查爾斯·凱恩
拓撲絕緣體理論
The realization that electronic properties can be topologically protected has revolutionized our understanding of solid-state physics.
電子特性可以受到拓撲保護的認識徹底改變了我們對固態(tài)物理學(xué)的理解。
In the search for new quantum materials, we are guided by the principles of topology and symmetry, which often lead us to discover materials with remarkable properties.
在尋找新的量子材料時，我們以拓撲和對稱性的原則為指導(dǎo)，這些原則常常引導(dǎo)我們發(fā)現(xiàn)具有顯著特性的材料。
The study of topological phases of matter is a testament to the power of theoretical physics to predict and explain new states of matter.
對物質(zhì)拓撲相的研究證明了理論物理學(xué)在預(yù)測和解釋新物質(zhì)狀態(tài)方面的力量。
The interplay between topology and symmetry in materials can lead to unexpected and exciting physical phenomena.
材料中拓撲和對稱性之間的相互作用可以導(dǎo)致意想不到且令人興奮的物理現(xiàn)象。
As we delve deeper into the quantum world, we find that topology is not just a mathematical curiosity, but a fundamental aspect of nature.
隨著我們深入量子世界，我們發(fā)現(xiàn)拓撲不僅僅是數(shù)學(xué)上的好奇，而是自然界的一個基本方面。
The beauty of topological insulators lies in their robustness; their surface states are protected against disorder and imperfections.
拓撲絕緣體的美在于它們的魯棒性；它們的表面態(tài)受到保護，不受無序和缺陷的影響。
Exploring the topological aspects of materials is not just about understanding their current properties, but also about predicting and designing new functionalities.
探索材料的拓撲特性不僅僅是理解它們當前的屬性，還包括預(yù)測和設(shè)計新的功能。
The concept of topological protection in electronic systems is a profound insight that bridges abstract mathematics and practical physics.
電子系統(tǒng)中的拓撲保護概念是一個深刻的見解，它連接了抽象數(shù)學(xué)和實用物理學(xué)。
In the realm of quantum materials, we are constantly surprised by the richness of phenomena that emerge from the collective behavior of electrons.
在量子材料的領(lǐng)域，我們不斷被電子集體行為中涌現(xiàn)出的豐富現(xiàn)象所驚訝。
The discovery of topological insulators has opened up a new frontier in condensed matter physics, where the interplay of symmetry and topology leads to novel quantum states of matter.
拓撲絕緣體的發(fā)現(xiàn)開啟了凝聚態(tài)物理學(xué)的新前沿，其中對稱性和拓撲的相互作用導(dǎo)致了新的量子物質(zhì)狀態(tài)。