An Overview of the Development of Topological Vortex Theory (TVT) |...

加入

登录

注册

搜索

主题切换

夜间模式

An Overview of the Development of Topological Vortex Theory (TVT)

网站博客 Literature

已发布 2025-10-13 04:38:58

94

2. The Key Developmental Stages of Topological Vortex Theory (TVT)

The development of Topological Vortex Theory (TVT) can be traced back to the study of topological phase transitions in condensed matter physics during the 1970s, and it gradually evolved into an interdisciplinary theoretical framework in the 21st century. The following are its key developmental stages:

2.1 Theoretical Emergence: BKT Transition and Topological Defects

In the 1970s, Thouless and Kosterlitz proposed the BKT transition theory by studying vortex-antivortex bound pairs in two-dimensional superfluid/superconducting systems. This theory revealed the role of topological defects (such as vortices) in phase transitions, breaking through the limitations of the Landau paradigm and laying the foundation for subsequent topological classification.

2.2 Mathematical Deepening: Chern Number and Quantum Hall Effect

In the 1980s, Thouless and his students introduced the Chern number to quantify the topological properties of electron wavefunctions, explaining the microscopic mechanism of the quantum Hall effect. Haldane further proposed the quantum anomalous Hall effect, integrating topological classification with symmetry constraints and advancing the study of topological insulators.

请登录以点赞、分享和评论！

รีวิวเจาะลึก RELX บุหรี่ไฟฟ้า รุ่นใหม่ล่าสุด พร้อมคำแนะนำการเลือกซื้ออย่างมืออาชีพ

ในยุคที่ผู้คนเริ่มให้ความสำคัญกับสุขภาพและต้องการทางเลือกใหม่ในการลดการสูบบุหรี่แบบดั้งเดิมrelx...

通过 2025-07-31 01:43:39 0 1千

五金件冲压件生产中咨询邮箱 lcz_1818@163.com

通过 2025-07-26 02:52:33 0 2千

suokuo Fashionable women's bags welcome you

通过 2025-09-17 12:37:10 0 962

新发型

通过 2025-09-12 02:55:04 0 993

the first

Today is a significant day. As I join everyone here, I sincerely hope to gain your support and...

通过 2025-09-23 08:32:43 1 675