Many-body wave function and edge magnetization of an open <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mi>p</mi><mo>+</mo><mi>i</mi><mi>s</mi></mrow></math> superconducting chain

Jiarui Jiao; Chao Xu; Congjun Wu; Wang Yang

doi:10.1103/f7zm-ng9c

Many-body wave function and edge magnetization of an open $p + i s$ superconducting chain

Jiarui Jiao ¹, Chao Xu^2,3, Congjun Wu ^4,5,6,7,*, and Wang Yang ^1,†

¹School of Physics, Nankai University, Tianjin 300071, China
²Institute for Advanced Study, Tsinghua University, Beijing 100084, China
³Kavli Institute for Theoretical Sciences, University of Chinese Academy of Sciences, Beijing 100190, China
⁴New Cornerstone Science Laboratory, Department of Physics, School of Science, Westlake University, Hangzhou 310024, Zhejiang, China
⁵Institute for Theoretical Sciences, Westlake University, Hangzhou 310024, Zhejiang, China
⁶Key Laboratory for Quantum Materials of Zhejiang Province, School of Science, Westlake University, Hangzhou 310024, Zhejiang, China
⁷Institute of Natural Sciences, Westlake Institute for Advanced Study, Hangzhou 310024, Zhejiang, China

^*Contact author: wucongjun@westlake.edu.cn
^†Contact author: wyang@nankai.edu.cn

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Phys. Rev. B 113, 224525 – Published 26 June, 2026

DOI: https://doi.org/10.1103/f7zm-ng9c

Abstract

Although BCS wave functions for superconductors under periodic boundary conditions are well established, obtaining an explicit form of the many-body BCS wave function under open boundary condition is usually a nontrivial problem. In this work, we construct the exact BCS ground-state wave function of a one-dimensional spin- $\frac{1}{2}$ superconductor with $p + i s$ pairing symmetry under open boundary conditions for special sets of parameters. The spin magnetization on the edges is calculated explicitly using the obtained wave function. Our work is useful for obtaining deeper understandings of open $p + i s$ superconducting chains on a wave-function level.

Physical Review B

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Many-body wave function and edge magnetization of an open $p + i s$ superconducting chain

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Many-body wave function and edge magnetization of an open p+is superconducting chain

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Many-body wave function and edge magnetization of an open $p + i s$ superconducting chain