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We study the nonlinear response of non-integrable 1D spin models using infinite matrix-product state techniques. As a benchmark and demonstration of the method, we first calculate the 2D coherent spectroscopy for the exactly soluble…

Strongly Correlated Electrons · Physics 2023-03-29 GiBaik Sim , Johannes Knolle , Frank Pollmann

Detecting Kitaev interactions in real materials remains challenge, as conventional experimental techniques often have difficulty distinguishing fractionalized excitations from other normal contributions. Terahertz two-dimensional coherent…

Strongly Correlated Electrons · Physics 2025-12-24 Ya-Min Quan , Shi-Qing Jia , Xiang-Long Yu , Hai-Qing Lin , Liang-Jian Zou

Two-dimensional coherent spectroscopy (2DCS) is an established method for characterizing molecules and has been proposed in the THz regime as a new tool for probing exotic excitations of quantum magnets; however, the precise nature of the…

Strongly Correlated Electrons · Physics 2025-02-26 Anubhav Srivastava , Stefan Birnkammer , GiBaik Sim , Michael Knap , Johannes Knolle

We study nonlinear response in quantum spin systems {near infinite-randomness critical points}. Nonlinear dynamical probes, such as two-dimensional (2D) coherent spectroscopy, can diagnose the nearly localized character of excitations in…

Disordered Systems and Neural Networks · Physics 2020-12-17 S. A. Parameswaran , Sarang Gopalakrishnan

The exact solution of ferromagnetic two-dimensional (2D) Ising model with a transverse field, which can be used to describe the critical phenomena in low-dimensional quantum spin systems, is derived by equivalence between the ferromagnetic…

Statistical Mechanics · Physics 2025-01-07 Zhidong Zhang

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

Motivated by the on-going discussion on the nature of magnetism in the quantum Ising chain CoNb$_2$O$_6$, we present a first-principles-based analysis of its exchange interactions by applying an \textit{ab initio} approach with additional…

Strongly Correlated Electrons · Physics 2024-06-27 Amanda A. Konieczna , David A. S. Kaib , Stephen M. Winter , Roser Valentí

We analyze the quantum phases, correlation functions and edge modes for a class of spin-1/2 and fermionic models related to the 1D Ising chain in the presence of a transverse field. These models are the Ising chain with anti-ferromagnetic…

Strongly Correlated Electrons · Physics 2015-12-29 Davide Vodola , Luca Lepori , Elisa Ercolessi , Guido Pupillo

We show that the new technique of terahertz 2D coherent spectroscopy is capable of giving qualitatively new information about fractionalized spin systems. For the prototypical example of the transverse field Ising chain, we demonstrate…

Strongly Correlated Electrons · Physics 2021-12-15 Yuan Wan , N. P. Armitage

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

With recent advances in terahertz (THz) sources and detection, two-dimensional coherent spectroscopy (2DCS), which allows to probe nonlinear responses in a two-frequency plane, now reaches the meV regime relevant for quasiparticle…

Strongly Correlated Electrons · Physics 2025-12-19 Yoshito Watanabe , Simon Trebst , Ciarán Hickey

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$_6$…

Bond-dependent magnetic interactions, particularly those described by the Kitaev model, have emerged as a key pathway toward realizing unconventional magnetic states such as quantum spin liquids and topologically nontrivial excitations,…

We study the statistical properties of Ising spin chains with finite (although arbitrary large) range of interaction between the elements. We examine mesoscopic subsystems (fragments of an Ising chain) with the lengths comparable with the…

Statistical Mechanics · Physics 2009-11-13 S. S. Apostolov , Z. A. Mayzelis , O. V. Usatenko , V. A. Yampol'skii

The interaction between microscopic particles has always been a fascinating and intriguing area of science. Direct interrogation of such interactions is often difficult or impossible. Structured electromagnetic systems offer a rich toolkit…

We study classical Ising spin-$\frac{1}{2}$ models on the 2D square lattice with ferromagnetic or antiferromagnetic nearest-neighbor interactions, under the effect of a pure imaginary magnetic field. The complex Boltzmann weights of spin…

Statistical Mechanics · Physics 2023-06-27 Roman Krčmár , Andrej Gendiar , Ladislav Šamaj

We analyse the dynamical response of a range of 3D Kitaev quantum spin-liquids, using lattice models chosen to explore the different possible low-energy spectra for gapless Majorana fermions, with either Fermi surfaces, nodal lines or Weyl…

Strongly Correlated Electrons · Physics 2016-06-29 A. Smith , J. Knolle , D. L. Kovrizhin , J. T. Chalker , R. Moessner

Unambiguous identification of fractionalized excitations in quantum spin liquids has been a long-standing issue in correlated topological phases. Conventional spectroscopic probes, such as the dynamical spin structure factor, can only…

Strongly Correlated Electrons · Physics 2021-10-11 Wonjune Choi , Ki Hoon Lee , Yong Baek Kim

To investigate the novel quantum dynamic behaviors of magnetic materials that arise from complex spin-spin interactions, it is necessary to probe the magnetic response at a speed greater than the spin-relaxation and dephasing processes.…

Mesoscale and Nanoscale Physics · Physics 2023-07-19 Jiaji Zhang , Yoshitaka Tanimura

In a recent paper Coldea et al (2010 Science {\bf 327} 177) report observation of the weak confinement of kinks in the Ising spin chain ferromagnet CoNb2O6 at low temperatures. To interpret the entire spectra of magnetic excitations…

Statistical Mechanics · Physics 2015-03-13 S. B. Rutkevich
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