Topological Quantum Matter

被引：6

作者：

Duncan, F. ^{[1
]}

Haldane, M. ^{[1
]}

机构：

[1] Princeton Univ, Dept Phys, Princeton, NJ 08544 USA

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS B | 2018年 / 32卷 / 13期

关键词：

MANY-FERMION SYSTEM; ANTIFERROMAGNETIC CHAIN; FIELD-THEORY; DIMENSIONS; MODEL; REALIZATION; SPIN-1; PHASE; STATE; WAVE;

D O I：

10.1142/S0217979218300049

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

Nobel Lecture, presented December 8, 2016, Aula Magna, Stockholm University. I will describe the history and background of three discoveries cited in this Nobel Prize: The "TKNN" topological formula for the integer quantum Hall effect found by David Thouless and collaborators, the Chern Insulator or quantum anomalous Hall effect, and its role in the later discovery of time-reversal-invariant topological insulators, and the unexpected topological spin-liquid state of the spin-1 quantum antiferromagnetic chain, which provided an initial example of topological quantum matter. I will summarize how these early beginnings have led to the exciting, and currently extremely active, field of "topological matter."

引用

页数：23

共 38 条

[21]

Kitaev A. Y., 2001, Physics Uspekhi, V44, P131, DOI [DOI 10.1070/1063-7869/44/10S/S29, 10.1070/1063-7869/44/10S/S29]

[22]

LAUGHLIN RB, 1981, PHYS REV B, V23, P5632, DOI 10.1103/PhysRevB.23.5632

[23] Entanglement spectrum as a generalization of entanglement entropy: Identification of topological order in non-Abelian fractional quantum Hall effect states [J].