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

Join

Sign In

Sign Up

Search

Theme Switcher

Night Mode

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

Blogs Literature

Posted 2025-10-13 04:38:58

32

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.

Please log in to like, share and comment!

Double the Summer Joy!

Don't let water ruin your adventure! 💦 Our Waterproof Bag is your ultimate...

By 2025-06-24 05:24:16 1 2K

[庆祝]

European, American and Southeast Asian comprehensive logistics transportation solutions...

By 2025-09-16 06:26:38 3 888

BSCI and ISO dual-certified front-opening minimalist style luggage, opening up a new way of convenient travel

The front opening design allows you to put the tablet in the front pocket. It is equipped with a...

By 2025-09-25 06:35:13 0 616

植村秀專櫃必收清單｜奶油唇釉×黃金卸妝術

踏進植村秀專櫃的瞬間，空氣中浮動著山茶花香與藝術家的創作能量。這個將日式匠魂注入彩妝的品牌，不只是上色工具，更是肌膚的頂級儀式！從引爆社群的「無色限奶油緞光唇釉」到殿堂級「植村秀...

By 2025-07-04 01:15:02 0 1K

Marble-textured suitcase

Marble-textured suitcases, an absolute dazzling presence during your travels, equipped with TSA...

By 2025-09-23 07:24:33 0 599