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Fracton phases of matter

Pretko, Michael and Chen, Xie and You, Yizhi (2020) Fracton phases of matter. International Journal of Modern Physics A, 35 (6). Art. No. 2030003. ISSN 0217-751X. doi:10.1142/s0217751x20300033.

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Fractons are a new type of quasiparticle which are immobile in isolation, but can often move by forming bound states. Fractons are found in a variety of physical settings, such as spin liquids and elasticity theory, and exhibit unusual phenomenology, such as gravitational physics and localization. The past several years have seen a surge of interest in these exotic particles, which have come to the forefront of modern condensed matter theory. In this review, we provide a broad treatment of fractons, ranging from pedagogical introductory material to discussions of recent advances in the field. We begin by demonstrating how the fracton phenomenon naturally arises as a consequence of higher moment conservation laws, often accompanied by the emergence of tensor gauge theories. We then provide a survey of fracton phases in spin models, along with the various tools used to characterize them, such as the foliation framework. We discuss in detail the manifestation of fracton physics in elasticity theory, as well as the connections of fractons with localization and gravitation. Finally, we provide an overview of some recently proposed platforms for fracton physics, such as Majorana islands and hole-doped antiferromagnets. We conclude with some open questions and an outlook on the field.

Item Type:Article
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URLURL TypeDescription Paper
You, Yizhi0000-0002-8115-8672
Additional Information:© 2020 World Scientific Publishing Company. Received 7 January 2020. Accepted 11 February 2020. Published 18 March 2020. We are grateful for helpful discussions with Kevin Slagle, Wilbur Shirley, and Shriya Pai. X. Chen is supported by the National Science Foundation under award number DMR-1654340, the Institute for Quantum Information and Matter at Caltech, the Walter Burke Institute for Theoretical Physics at Caltech and the Simons Foundation through the collaboration on Ultra-Quantum Matter. Y. You is supported by PCTS Fellowship at Princeton University. This material is based in part (M. Pretko) upon work supported by Air Force Office of Sponsored Research under Grant No. FA9550-17-1-0183. Y. You and M. Pretko are supported in part by the National Science Foundation under Grant No. NSF PHY-1748958 (KITP) during the Topological Quantum Matter program. This work was partly initiated at Aspen Center for Physics, which is supported by National Science Foundation Grant PHY-1607611.
Group:Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Simons FoundationUNSPECIFIED
Princeton UniversityUNSPECIFIED
Air Force Office of Scientific Research (AFOSR)FA9550-17-1-0183
Subject Keywords:Fracton; gauge theory; topological phase
Issue or Number:6
Record Number:CaltechAUTHORS:20200409-115738925
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:102449
Deposited By: George Porter
Deposited On:10 Apr 2020 15:09
Last Modified:16 Nov 2021 18:12

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