Majorana zero modes in Y-shape interacting Kitaev wires

被引:12
作者
Pandey, Bradraj [1 ,2 ]
Kaushal, Nitin [2 ]
Alvarez, Gonzalo [3 ]
Dagotto, Elbio [1 ,2 ]
机构
[1] Univ Tennessee, Dept Phys & Astron, Knoxville, TN 37996 USA
[2] Oak Ridge Natl Lab, Mat Sci & Technol Div, POB 2009, Oak Ridge, TN 37831 USA
[3] Computat Sci & Engn Div, Oak Ridge, TN 37831 USA
关键词
QUANTUM; STATE;
D O I
10.1038/s41535-023-00584-5
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Motivated by the recent experimental realization of minimal Kitaev chains using quantum dots, we investigate the Majorana zero modes (MZM) in Y-shape Kitaev wires. We solve the associated Kitaev models analytically at the sweet spot (t(h)=Delta) and derive the exact form of MZM wave-functions in this geometry. We observed exotic multi-site MZMs located near the junction center, on the nearby edge sites of each leg. This result is important for potential braiding of Majoranas and the performance of Y-junctions made from arrays of quantum dots. Furthermore, we study the stability of local (single-site) and multi-site MZMs modes in the presence of Coulomb repulsion, using density matrix renormalization group theory. Our local density-of-states calculation shows that these multi-site MZMs are as equally topologically protected as the single-site MZMs when in the presence of Coulomb repulsion or when away from the sweet-spot.
引用
收藏
页数:8
相关论文
共 52 条
[51]   Phase Control of Majorana Bound States in a Topological X Junction [J].
Zhou, Tong ;
Dartiailh, Matthieu C. ;
Mayer, William ;
Han, Jong E. ;
Matos-Abiague, Alex ;
Shabani, Javad ;
Zutic, Igor .
PHYSICAL REVIEW LETTERS, 2020, 124 (13)
[52]   Majorana fermions in T-shaped semiconductor nanostructures [J].
Zhou, Y. ;
Wu, M. W. .
JOURNAL OF PHYSICS-CONDENSED MATTER, 2014, 26 (06)