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Unfrustrating the t-J Model: d-wave BCS Superconductivity in the t'-J_z-V Model

Slagle, Kevin (2019) Unfrustrating the t-J Model: d-wave BCS Superconductivity in the t'-J_z-V Model. SciPost Physics, 7 (4). Art. No. 46. ISSN 2542-4653. https://resolver.caltech.edu/CaltechAUTHORS:20190807-104734541

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Abstract

The t-J model is believed to be a minimal model that may be capable of describing the low-energy physics of the cuprate superconductors. However, although the t-J model is simple in appearance, obtaining a detailed understanding of its phase diagram has proved to be challenging. We are therefore motivated to study modifications to the t-J model such that its phase diagram and mechanism for d-wave superconductivity can be understood analytically without making uncontrolled approximations. The modified model we consider is a t'-J_z-V model on a square lattice, which has a second-nearest-neighbor hopping t' (instead of a nearest-neighbor hopping t), an Ising (instead of Heisenberg) antiferromagnetic coupling J_z, and a nearest-neighbor repulsion V. In a certain strongly interacting limit, the ground state is an antiferromagnetic superconductor that can be described exactly by a Hamiltonian where the only interaction is a nearest-neighbor attraction. BCS theory can then be applied with arbitrary analytical control, from which nodeless d-wave or s-wave superconductivity can result.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.21468/SciPostPhys.7.4.046DOIArticle
https://arxiv.org/abs/1906.06344arXivArticle
ORCID:
AuthorORCID
Slagle, Kevin0000-0002-8036-3447
Alternate Title:Unfrustrating the t-J Model: Exact d-wave BCS Superconductivity in the t′-J_z-V Model
Additional Information:© 2019 K. Slagle. This work is licensed under the Creative Commons Attribution 4.0 International License. Published by the SciPost Foundation. Received 03-08-2019; Accepted 01-10-2019; Published 09-10-2019. We thank Patrick Lee and Assa Auerbach for helpful discussions. KS acknowledges support from the Walter Burke Institute for Theoretical Physics at Caltech.
Group:UNSPECIFIED, Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Subject Keywords:Ising model; Superconductivity/superconductors
Issue or Number:4
Record Number:CaltechAUTHORS:20190807-104734541
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20190807-104734541
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:97700
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:07 Aug 2019 17:50
Last Modified:04 Jun 2020 10:14

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