English
Related papers

Related papers: Valence bond fluctuations in the Kitaev spin model

200 papers

The ground state of the uniform antiferromagnetic spin-1/2 Heisenberg chain can be viewed as a strongly fluctuating liquid of valence bonds, while in disordered chains these bonds lock into random singlet states on long length scales. We…

Disordered Systems and Neural Networks · Physics 2011-10-18 Huan Tran , N. E. Bonesteel

We extend the definition of the recently introduced valence bond entanglement entropy to arbitrary SU(2) wave functions of S=1/2 spin systems. Thanks to a reformulation of this entanglement measure in terms of a projection, we are able to…

Strongly Correlated Electrons · Physics 2010-10-28 Fabien Alet , Ian P. McCulloch , Sylvain Capponi , Matthieu Mambrini

We investigate an S=3/2 quantum spin model on a two-dimensional honeycomb lattice that continuously interpolates between two paradigmatic quantum disordered states with distinct entanglement structures: the Kitaev quantum spin liquid and…

Strongly Correlated Electrons · Physics 2026-04-28 Sogen Ikegami , Kiyu Fukui , Rico Pohle , Yukitoshi Motome

The Kitaev honeycomb model supports gapless and gapped quantum spin liquid phases. Its exact solvability relies on extensively many locally conserved quantities. Any real-world manifestation of these phases would include imperfections in…

Strongly Correlated Electrons · Physics 2025-01-30 Ihor Yatsuta , David F. Mross

We introduce for SU(2) quantum spin systems the Valence Bond Entanglement Entropy as a counting of valence bond spin singlets shared by two subsystems. For a large class of antiferromagnetic systems, it can be calculated in all dimensions…

Strongly Correlated Electrons · Physics 2009-11-13 Fabien Alet , Sylvain Capponi , Nicolas Laflorencie , Matthieu Mambrini

We study the effects of quantum fluctuations on the dynamical generation of a gap and on the evolution of the spin-wave spectra of a frustrated magnet on a triangular lattice with bond-dependent Ising couplings, analog of the Kitaev…

Strongly Correlated Electrons · Physics 2018-05-01 Adolfo Avella , Andrea Di Ciolo , George Jackeli

Every singlet state of a quantum spin 1/2 system can be decomposed into a linear combination of valence bond basis states. The range of valence bonds within this linear combination as well as the correlations between them can reveal the…

Strongly Correlated Electrons · Physics 2014-04-11 David Schwandt , Fabien Alet , Masaki Oshikawa

Bipartite fluctuations can provide interesting information about entanglement properties and correlations in many-body quantum systems. We address such fluctuations in relation with the topology of Dirac and Weyl quantum systems, in…

Strongly Correlated Electrons · Physics 2019-02-27 Loïc Herviou , Karyn Le Hur , Christophe Mora

Bipartite charge fluctuations (BCF) have been introduced to provide an experimental indication of many-body entanglement. They have proved themselves to be a very efficient and useful tool to characterize quantum phase transitions in a…

Strongly Correlated Electrons · Physics 2017-10-04 Loic Herviou , Christophe Mora , Karyn Le Hur

In one dimension very general results from conformal field theory and exact calculations for certain quantum spin systems have established universal scaling properties of the entanglement entropy between two parts of a critical system.…

Statistical Mechanics · Physics 2013-05-29 H. Francis Song , Stephan Rachel , Karyn Le Hur

Motivated by the growing interest in spin liquids and topological phases, as well as the rise of deformation engineering, we study the combined effects of deformation and magnetic fields on the honeycomb Kitaev model. The Kitaev model, as…

Strongly Correlated Electrons · Physics 2026-05-20 Abdullah AlJishi , Ali AlSwaid , Moayad Ekhwan , Hocine Bahlouli , Raditya Weda Bomantara , Michael Vogl

The main question we address is how to probe the fractionalized excitations of a quantum spin liquid (QSL), for example, in the Kitaev honeycomb model. By analyzing the energy spectrum and entanglement entropy, for antiferromagnetic…

Strongly Correlated Electrons · Physics 2019-05-08 David C. Ronquillo , Adu Vengal , Nandini Trivedi

The entanglement of different parts of a quantum system is expected to be proportional to the common interface area. Therefore alterations across the interface will lead to changes on the behavior of entanglement entropy. In this work, the…

Statistical Mechanics · Physics 2021-12-08 Dalson Eloy Almeida

We study the quantum spin liquid phase in a variant of the Kitaev model where the bonds of the honeycomb lattice are distributed in a Kekul\'e pattern. The system supports gapped and gapless Z_2 quantum spin liquids with interesting…

Strongly Correlated Electrons · Physics 2015-04-22 Eoin Quinn , Subhro Bhattacharjee , Roderich Moessner

It is well known that in quantum spin liquids and other magnetically disordered systems, the tunneling amplitudes between different nearest-neighbor valence bond (NNVB) configurations drop exponentially in the length L of the tunneling…

Strongly Correlated Electrons · Physics 2016-03-01 Arnaud Ralko , Ioannis Rousochatzakis

Motivated by recent experiments on $\alpha$-RuCl$_3$, we investigate a possible quantum spin liquid ground state of the honeycomb-lattice spin model with bond-dependent interactions. We consider the $K-\Gamma$ model, where $K$ and $\Gamma$…

Strongly Correlated Electrons · Physics 2018-02-15 Matthias Gohlke , Gideon Wachtel , Youhei Yamaji , Frank Pollmann , Yong Baek Kim

A prominent feature of quantum spin liquids is fractionalization of the spin degree of freedom. Fractionalized excitations have their own dynamics in different energy scales, and hence, affect finite-temperature ($T$) properties in a…

Strongly Correlated Electrons · Physics 2017-08-04 Junki Yoshitake , Joji Nasu , Yasuyuki Kato , Yukitoshi Motome

The exactly-solvable Kitaev model of two-dimensional honeycomb magnet leads to a quantum spin liquid (QSL) characterized by Majorana fermions, relevant for fault-tolerant topological quantum computations. In the high-field paramagnetic…

Strongly Correlated Electrons · Physics 2022-09-13 O. Tanaka , Y. Mizukami , R. Harasawa , K. Hashimoto , K. Hwang , N. Kurita , H. Tanaka , S. Fujimoto , Y. Matsuda , E. -G. Moon , T. Shibauchi

We investigate the von Neumann entanglement entropy and Schmidt gap in the ground state of the Kitaev model on the honeycomb lattice for square and cylindrical subsystems. We find that, for both the subsystems, the free-fermionic…

Strongly Correlated Electrons · Physics 2016-07-26 Saptarshi Mandal , Moitri Maiti , Vipin Kerala Varma

The valence-bond structure of spin-1/2 Heisenberg antiferromagnets is closely related to quantum entanglement. We investigate measures of entanglement entropy based on transition graphs, which characterize state overlaps in the overcomplete…

Strongly Correlated Electrons · Physics 2010-12-27 Yu-Cheng Lin , Anders W. Sandvik
‹ Prev 1 2 3 10 Next ›