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The dynamical structure factor of the transverse field Ising model (TFIM) shows universal power-law divergence at its quantum critical point, signatures of which have been arguably observed in inelastic neutron scattering studies of quantum…

Strongly Correlated Electrons · Physics 2025-06-24 Uliana E. Khodaeva , Dmitry L. Kovrizhin , Johannes Knolle

For many years, CoNb$_2$O$_6$ has served as an exemplar of the one-dimensional Ising model. However, recent experimental and theoretical analyses challenge its applicability to this material. Prior to that, a tailored spin model for 3d$^7$…

Strongly Correlated Electrons · Physics 2025-01-20 Derek Churchill , Hae-Young Kee

We investigate the generic features of the low energy dynamical spin structure factor of the Kitaev honeycomb quantum spin liquid perturbed away from its exact soluble limit by generic symmetry-allowed exchange couplings. We find that the…

Strongly Correlated Electrons · Physics 2016-07-20 Xue-Yang Song , Yi-Zhuang You , Leon Balents

Combining quantum Monte Carlo simulations with the maximum entropy method, we study the dynamical structure factor $S(k,\omega)$ of spin-1/2 antiferromagnetic Heisenberg chains with various random bond distributions. We emphasize the…

Strongly Correlated Electrons · Physics 2011-02-03 Zhaoxin Xu , Heping Ying , Xin Wan

The Ising chain in transverse field is a paradigmatic model for a host of physical phenomena, including spontaneous symmetry breaking, topological defects, quantum criticality, and duality. Although the quasi-1D ferromagnet CoNb$_2$O$_6$…

Incommensurate spiral order is a common occurrence in frustrated magnetic insulators. Typically, all magnetic moments rotate uniformly, through the same wavevector. However the honeycomb iridates family Li2IrO3 shows an incommensurate order…

Strongly Correlated Electrons · Physics 2016-11-23 Itamar Kimchi , Radu Coldea

The Ising chain in a transverse field stands out as a paradigmatic example for a quantum phase transition. CoNb$_2$O$_6$ has been discussed as a material realization of this physics, but it was later realized that its magnetic exchange…

Strongly Correlated Electrons · Physics 2026-04-27 Tom Drechsler , Matthias Vojta

We examine dynamic structure factors of spin-1/2 chains with nearest-neighbor interactions of XX and Dzyaloshinskii-Moriya type, and with periodic and random changes in the sign of these interactions. This special kind of inhomogeneity can…

Strongly Correlated Electrons · Physics 2008-02-05 Taras Verkholyak , Oleg Derzhko , Taras Krokhmalskii , Joachim Stolze

The key to unraveling intriguing phenomena observed in various Kitaev materials lies in understanding the interplay of Kitaev ($K$) interaction and a symmetric off-diagonal $\Gamma$ interaction. To provide insight into the challenging…

Strongly Correlated Electrons · Physics 2021-07-15 Qiang Luo , Jize Zhao , Xiaoqun Wang , Hae-Young Kee

Recently, realizations of Kitaev physics have been sought in the A2IrO3 family of honeycomb iridates, originating from oxygen-mediated exchange through edge-shared octahedra. However, for the j = 1/2 Mott insulator in these materials…

Strongly Correlated Electrons · Physics 2014-03-18 Jeffrey G. Rau , Eric Kin-Ho Lee , Hae-Young Kee

We compute the low-energy excitation spectrum and the dynamical spin structure factor of the Kitaev-Heisenberg-Gamma model through a variational approach based on the exact fractionalized excitations of the pure Kitaev honeycomb model. This…

Strongly Correlated Electrons · Physics 2021-07-21 Shang-Shun Zhang , Gábor B. Halász , Wei Zhu , Cristian D. Batista

We consider the anisotropic Heisenberg spin-1/2 chain in a transverse magnetic field at zero temperature. We first determine all components of the dynamical structure factor by combining exact results with a mean-field approximation…

Strongly Correlated Electrons · Physics 2009-11-10 J. S. Caux , F. H. L. Essler , U. Loew

We study the spin-spin correlations in two distinct random critical XX spin-1/2 chain models via exact diagonalization. For the well-known case of uncorrelated random coupling constants, we study the non-universal numerical prefactors and…

Disordered Systems and Neural Networks · Physics 2020-01-29 João C. Getelina , José A. Hoyos

The identification of microscopic models describing the low-energy properties of correlated materials has been a central goal of spectroscopic measurements. We demonstrate how 2D non-linear spectroscopy can be used to distinguish effective…

Strongly Correlated Electrons · Physics 2023-12-12 GiBaik Sim , Frank Pollmann , Johannes Knolle

The study of CoNb$_2$O$_6$ sits at the confluence of simplicity and complexity: on one hand, the model for Ising chains -- the building blocks of CoNb$_2$O$_6$ -- in a transverse field, can be exactly solved and, thus, serves as an…

Strongly Correlated Electrons · Physics 2022-05-31 Y. Xu , L. S. Wang , Y. Y. Huang , J. M. Ni , C. C. Zhao , Y. F. Dai , B. Y. Pan , X. C. Hong , P. Chauhan , S. M. Koohpayeh , N. P. Armitage , S. Y. Li

We investigate the dynamic structure factor of the antiferromagnetic Kitaev honeycomb model in a magnetic field by applying perturbative continuous unitary transformations about the high-field limit. One- and two-quasiparticle properties of…

Strongly Correlated Electrons · Physics 2022-12-07 A. Schellenberger , M. Hörmann , K. P. Schmidt

We combine tensor-network approaches and high-order linked-cluster expansions to investigate the quantum phase diagram of the antiferromagnetic Kitaev's honeycomb model in a magnetic field for general spin values. For the pure Kitaev model,…

Strongly Correlated Electrons · Physics 2024-10-08 Saeed S. Jahromi , Max Hörmann , Patrick Adelhardt , Sebastian Fey , Hooman Karamnejad , Roman Orus , Kai Phillip Schmidt

Kitaev's model of spins interacting on a honeycomb lattice describes a quantum spin-liquid, where an emergent static $\mathbb{Z}_2$ gauge field is coupled to Majorana fermions. In the presence of an external magnetic field and for a range…

Strongly Correlated Electrons · Physics 2019-01-21 Daniel Otten , Ananda Roy , Fabian Hassler

The exact solution of Kitaev's spin-$1/2$ honeycomb spin-liquid model has sparked an intense search for Mott insulators hosting bond-dependent Kitaev interactions, of which $\mathrm{Na}_{2}\mathrm{IrO}_{3}$ and $\alpha-\mathrm{RuCl}_{3}$…

Strongly Correlated Electrons · Physics 2020-11-04 Pedro M. Cônsoli , Lukas Janssen , Matthias Vojta , Eric C. Andrade

The theoretical inception of the Kitaev honeycomb model has had defining influence on the experimental hunt for quantum spin liquids, bringing unprecedented focus onto the synthesis of materials with bond-directional interactions. Numerous…

Strongly Correlated Electrons · Physics 2021-05-11 Finn Lasse Buessen , Yong Baek Kim
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