TY - JOUR
ID - 1606
TI - Principles of topology in understanding and development of topological
states of matter
JO - Iranian Journal of Physics Research
JA - IJPR
LA - en
SN - 1682-6957
AU - Kargarian, M
AD - Department of physics, Sharif University of Technology, Tehran, Iran
Y1 - 2020
PY - 2020
VL - 20
IS - 1
SP - 1
EP - 22
KW - geometrical and berry phases
KW - topology
KW - topological materials
KW - Chern invariant
DO - 10.47176/ijpr.20.1.11111
N2 - By using concepts of topology in mathematics, quantum mechanics, and their synergetic development during the past few decades, condensed matter physicists have discovered new phases of matter and introduced general frameworks to classify them. The research includes a vast gamut from chemistry of atomic orbitals to material science, promising new applications in the growing technologies. This review article aims to provide a better understanding of these unprecedented electron systems and their underlying topological principles. The article consist of two parts. First, there is a historical review of using topological concepts in condensed matter systems. Then, in the second part, we elaborate on some basics of topology in quantum mechanics and the concept of topological invariants.
UR - http://ijpr.iut.ac.ir/article_1606.html
L1 - http://ijpr.iut.ac.ir/article_1606_8191f922b76a1e10a95325960fbf49fc.pdf
ER -