DataSheet1_Physics of the Edwards–Anderson spin glass in dimensions d = 3, … ,8 from heuristic ground state optimization.pdf
<p>We present a collection of simulations of the Edwards–Anderson lattice spin glass at T=0 to elucidate the nature of low-energy excitations over a range of dimensions that reach from physically realizable systems to the mean-field limit. Using heuristic methods, we sample the ground states o...
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2024
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| _version_ | 1852026498427387904 |
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| author | Stefan Boettcher (1967968) |
| author_facet | Stefan Boettcher (1967968) |
| author_role | author |
| dc.creator.none.fl_str_mv | Stefan Boettcher (1967968) |
| dc.date.none.fl_str_mv | 2024-09-20T04:21:03Z |
| dc.identifier.none.fl_str_mv | 10.3389/fphy.2024.1466987.s001 |
| dc.relation.none.fl_str_mv | https://figshare.com/articles/dataset/DataSheet1_Physics_of_the_Edwards_Anderson_spin_glass_in_dimensions_d_3_8_from_heuristic_ground_state_optimization_pdf/27072691 |
| dc.rights.none.fl_str_mv | CC BY 4.0 info:eu-repo/semantics/openAccess |
| dc.subject.none.fl_str_mv | Biophysics Astrophysics Applied Physics Computational Physics Condensed Matter Physics Particle Physics Plasma Physics Solar System, Solar Physics, Planets and Exoplanets Classical and Physical Optics Photonics, Optoelectronics and Optical Communications Cloud Physics Tropospheric and Stratospheric Physics High Energy Astrophysics; Cosmic Rays Mesospheric, Ionospheric and Magnetospheric Physics Space and Solar Physics Mathematical Physics not elsewhere classified Physical Chemistry of Materials Physical Chemistry not elsewhere classified Classical Physics not elsewhere classified Condensed Matter Physics not elsewhere classified Quantum Physics not elsewhere classified Edwards–Anderson spin glass critical dimension domain wall excitations ground-state energies percolation heuristic algorithms |
| dc.title.none.fl_str_mv | DataSheet1_Physics of the Edwards–Anderson spin glass in dimensions d = 3, … ,8 from heuristic ground state optimization.pdf |
| dc.type.none.fl_str_mv | Dataset info:eu-repo/semantics/publishedVersion dataset |
| description | <p>We present a collection of simulations of the Edwards–Anderson lattice spin glass at T=0 to elucidate the nature of low-energy excitations over a range of dimensions that reach from physically realizable systems to the mean-field limit. Using heuristic methods, we sample the ground states of instances to determine their energies while eliciting excitations through manipulating boundary conditions. We exploit the universality of the phase diagram of bond-diluted lattices to make such a study in higher dimensions computationally feasible. As a result, we obtain a variety of accurate exponents for domain wall stiffness and finite-size corrections, which allow us to examine their dimensional behavior and their connection with predictions from mean-field theory. We also provide an experimentally testable prediction for the thermal-to-percolative crossover exponent in dilute lattice Ising spin glasses.</p> |
| eu_rights_str_mv | openAccess |
| id | Manara_2c890646d2fbfb5980b3e46181d2ec36 |
| identifier_str_mv | 10.3389/fphy.2024.1466987.s001 |
| network_acronym_str | Manara |
| network_name_str | ManaraRepo |
| oai_identifier_str | oai:figshare.com:article/27072691 |
| publishDate | 2024 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| rights_invalid_str_mv | CC BY 4.0 |
| spelling | DataSheet1_Physics of the Edwards–Anderson spin glass in dimensions d = 3, … ,8 from heuristic ground state optimization.pdfStefan Boettcher (1967968)BiophysicsAstrophysicsApplied PhysicsComputational PhysicsCondensed Matter PhysicsParticle PhysicsPlasma PhysicsSolar System, Solar Physics, Planets and ExoplanetsClassical and Physical OpticsPhotonics, Optoelectronics and Optical CommunicationsCloud PhysicsTropospheric and Stratospheric PhysicsHigh Energy Astrophysics; Cosmic RaysMesospheric, Ionospheric and Magnetospheric PhysicsSpace and Solar PhysicsMathematical Physics not elsewhere classifiedPhysical Chemistry of MaterialsPhysical Chemistry not