عنوان

Strong fermion interactions in fractional quantum hall states :

شابک

3030004945

شابک

3030004953

شابک

9783030004941

شابک

9783030004958

شابک اشتباه

3030004937

شابک اشتباه

9783030004934

عنوان اصلي

Strong fermion interactions in fractional quantum hall states :

نام عام مواد

[Book]

ساير اطلاعات عنواني

correlation functions /

نام نخستين پديدآور

Shashikant Mulay, John J. Quinn, Mark Shattuck.

محل نشرو پخش و غیره

Cham, Switzerland :

نام ناشر، پخش کننده و غيره

Springer,

تاریخ نشرو بخش و غیره

[2018]

تاریخ نشرو بخش و غیره

©2018

نام خاص و کميت اثر

1 online resource

عنوان فروست

Springer series in solid-state sciences ;

مشخصه جلد

Volume 193

متن يادداشت

Includes bibliographical references and index.

متن يادداشت

1. (Chapter 1 Title: Introduction to Quantum Hall States.)Historical background of many-body interactions in the context of integral and fractional quantumHall effect. Review of experimentally observed families of IQL states and their interpretations2. (Chapter 2 Title: The composite Fermion hierarchy and justification of the CF approach.)Jain's mean field composite Fermion picture, Laughlin-Jastrow type correlations. The workof the University of Tennessee group in condensed matter physics justifying MFCF undercertain conditions on the interaction energy. The concept of 'Effective CF angular momentum'associated to the lowest CF Landau level. Partially filled shells and Quasi-electons. Haldane'sheirarchy of Laughlin correlated daughter-states and Jain's sequence of IQL states3. (Chapter 3 Title: Correlation diagrams and the Algebra of correlation functions.)Justification of the CF approach. Establishing (with rigorous proofs) conditions under whichJain's elegant CF approach correctly predicts the angular momentum multiplets. Correlationdiagram approach to Moore-Read states provides a new insight and a more general view. Fully symmetric correlation functions for N Fermions in an IQL state for any filing factor lessthan ư, obtained from balanced correlation diagrams. Detailed treatment of the algebraiccorrelation functions and diagrams for small values of N; overlap with the numerical workon diagonalization. 4. (Chapter 4 Title: Invariant-theoretic essentials.)A self-contained brief introduction to the mathematical theory of invariants of binary formsin context of correlation diagrams and their associated correlation functions. Semi-invariantsof binary forms and dimension counting theorems. The relationship between the semi-invariantsand angular momentum multiplets in presence of quasi-electrons. 5. (Chapter 5 Title: Constructions of correlation diagrams and their correlation functions.)Theorems proving existence of nontrivial fully symmetric correlation functions fora class of correlation diagrams. Symmetry groups of the balanced correlation diagramsand their utility from the computational point of view. 6. (Chapter 6 Title: Trial wave functions for systems of Fermions in IQL state with generalfilling factor $n / (2 p n + -- 1) <1/2$.) Concrete constructions of fully symmetric correlationfunctions and detailed examination of their special algebraic features. 7. (Chapter 7 Title: Correlation functions for some Configurations with quasi-electrons andrelated open questions.) Concrete constructions of fully symmetric correlation functions forconfigurations of N interacting Fermions some of which are quasi-electrons, for a familytotal angular momenta. Various open mathematical questions directly related to suchconstructions.

بدون عنوان

0

متن يادداشت

This monograph presents an intuitive theory of trial wave functions for strongly interacting fermions in fractional quantum Hall states. The correlation functions for the proposed fermion interactions follow a novel algebraic approach that harnesses the classical theory of invariants and semi-invariants of binary forms. This approach can be viewed as a fitting and far-reaching generalization of Laughlin's approach to trial wave functions. Aesthetically viewed, it illustrates an attractive symbiosis between the theory of invariants and the theory of correlations. Early research into numerical diagonalization computations for small numbers of electrons shows strong agreement with the constructed trial wave functions. The monograph offers researchers and students of condensed matter physics an accessible discussion of this interesting area of research.

منبع سفارش / آدرس اشتراک

Springer Nature

شماره انبار

com.springer.onix.9783030004941

عنوان

Strong fermion interactions in fractional quantum hall states.

شماره استاندارد بين المللي کتاب و موسيقي

9783030004934

موضوع مستند نشده

Correlation (Statistics)

موضوع مستند نشده

Fermions.

موضوع مستند نشده

Quantum Hall effect.

موضوع مستند نشده

Atoms and Molecules in Strong Fields, Laser Matter Interaction.

موضوع مستند نشده

Mathematical Physics.

موضوع مستند نشده

Numerical and Computational Physics, Simulation.

موضوع مستند نشده

Strongly Correlated Systems, Superconductivity.

موضوع مستند نشده

Correlation (Statistics)

موضوع مستند نشده

Fermions.

موضوع مستند نشده

Mathematical physics.

موضوع مستند نشده

Plasma physics.

موضوع مستند نشده

Quantum Hall effect.

موضوع مستند نشده

SCIENCE-- Physics-- Quantum Theory.

موضوع مستند نشده

Semi-conductors & super-conductors.

موضوع مستند نشده

SCI-- 057000

موضوع مستند نشده

TJFD

موضوع مستند نشده

TJFD5

شماره

ويراست

شماره رده

مستند نام اشخاص تاييد نشده

Mulay, Shashikant

مستند نام اشخاص تاييد نشده

Quinn, John J., (John Joseph),1933-

مستند نام اشخاص تاييد نشده

Shattuck, Mark

تاريخ عمليات

20200823071840.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y