Inter-layer modified -wave superconductivity in an effectively doped spin-1 ladder

We construct a four-leg spin-1/2 t – J type model to simulate a doped two-leg spin-1 antiferromagnetic Heisenberg ladder. Employing renormalized mean-field theory with simple Gutzwiller factors, we obtain three degenerate superconducting states with different pairing symmetry. Through improving the...

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Main Authors: Jie Hou, Ting-Kuo Lee, Yaowu Guo, Jie Lou, Yan Chen
Format: Article
Language:English
Published: IOP Publishing 2019-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/ab5603
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author Jie Hou
Ting-Kuo Lee
Yaowu Guo
Jie Lou
Yan Chen
author_facet Jie Hou
Ting-Kuo Lee
Yaowu Guo
Jie Lou
Yan Chen
author_sort Jie Hou
collection DOAJ
description We construct a four-leg spin-1/2 t – J type model to simulate a doped two-leg spin-1 antiferromagnetic Heisenberg ladder. Employing renormalized mean-field theory with simple Gutzwiller factors, we obtain three degenerate superconducting states with different pairing symmetry. Through improving the Gutzwiller factors, we find that the state C with inter-layer modified ${d}_{{y}^{2}-{z}^{2}}$ -wave pairing has the lowest energy in a large doping range. Besides, we use the density matrix renormalization group method to solve the model. The negative binding energy reveals the pairing tendency, and the pair–pair correlation functions exhibit a slowly decaying behavior on certain types of bonds. From the pair correlations, we confirm the inter-layer modified ${d}_{{y}^{2}-{z}^{2}}$ -wave superconducting state as the ground state of the model.
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spelling doaj.art-c1a3451f6ec64beb89566ceec999f6e72023-08-08T15:25:04ZengIOP PublishingNew Journal of Physics1367-26302019-01-01211111304710.1088/1367-2630/ab5603Inter-layer modified -wave superconductivity in an effectively doped spin-1 ladderJie Hou0Ting-Kuo Lee1Yaowu Guo2Jie Lou3Yan Chen4Department of Physics and State Key Laboratory of Surface Physics, Fudan University , Shanghai 200433, People’s Republic of ChinaDepartment of Physics, National Sun Yat-sen University , Kaohsiung 80424, Taiwan; Institute of Physics, Academia Sinica, Nankang Taipei 11529, TaiwanDepartment of Physics and Optoelectronic Engineering, Weifang University , Weifang 261061, People’s Republic of ChinaDepartment of Physics and State Key Laboratory of Surface Physics, Fudan University , Shanghai 200433, People’s Republic of China; Collaborative Innovation Center of Advanced Microstructures, Nanjing University , Nanjing 210093, People’s Republic of ChinaDepartment of Physics and State Key Laboratory of Surface Physics, Fudan University , Shanghai 200433, People’s Republic of China; Collaborative Innovation Center of Advanced Microstructures, Nanjing University , Nanjing 210093, People’s Republic of ChinaWe construct a four-leg spin-1/2 t – J type model to simulate a doped two-leg spin-1 antiferromagnetic Heisenberg ladder. Employing renormalized mean-field theory with simple Gutzwiller factors, we obtain three degenerate superconducting states with different pairing symmetry. Through improving the Gutzwiller factors, we find that the state C with inter-layer modified ${d}_{{y}^{2}-{z}^{2}}$ -wave pairing has the lowest energy in a large doping range. Besides, we use the density matrix renormalization group method to solve the model. The negative binding energy reveals the pairing tendency, and the pair–pair correlation functions exhibit a slowly decaying behavior on certain types of bonds. From the pair correlations, we confirm the inter-layer modified ${d}_{{y}^{2}-{z}^{2}}$ -wave superconducting state as the ground state of the model.https://doi.org/10.1088/1367-2630/ab5603spin-1 ladderdoped Mott insulatorunconventional superconductivity
spellingShingle Jie Hou
Ting-Kuo Lee
Yaowu Guo
Jie Lou
Yan Chen
Inter-layer modified -wave superconductivity in an effectively doped spin-1 ladder
New Journal of Physics
spin-1 ladder
doped Mott insulator
unconventional superconductivity
title Inter-layer modified -wave superconductivity in an effectively doped spin-1 ladder
title_full Inter-layer modified -wave superconductivity in an effectively doped spin-1 ladder
title_fullStr Inter-layer modified -wave superconductivity in an effectively doped spin-1 ladder
title_full_unstemmed Inter-layer modified -wave superconductivity in an effectively doped spin-1 ladder
title_short Inter-layer modified -wave superconductivity in an effectively doped spin-1 ladder
title_sort inter layer modified wave superconductivity in an effectively doped spin 1 ladder
topic spin-1 ladder
doped Mott insulator
unconventional superconductivity
url https://doi.org/10.1088/1367-2630/ab5603
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AT tingkuolee interlayermodifiedwavesuperconductivityinaneffectivelydopedspin1ladder
AT yaowuguo interlayermodifiedwavesuperconductivityinaneffectivelydopedspin1ladder
AT jielou interlayermodifiedwavesuperconductivityinaneffectivelydopedspin1ladder
AT yanchen interlayermodifiedwavesuperconductivityinaneffectivelydopedspin1ladder