000 02950cam a22003138i 4500
001 23622207
003 OSt
005 20250210125252.0
008 240328s2024 enk b 001 0 eng
010 _a 2024011919
020 _a9781316511756
_q(hardback)
040 _aDLC
_beng
_erda
_cIISERB
042 _apcc
050 0 0 _aQC612.H3
_bB37 2024
082 0 0 _a537.6226 B29Q
_223/eng/20240409
100 1 _aBasu, Saurabh.
_931465
245 1 0 _aQuantum Hall effect :
_bthe first topological insulator /
_cSaurabh Basu.
260 _aCambridge:
_bCambridge University Press,
_c2024.
263 _a2406
300 _axvii, 222p.
504 _aIncludes bibliographical references and index.
520 _a"The quantum Hall effect (QHE) is a fundamental phenomenon that occurs in a two-dimensional electron gas (2DEG) at low temperature and in the presence of a strong magnetic field. It has various applications in the fields like metrology and topological quantum computers. It also provides an extremely precise and independent determination of the fine-structure constant-a quantity of fundamental importance in quantum electrodynamics. This book attempts to present concepts of QHE to undergraduate and graduate students, post-doctoral researchers, and teachers taking advanced courses on condensed matter physics. The author has tried to integrate all the important concepts of QHE like graphene, the connection between topology and condensed matter physics, the prospects of next-generation storage devices based on the manipulation of spins (spintronic) and present them in a lucid manner. It offers the advantage of providing a pedagogical presentation to help students with some intermediate steps in derivation. The book starts with an introduction to the experimental discovery of the QHE that segues into the basics of 2DEG in a magnetic field. The physics of the Landau levels, their properties, and their relevance to the integer QHE are discussed. The importance of conduction and its connection to topological insulators is also emphasised. At a pedagogical level, concepts like linear response theory, Kubo formula, and topological invariance are explained and their relations to the understanding of QHE, graphene, its symmetries and its relevance as a quantum Hall insulator are also covered. It ends with an explanation of the role of interparticle interactions to explain fractional QHE with the help of topics such as the Laughlin wave function, fractional charge and statistics, and non-abelian anyons"--
650 0 _aQuantum Hall effect.
_931466
650 0 _aElectron gas.
_931467
776 0 8 _iOnline version:
_aBasu, Saurabh.
_tQuantum Hall effect
_dCambridge, United Kingdom ; New York, NY, USA : Cambridge University Press & Assessment, 2024
_z9781009053778
_w(DLC) 2024011920
906 _a7
_bcbc
_corignew
_d1
_eecip
_f20
_gy-gencatlg
942 _2ddc
_cBK
999 _c10661
_d10661