Exact solution to a class of generalized Kitaev spin-1/2 models in arbitrary dimensions

被引：3
作者：
Miao, JianJian [1 ]
Jin, HuiKe [2 ]
Zhang, FuChun [1 ,3 ,4 ]
Zhou, Yi [2 ,3 ,4 ,5 ,6 ]
机构：
[1] Univ Chinese Acad Sci, Kavli Inst Theoret Sci, Beijing 100190, Peoples R China
[2] Zhejiang Univ, Dept Phys, Hangzhou 310027, Peoples R China
[3] Univ Chinese Acad Sci, CAS Ctr Excellence Topol Quantum Computat, Beijing 100190, Peoples R China
[4] Nanjing Univ, Collaborat Innovat Ctr Adv Microstruct, Nanjing 210093, Peoples R China
[5] Chinese Acad Sci, Beijing Natl Lab Condensed Matter Phys, Beijing 100190, Peoples R China
[6] Chinese Acad Sci, Inst Phys, Beijing 100190, Peoples R China
来源：
SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY | 2020年 / 63卷 / 04期
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
exactly solvable models; Kitaev honeycomb model; quantum spin liquid; QUANTUM; ANYONS;
D O I：
10.1007/s11433-019-1442-2
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We construct a class of exactly solvable generalized Kitaev spin-1/2 models in arbitrary dimensions, which is beyond the category of quantum compass models. The Jordan-Wigner transformation is employed to prove the exact solvability. An exactly solvable quantum spin-1/2 model can be mapped to a gas of free Majorana fermions coupled to static Z(2) gauge fields. We classify these exactly solvable models according to their parent models. Any model belonging to this class can be generated by one of the parent models. For illustration, a two dimensional (2D) tetragon-octagon model and a three dimensional (3D) xy bond model are studied.
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页数：11
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