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Volumn 70, Issue 12, 2004, Pages

Berry phases for composite fermions: Effective magnetic field and fractional statistics

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; FERMION; MAGNETIC FIELD; QUANTUM MECHANICS; THEORETICAL MODEL;

EID: 19744382218     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevB.70.125316     Document Type: Article
Times cited : (33)

References (41)
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    • note
    • It was shown that the fractional statistics can be "derived" heuristically if one assumed incompressibility at a fractional filling of the lowest LL and made certain other natural assumptions (Ref. 7). However, the fact that Laughlin's model for the quasi-particles does not produce the expected fractional statistics provides a contradiction. It is not known which of the assumptions in the derivation is invalid for that case.
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    • note
    • Such subtleties appear also in the definition of fractional charge. There is no fundamental particle with a fractional charge; the fractional charge is the difference between the net charge in a large enough area with or without a CFQP in it. In other words, it is also an order-1 difference between two large numbers. Will quantum fluctuations in the net charge, which are large compared to unity for a large area, make the definition of a fractional charge conceptually meaningless? Here, a possible way out (Ref. 29) is to consider an area enclosing the CFQP which is small enough that the fluctuations are small compared to the difference. Any experiment seeking to measure the fractional charge must consider such issues carefully.


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