natori , E. C. Andrade , E. Miranda , R. G. Pereira

We derive an explicit Hamiltonian for copying the basis up and down states of a quantum two-state system - a qubit - onto n "copy" qubits initially all prepared in the down state. In terms of spin components, for spin-1/2 particle spin…

Quantum Physics · Physics 2014-11-18 Dima Mozyrsky , Vladimir Privman , Mark Hillery

We demonstrate that the insulating one-band Hubbard model on the pyrochlore lattice contains, for realistic parameters, an extended quantum spin-liquid phase. This is a three-dimensional spin liquid formed from a highly degenerate manifold…

Strongly Correlated Electrons · Physics 2014-05-28 B. Normand , Z. Nussinov

The pyrochlore iridates have become ideal platforms to unravel fascinating correlated and topolog?ical phenomena that stem from the intricate interplay among strong spin-orbit coupling, electronic correlations, lattice with geometric…