Deconfined Critical Point in a Doped Random Quantum Heisenberg Magnet

We describe the phase diagram of electrons on a fully connected lattice with random hopping, subject to a random Heisenberg spin exchange interaction between any pair of sites and a constraint of no double occupancy. A perturbative renormalization group analysis yields a critical point with fraction...

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Autores principales:	Darshan G. Joshi, Chenyuan Li, Grigory Tarnopolsky, Antoine Georges, Subir Sachdev
Formato:	article
Lenguaje:	EN
Publicado:	American Physical Society 2020
Materias:	Physics QC1-999
Acceso en línea:	https://doaj.org/article/c3a216d55828417dbb45b5002dee7142
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spelling	oai:doaj.org-article:c3a216d55828417dbb45b5002dee71422021-12-02T12:00:30ZDeconfined Critical Point in a Doped Random Quantum Heisenberg Magnet10.1103/PhysRevX.10.0210332160-3308https://doaj.org/article/c3a216d55828417dbb45b5002dee71422020-05-01T00:00:00Zhttp://doi.org/10.1103/PhysRevX.10.021033http://doi.org/10.1103/PhysRevX.10.021033https://doaj.org/toc/2160-3308We describe the phase diagram of electrons on a fully connected lattice with random hopping, subject to a random Heisenberg spin exchange interaction between any pair of sites and a constraint of no double occupancy. A perturbative renormalization group analysis yields a critical point with fractionalized excitations at a nonzero critical value p_{c} of the hole doping p away from the half-filled insulator. We compute the renormalization group to two loops, but some exponents are obtained to all loop order. We argue that the critical point p_{c} is flanked by confining phases: a disordered Fermi liquid with carrier density 1+p for p>p_{c} and a metallic spin glass with carrier density p for p<p_{c}. Additional evidence for the critical behavior is obtained from a large-M analysis of a model which extends the SU(2) spin symmetry to SU(M). We discuss the relationship of the vicinity of this deconfined quantum critical point to key aspects of cuprate phenomenology.Darshan G. JoshiChenyuan LiGrigory TarnopolskyAntoine GeorgesSubir SachdevAmerican Physical SocietyarticlePhysicsQC1-999ENPhysical Review X, Vol 10, Iss 2, p 021033 (2020)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999
spellingShingle	Physics QC1-999 Darshan G. Joshi Chenyuan Li Grigory Tarnopolsky Antoine Georges Subir Sachdev Deconfined Critical Point in a Doped Random Quantum Heisenberg Magnet
description	We describe the phase diagram of electrons on a fully connected lattice with random hopping, subject to a random Heisenberg spin exchange interaction between any pair of sites and a constraint of no double occupancy. A perturbative renormalization group analysis yields a critical point with fractionalized excitations at a nonzero critical value p_{c} of the hole doping p away from the half-filled insulator. We compute the renormalization group to two loops, but some exponents are obtained to all loop order. We argue that the critical point p_{c} is flanked by confining phases: a disordered Fermi liquid with carrier density 1+p for p>p_{c} and a metallic spin glass with carrier density p for p<p_{c}. Additional evidence for the critical behavior is obtained from a large-M analysis of a model which extends the SU(2) spin symmetry to SU(M). We discuss the relationship of the vicinity of this deconfined quantum critical point to key aspects of cuprate phenomenology.
format	article
author	Darshan G. Joshi Chenyuan Li Grigory Tarnopolsky Antoine Georges Subir Sachdev
author_facet	Darshan G. Joshi Chenyuan Li Grigory Tarnopolsky Antoine Georges Subir Sachdev
author_sort	Darshan G. Joshi
title	Deconfined Critical Point in a Doped Random Quantum Heisenberg Magnet
title_short	Deconfined Critical Point in a Doped Random Quantum Heisenberg Magnet
title_full	Deconfined Critical Point in a Doped Random Quantum Heisenberg Magnet
title_fullStr	Deconfined Critical Point in a Doped Random Quantum Heisenberg Magnet
title_full_unstemmed	Deconfined Critical Point in a Doped Random Quantum Heisenberg Magnet
title_sort	deconfined critical point in a doped random quantum heisenberg magnet
publisher	American Physical Society
publishDate	2020
url	https://doaj.org/article/c3a216d55828417dbb45b5002dee7142
work_keys_str_mv	AT darshangjoshi deconfinedcriticalpointinadopedrandomquantumheisenbergmagnet AT chenyuanli deconfinedcriticalpointinadopedrandomquantumheisenbergmagnet AT grigorytarnopolsky deconfinedcriticalpointinadopedrandomquantumheisenbergmagnet AT antoinegeorges deconfinedcriticalpointinadopedrandomquantumheisenbergmagnet AT subirsachdev deconfinedcriticalpointinadopedrandomquantumheisenbergmagnet
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Deconfined Critical Point in a Doped Random Quantum Heisenberg Magnet

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