Phases and quantum phase transitions in an anisotropic ferromagnetic Kitaev-Heisenberg-
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 magnet

Nanda, Animesh; Dhochak, Kusum; Bhattacharjee, Subhro

doi:10.1103/physrevb.102.235124

Cited by 8 publications

(1 citation statement)

References 146 publications

(185 reference statements)

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“…There is theoretical evidence of U (1) quantum spin liquid (QSL) in the intermediate field regime, with gapless excitations whose nature is still debated (for reviews see [43][44][45][46]). Our understanding of the constituent gauge and matter excitations in the Kitaev model with other interactions [47][48][49][50][51][52][53][54] and external perturbations are gradually evolving [55][56][57][58][59][60]. In particular, the behavior of the gauge fluxes is not explicitly investigated in the previous numerical studies at finite magnetic fields, and hence their role on the corresponding phases remained unknown.…”

Section: Introductionmentioning

confidence: 99%

Emergent glassiness in disorder-free Kitaev model

Yogendra¹,

Das²,

Baskaran³

2023

Preprint

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A recent experiment shows surprising glass-like features [npj Quantum Materials 6, 1 (2021)] in the nearly disorder-free α-RuCl3, a Kitaev spin liquid candidate, at low temperatures in the intermediate magnetic field region. Inspired by this experiment, we study the Kitaev model within the density-matrix renormalization group (DMRG) method in the presence of a magnetic field at zero temperature. We find five distinct phases with increasing magnetic field, which are characterized by a homogeneous flux phase, the Z2 vortex gas, solid and emergent glass phase in the so-called U (1) spin liquid region, and finally a spin-polarized phase. The emergent glassiness is confirmed by calculating correlation functions as well as ground state fidelity, showing a plethora of energetically accessible orthogonal saddle points corresponding to different flux configurations. Taking our result together with previous theories of emergent glassiness in disorder-free quantum many-body systems, we propose that glassiness is intrinsic to disorder-free generic quantum spin liquids.

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Section: Introductionmentioning

confidence: 99%

Emergent glassiness in disorder-free Kitaev model

Yogendra¹,

Das²,

Baskaran³

2023

Preprint

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Weak-coupling to strong-coupling quantum criticality crossover in a Kitaev quantum spin liquid α-RuCl3

Han¹,

Do²,

Choi³

et al. 2023

npj Quantum Mater.

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We report a quantum criticality crossover representing two different universal scaling behaviors in a Kitaev quantum magnetic material α-RuCl3. α-RuCl3 presents both a symmetry-breaking antiferromagnetic order and a long-range entangled topological order of a quantum spin liquid, and thus could be a candidate system for a unique universality class involving deconfined fractionalized excitations of the local Z2 fluxes and itinerant Majorana fermions. Theoretical analyses on the inelastic neutron scattering, ac-magnetic susceptibility, and specific heat results demonstrate that Wilson–Fisher-Yukawa-type ‘conventional’ weak-coupling quantum criticality in high-energy scales crosses over to heavy-fermion-type ‘local’ strong-coupling one in low-energy scales. Our findings provide deep insight on how quantum criticality evolves in fermion-boson coupled topological systems with different types of deconfined fermions.

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Deciphering competing interactions of Kitaev-Heisenberg-Γ system in clusters: II. Dynamics of Majorana fermions

Moonsun Pervez,

Mandal

2024

J. Phys.: Condens. Matter

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We perform a systematic and exact study of Majorana fermion dynamics in the Kitaev-Heisenberg-$\Gamma$ model in a few finite-size clusters increasing in size up to twelve sites. We employ exact Jordan-Wigner transformations to evaluate certain measures of Majorana fermion correlation functions, which effectively capture matter and gauge Majorana fermion dynamics in different parameter regimes. An external magnetic field is shown to produce a profound effect on gauge fermion dynamics. Depending on certain non-zero choices of other non-Kitaev interactions, it can stabilise it to its non-interacting Kitaev limit. For all the parameter regimes, gauge fermions are seen to have slower dynamics, which could help build approximate decoupling schemes for appropriate mean-field theory. The probability of Majorana fermions returning to their original starting site shows that the Kitaev model in small clusters can be used as a test bed for the quantum speed limit.

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Phases and quantum phase transitions in an anisotropic ferromagnetic Kitaev-Heisenberg- Γ magnet

Cited by 8 publications

References 146 publications

Emergent glassiness in disorder-free Kitaev model

Emergent glassiness in disorder-free Kitaev model

Weak-coupling to strong-coupling quantum criticality crossover in a Kitaev quantum spin liquid α-RuCl3

Deciphering competing interactions of Kitaev-Heisenberg-Γ system in clusters: II. Dynamics of Majorana fermions

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