New Type of Quantum Criticality in the Pyrochlore Iridates

Magnetic fluctuations and electrons couple in intriguing ways in the vicinity of zero-temperature phase transitions—quantum critical points—in conducting materials. Quantum criticality is implicated in non-Fermi liquid behavior of diverse materials and in the formation of unconventional superconduct...

Full description

Bibliographic Details
Main Authors: Lucile Savary, Eun-Gook Moon, Leon Balents
Format: Article
Language:English
Published: American Physical Society 2014-11-01
Series:Physical Review X
Online Access:http://doi.org/10.1103/PhysRevX.4.041027
_version_ 1818399682149220352
author Lucile Savary
Eun-Gook Moon
Leon Balents
author_facet Lucile Savary
Eun-Gook Moon
Leon Balents
author_sort Lucile Savary
collection DOAJ
description Magnetic fluctuations and electrons couple in intriguing ways in the vicinity of zero-temperature phase transitions—quantum critical points—in conducting materials. Quantum criticality is implicated in non-Fermi liquid behavior of diverse materials and in the formation of unconventional superconductors. Here, we uncover an entirely new type of quantum critical point describing the onset of antiferromagnetism in a nodal semimetal engendered by the combination of strong spin-orbit coupling and electron correlations, and which is predicted to occur in the iridium oxide pyrochlores. We formulate and solve a field theory for this quantum critical point by renormalization group techniques and show that electrons and antiferromagnetic fluctuations are strongly coupled and that both these excitations are modified in an essential way. This quantum critical point has many novel features, including strong emergent spatial anisotropy, a vital role for Coulomb interactions, and highly unconventional critical exponents. Our theory motivates and informs experiments on pyrochlore iridates and constitutes a singular realistic example of a nontrivial quantum critical point with gapless fermions in three dimensions.
first_indexed 2024-12-14T07:24:33Z
format Article
id doaj.art-c3ce283bca3f424e927594519160ee25
institution Directory Open Access Journal
issn 2160-3308
language English
last_indexed 2024-12-14T07:24:33Z
publishDate 2014-11-01
publisher American Physical Society
record_format Article
series Physical Review X
spelling doaj.art-c3ce283bca3f424e927594519160ee252022-12-21T23:11:32ZengAmerican Physical SocietyPhysical Review X2160-33082014-11-014404102710.1103/PhysRevX.4.041027New Type of Quantum Criticality in the Pyrochlore IridatesLucile SavaryEun-Gook MoonLeon BalentsMagnetic fluctuations and electrons couple in intriguing ways in the vicinity of zero-temperature phase transitions—quantum critical points—in conducting materials. Quantum criticality is implicated in non-Fermi liquid behavior of diverse materials and in the formation of unconventional superconductors. Here, we uncover an entirely new type of quantum critical point describing the onset of antiferromagnetism in a nodal semimetal engendered by the combination of strong spin-orbit coupling and electron correlations, and which is predicted to occur in the iridium oxide pyrochlores. We formulate and solve a field theory for this quantum critical point by renormalization group techniques and show that electrons and antiferromagnetic fluctuations are strongly coupled and that both these excitations are modified in an essential way. This quantum critical point has many novel features, including strong emergent spatial anisotropy, a vital role for Coulomb interactions, and highly unconventional critical exponents. Our theory motivates and informs experiments on pyrochlore iridates and constitutes a singular realistic example of a nontrivial quantum critical point with gapless fermions in three dimensions.http://doi.org/10.1103/PhysRevX.4.041027
spellingShingle Lucile Savary
Eun-Gook Moon
Leon Balents
New Type of Quantum Criticality in the Pyrochlore Iridates
Physical Review X
title New Type of Quantum Criticality in the Pyrochlore Iridates
title_full New Type of Quantum Criticality in the Pyrochlore Iridates
title_fullStr New Type of Quantum Criticality in the Pyrochlore Iridates
title_full_unstemmed New Type of Quantum Criticality in the Pyrochlore Iridates
title_short New Type of Quantum Criticality in the Pyrochlore Iridates
title_sort new type of quantum criticality in the pyrochlore iridates
url http://doi.org/10.1103/PhysRevX.4.041027
work_keys_str_mv AT lucilesavary newtypeofquantumcriticalityinthepyrochloreiridates
AT eungookmoon newtypeofquantumcriticalityinthepyrochloreiridates
AT leonbalents newtypeofquantumcriticalityinthepyrochloreiridates