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

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.

Vă rugăm să vă autentificați pentru a vă dori, partaja și comenta!

สัมผัสใหม่แห่งการสูบกับ RELX รุ่นหก จากเยว่เค่อ

relx เป็นแบรนด์บุหรี่ไฟฟ้าที่ได้รับความนิยมสูงมากในกลุ่มผู้สูบยุคใหม่...

By 2025-07-30 01:53:43 1 1K

犀利士5mg哪裡買？如何購買犀利士每日錠（藥師詳解）

犀利士5mg（Cialis-5毫克）是目前市面上廣受歡迎的長期治療勃起功能障礙（ED）和前列腺肥大（BPH）藥物。它的特點在於每日服用的低劑量，使男性能夠隨時進行性生活，無需計劃或提前服藥。那麼...

By 2025-07-14 03:58:35 0 2K

อัปเดตเทรนด์บุหรี่ไฟฟ้า: RELX 6 และอื่นๆ

ปัจจุบันตลาด เยว่เค่อ บุหรี่ไฟฟ้า มีการเติบโตอย่างต่อเนื่อง...

By 2025-09-25 01:32:46 0 511

หัวพอด Relx รุ่น 5 นวัตกรรมบุหรี่ไฟฟ้าล่าสุด

Relx Artisan คือสุดยอดนวัตกรรมบุหรี่ไฟฟ้าที่ผสมผสานดีไซน์หรูหราและเทคโนโลยีล้ำสมัย...

By 2025-08-07 03:37:25 1 1K

#ModularHomes #ModularHouse #ContainerHome #PrefabHouse / #PrefabHomes #LuxuryPrefab #MountainCabin #PremiumPrefabHotels #OffGridLiving #B2BConstruction #B2CConstruction #CabinCore #CustomPrefab #BareSteelFrame (or #OriginalSteelFrame) #ResortDevelopment

1. Your Philippine Manufacturer of Quick-Assembly Container Homes & Prefab Houses.2....

By 2025-09-09 10:01:06 0 966