elsewhere classifiedClassical Physics not elsewhere classifiedCondensed Matter Physics not elsewhere classifiedQuantum Physics not elsewhere classifiedEdwards–Anderson spin glasscritical dimensiondomain wall excitationsground-state energiespercolationheuristic algorithms<p>We present a collection of simulations of the Edwards–Anderson lattice spin glass at T=0 to elucidate the nature of low-energy excitations over a range of dimensions that reach from physically realizable systems to the mean-field limit. Using heuristic methods, we sample the ground states of instances to determine their energies while eliciting excitations through manipulating boundary conditions. We exploit the universality of the phase diagram of bond-diluted lattices to make such a study in higher dimensions computationally feasible. As a result, we obtain a variety of accurate exponents for domain wall stiffness and finite-size corrections, which allow us to examine their dimensional behavior and their connection with predictions from mean-field theory. We also provide an experimentally testable prediction for the thermal-to-percolative crossover exponent in dilute lattice Ising spin glasses.</p>2024-09-20T04:21:03ZDatasetinfo:eu-repo/semantics/publishedVersiondataset10.3389/fphy.2024.1466987.s001https://figshare.com/articles/dataset/DataSheet1_Physics_of_the_Edwards_Anderson_spin_glass_in_dimensions_d_3_8_from_heuristic_ground_state_optimization_pdf/27072691CC BY 4.0info:eu-repo/semantics/openAccessoai:figshare.com:article/270726912024-09-20T04:21:03Z |
| spellingShingle | DataSheet1_Physics of the Edwards–Anderson spin glass in dimensions d = 3, … ,8 from heuristic ground state optimization.pdf Stefan Boettcher (1967968) Biophysics Astrophysics Applied Physics Computational Physics Condensed Matter Physics Particle Physics Plasma Physics Solar System, Solar Physics, Planets and Exoplanets Classical and Physical Optics Photonics, Optoelectronics and Optical Communications Cloud Physics Tropospheric and Stratospheric Physics High Energy Astrophysics; Cosmic Rays Mesospheric, Ionospheric and Magnetospheric Physics Space and Solar Physics Mathematical Physics not elsewhere classified Physical Chemistry of Materials Physical Chemistry not elsewhere classified Classical Physics not elsewhere classified Condensed Matter Physics not elsewhere classified Quantum Physics not elsewhere classified Edwards–Anderson spin glass critical dimension domain wall excitations ground-state energies percolation heuristic algorithms |
| status_str | publishedVersion |
| title | DataSheet1_Physics of the Edwards–Anderson spin glass in dimensions d = 3, … ,8 from heuristic ground state optimization.pdf |
| title_full | DataSheet1_Physics of the Edwards–Anderson spin glass in dimensions d = 3, … ,8 from heuristic ground state optimization.pdf |
| title_fullStr | DataSheet1_Physics of the Edwards–Anderson spin glass in dimensions d = 3, … ,8 from heuristic ground state optimization.pdf |
| title_full_unstemmed | DataSheet1_Physics of the Edwards–Anderson spin glass in dimensions d = 3, … ,8 from heuristic ground state optimization.pdf |
| title_short | DataSheet1_Physics of the Edwards–Anderson spin glass in dimensions d = 3, … ,8 from heuristic ground state optimization.pdf |
| title_sort | DataSheet1_Physics of the Edwards–Anderson spin glass in dimensions d = 3, … ,8 from heuristic ground state optimization.pdf |
| topic | Biophysics Astrophysics Applied Physics Computational Physics Condensed Matter Physics Particle Physics Plasma Physics Solar System, Solar Physics, Planets and Exoplanets Classical and Physical Optics Photonics, Optoelectronics and Optical Communications Cloud Physics Tropospheric and Stratospheric Physics High Energy Astrophysics; Cosmic Rays Mesospheric, Ionospheric and Magnetospheric Physics Space and Solar Physics Mathematical Physics not elsewhere classified Physical Chemistry of Materials Physical Chemistry not elsewhere classified Classical Physics not elsewhere classified Condensed Matter Physics not elsewhere classified Quantum Physics not elsewhere classified Edwards–Anderson spin glass critical dimension domain wall excitations ground-state energies percolation heuristic algorithms |