Confinement, reduced entanglement, and spin-glass order in a random quantum spin-ice model

Menon, Anirudha; Pardini, Tom; Singh, Rajiv R. P.

doi:10.1103/physrevb.101.184423

Title: Confinement, reduced entanglement, and spin-glass order in a random quantum spin-ice model

Abstract

In this work, we study an effective spin model derived perturbatively from a random transverse-field Ising model on the pyrochlore lattice. The model consists of spin configurations on the pyrochlore lattice, restricted to the spin-ice subspace, with spins interacting with random Ising exchange couplings as well as ring exchanges along the hexagons of the lattice. This model is studied by exact diagonalization up to N=64 site systems. Furthermore, we calculate spin-glass correlation functions and local entanglement entropy S_T between spins in a single tetrahedron and the rest of the system. We find that the model undergoes two phase transitions. At weak randomness the model is in a quantum spin-ice phase where S_T=ln 6. Increasing randomness, at low transverse fields, first leads to a frozen phase, with long-range spin-glass order and S_T=ln 2 corresponding to the Cat states associated with Ising order. Further increase in randomness leads to a random resonating-hexagon phase with a frozen backbone of spins and a broad distribution of entanglement entropies. The implications of these studies for non-Kramers rare-earth pyrochlores are discussed.

Authors:

^[1]; Pardini, Tom ^[2]; Singh, Rajiv R. P. ^[1]

Univ. of California, Davis, CA (United States)
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Publication Date:: Thu May 21 00:00:00 EDT 2020

Research Org.:: Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Sponsoring Org.:: USDOE National Nuclear Security Administration (NNSA); National Science Foundation (NSF)

OSTI Identifier:: 1642496

Report Number(s):: LLNL-JRNL-796781
Journal ID: ISSN 2469-9950; 996944; TRN: US2201912

Grant/Contract Number:: AC52-07NA27344; DMR 1855111; PHY 1748958

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review B

Additional Journal Information:: Journal Volume: 101; Journal Issue: 18; 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; Exotic phases of matter; magnetic phase transitions; phase diagrams; quantum entanglement; quantum phase transitions; spin glasses; spin lattice models

Citation Formats


                    Menon, Anirudha, Pardini, Tom, and Singh, Rajiv R. P. Confinement, reduced entanglement, and spin-glass order in a random quantum spin-ice model.  United States: N. p., 2020. 
Web.  doi:10.1103/physrevb.101.184423.

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                    Menon, Anirudha, Pardini, Tom, & Singh, Rajiv R. P. Confinement, reduced entanglement, and spin-glass order in a random quantum spin-ice model.  United States.  https://doi.org/10.1103/physrevb.101.184423

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                    Menon, Anirudha, Pardini, Tom, and Singh, Rajiv R. P. Thu .  
"Confinement, reduced entanglement, and spin-glass order in a random quantum spin-ice model".  United States.  https://doi.org/10.1103/physrevb.101.184423.  https://www.osti.gov/servlets/purl/1642496.

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@article{osti_1642496,

  title        = {Confinement, reduced entanglement, and spin-glass order in a random quantum spin-ice model},

  author       = {Menon, Anirudha and Pardini, Tom and Singh, Rajiv R. P.},

  abstractNote = {In this work, we study an effective spin model derived perturbatively from a random transverse-field Ising model on the pyrochlore lattice. The model consists of spin configurations on the pyrochlore lattice, restricted to the spin-ice subspace, with spins interacting with random Ising exchange couplings as well as ring exchanges along the hexagons of the lattice. This model is studied by exact diagonalization up to N=64 site systems. Furthermore, we calculate spin-glass correlation functions and local entanglement entropy ST between spins in a single tetrahedron and the rest of the system. We find that the model undergoes two phase transitions. At weak randomness the model is in a quantum spin-ice phase where ST=ln 6. Increasing randomness, at low transverse fields, first leads to a frozen phase, with long-range spin-glass order and ST=ln 2 corresponding to the Cat states associated with Ising order. Further increase in randomness leads to a random resonating-hexagon phase with a frozen backbone of spins and a broad distribution of entanglement entropies. The implications of these studies for non-Kramers rare-earth pyrochlores are discussed.},

  doi          = {10.1103/physrevb.101.184423},

  journal      = {Physical Review B},

  number       = 18,

  volume       = 101,

  place        = {United States},

  year         = {Thu May 21 00:00:00 EDT 2020},

  month        = {Thu May 21 00:00:00 EDT 2020}

}

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Title: Confinement, reduced entanglement, and spin-glass order in a random quantum spin-ice model

Abstract

Citation Formats

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Cluster-Glass Phase in Pyrochlore $X Y$ Antiferromagnets with Quenched Disorder
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