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Title: Signatures of magnetic-field-driven quantum phase transitions in the entanglement entropy and spin dynamics of the Kitaev honeycomb model

Abstract

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. Here, by analyzing the energy spectrum and entanglement entropy, for antiferromagnetic couplings and a field along either [111] or [001], we find a gapless QSL phase sandwiched between the non-Abelian Kitaev QSL and polarized phases. Increasing the field strength towards the polarized limit destroys this intermediate QSL phase, resulting in a considerable reduction in the number of frequency modes and the emergence of a beating pattern in the local dynamical correlations, possibly observable in pump-probe experiments.

Authors:
 [1];  [1];  [1]
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  1. The Ohio State Univ., Columbus, OH (United States)
Publication Date:
Research Org.:
The Ohio State Univ., Columbus, OH (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1609874
Alternate Identifier(s):
OSTI ID: 1509762
Grant/Contract Number:  
FG02-07ER46423
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review. B
Additional Journal Information:
Journal Volume: 99; Journal Issue: 14; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; materials science; physics; frustrated magnetism; quantum spin liquid; honeycomb lattice; Mott insulators; exact solutions for many-body systems; Kitaev model; lattice models in condensed matter; terahertz spectroscopy

Citation Formats

Ronquillo, David C., Vengal, Adu, and Trivedi, Nandini. Signatures of magnetic-field-driven quantum phase transitions in the entanglement entropy and spin dynamics of the Kitaev honeycomb model. United States: N. p., 2019. Web. doi:10.1103/physrevb.99.140413.
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Ronquillo, David C., Vengal, Adu, & Trivedi, Nandini. Signatures of magnetic-field-driven quantum phase transitions in the entanglement entropy and spin dynamics of the Kitaev honeycomb model. United States. https://doi.org/10.1103/physrevb.99.140413
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Ronquillo, David C., Vengal, Adu, and Trivedi, Nandini. Mon . "Signatures of magnetic-field-driven quantum phase transitions in the entanglement entropy and spin dynamics of the Kitaev honeycomb model". United States. https://doi.org/10.1103/physrevb.99.140413. https://www.osti.gov/servlets/purl/1609874.
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@article{osti_1609874,
title = {Signatures of magnetic-field-driven quantum phase transitions in the entanglement entropy and spin dynamics of the Kitaev honeycomb model},
author = {Ronquillo, David C. and Vengal, Adu and Trivedi, Nandini},
abstractNote = {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. Here, by analyzing the energy spectrum and entanglement entropy, for antiferromagnetic couplings and a field along either [111] or [001], we find a gapless QSL phase sandwiched between the non-Abelian Kitaev QSL and polarized phases. Increasing the field strength towards the polarized limit destroys this intermediate QSL phase, resulting in a considerable reduction in the number of frequency modes and the emergence of a beating pattern in the local dynamical correlations, possibly observable in pump-probe experiments.},
doi = {10.1103/physrevb.99.140413},
journal = {Physical Review. B},
number = 14,
volume = 99,
place = {United States},
year = {Mon Apr 29 00:00:00 EDT 2019},
month = {Mon Apr 29 00:00:00 EDT 2019}
}
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Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/physrevb.99.140413
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Cited by: 22 works
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Figures / Tables:

FIG. 1 FIG. 1: Energies of the lowest lying excitations of the AF case of Eq. 2 relative to the ground state energy vs. the field strength parameter θ for a field along (a) [111], (b) [001], and (c) [$\bar{1}$10] for a 24 site cluster. Panels (d), (e), and (f) show themore » topological entanglement entropy $S_{topo}$ for fields along [111], [001], and [$\bar{1}$10], respectively, for 18 site (red) and 24 site (black) clusters. The vertical red lines mark discontinuities in $S_{topo}$ that corroborate changes in the eigenvalue spectrum. Panels (d) and (e) show two distinct transitions from a gapped non-abelian Kiatev QSL at low field, to a new gapless QSL phase for intermediate fields, and finally to a gapped polarized phase at high fields. Panel (f) is consistent with a single transition, given finite size limitations.« less
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Works referenced in this record:

Field-induced quantum criticality in the Kitaev system α − RuCl 3
journal, July 2017

Zigzag Magnetic Order in the Iridium Oxide Na 2 IrO 3
journal, February 2013

Proximate Kitaev quantum spin liquid behaviour in a honeycomb magnet
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Heat capacity evidence for proximity to the Kitaev quantum spin liquid in A 2   IrO 3 ( A = Na , Li)
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journal, April 2017

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journal, May 2017

Observation of two types of fractional excitation in the Kitaev honeycomb magnet
journal, May 2018

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journal, June 2017

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journal, March 2018

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journal, February 2014

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journal, July 2018

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journal, July 2017

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journal, March 2012

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journal, June 2018

Gapless Spin Excitations in the Field-Induced Quantum Spin Liquid Phase of α − RuCl 3
journal, December 2017

Dynamical and topological properties of the Kitaev model in a [111] magnetic field
journal, July 2018

Anomalous Thermal Conductivity and Magnetic Torque Response in the Honeycomb Magnet α − RuCl 3
journal, May 2017

Non-Abelian anyons and topological quantum computation
journal, September 2008

Topological Entanglement Entropy
journal, March 2006

α − RuCl 3 : A spin-orbit assisted Mott insulator on a honeycomb lattice
journal, July 2014

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journal, August 2017

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journal, August 2010

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journal, September 2015

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Kitaev-Heisenberg Model on a Honeycomb Lattice: Possible Exotic Phases in Iridium Oxides A 2 IrO 3
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Observation of two types of fractional excitation in the Kitaev honeycomb magnet
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journal, October 1994

Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
journal, January 2009

Excitations in the field-induced quantum spin liquid state of α-RuCl3
text, January 2018

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Non-Abelian Anyons and Topological Quantum Computation
text, January 2007

Generic spin model for the honeycomb iridates beyond the Kitaev limit
text, January 2013

Challenges in Design of Kitaev Materials: Magnetic Interactions from Competing Energy Scales
text, January 2016

Dynamical and Topological Properties of the Kitaev Model in a [111] Magnetic Field
text, January 2018

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    Works referencing / citing this record:

    Magnetic field-induced intermediate quantum spin liquid with a spinon Fermi surface
    journal, May 2019

    • Patel, Niravkumar D.; Trivedi, Nandini
    • Proceedings of the National Academy of Sciences, Vol. 116, Issue 25
    • DOI: 10.1073/pnas.1821406116

    Antiferromagnetic Kitaev interaction in f -electron based honeycomb magnets
    journal, June 2019

    Antiferromagnetic Kitaev Interaction in $f$-Electron Based Honeycomb Magnets
    text, January 2018

    Magnetic field induced intermediate quantum spin-liquid with a spinon Fermi surface
    text, January 2018

    Microscopic mechanism for higher-spin Kitaev model
    text, January 2019

    Orbital Frustration and Emergent Flat Bands
    text, January 2021

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      Figures / Tables found in this record:

      FIG. 1 (p. 3)figure
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      FIG. 3 (p. 5)figure
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