Jain, Jainendra K.
Overview
Works:  6 works in 18 publications in 1 language and 253 library holdings 

Roles:  Author, Thesis advisor 
Classifications:  QC793.5.F42, 539.721 
Publication Timeline
.
Most widely held works by
Jainendra K Jain
Composite fermions
by
Jainendra K Jain(
Book
)
13 editions published between 2007 and 2012 in English and held by 246 WorldCat member libraries worldwide
Selfcontained, pedagogical textbook introducing composite fermions for graduate students and academic researchers
13 editions published between 2007 and 2012 in English and held by 246 WorldCat member libraries worldwide
Selfcontained, pedagogical textbook introducing composite fermions for graduate students and academic researchers
Quantum phase transition in strongly correlated systems
by
Longhua Jiang(
)
1 edition published in 2008 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2008 in English and held by 2 WorldCat member libraries worldwide
Study of correlations in fractional quantum Hall effect
by Chuntai Shi(
)
1 edition published in 2009 in English and held by 2 WorldCat member libraries worldwide
Bulk twodimensional electron systems in a strong perpendicular magnetic field exhibit the fascinating phenomenon of fractional quantum Hall effect. Composite fermion theory was developed in the process of understanding the fractional quantum Hall effect and was proven to work successfully for the FQHE and even beyond. In this dissertation, we explore the effect of the strong correlation between electrons in several cases. All of them belong to the category of 2DES in strong perpendicular magnetic field and they are listed below: (i)A fractional quantum Hall island surrounded by a bulk fractional quantum Hall state with a different filling factor. Specifically, we study the resonant tunneling composite fermions through their quasibound states around the island. A rich set of possible transitions are found and the possible relevance to an interesting experiment is discussed. Also, we discuss the subtlety of separating the effect of fractional braiding statistics from other factors. (ii) Correlated states of a quantum dot, at high magnetic fields, assuming four electrons with two components. Such a dot can be realized by reducing the two lateral dimensions of a 2DES tremendously. Both the liquid states and crystallites (the latter occurring at large angular momenta) of four electrons in terms of composite fermions are considered. Residual interaction between composite fermions is shown to leads to complex spin correlations. (iii) Bilayer quantum Hall effect at total filling $ u_T=5$. This can accommodate an excitonic superfluid state at small layer separations just like at $ u_T=1$. At large layer separations, however, $ u_T=5$ state evolves into uncorrelated $ u=5/2$ fractional quantum Hall states in both layers, in contrast to uncorrelated composite Fermi sea in $ u_T=1$ case. We focus on finding the critical layer separation at which the correlation between electrons on different layers are destroyed. Effects due to the finite width of the layers are also considered
1 edition published in 2009 in English and held by 2 WorldCat member libraries worldwide
Bulk twodimensional electron systems in a strong perpendicular magnetic field exhibit the fascinating phenomenon of fractional quantum Hall effect. Composite fermion theory was developed in the process of understanding the fractional quantum Hall effect and was proven to work successfully for the FQHE and even beyond. In this dissertation, we explore the effect of the strong correlation between electrons in several cases. All of them belong to the category of 2DES in strong perpendicular magnetic field and they are listed below: (i)A fractional quantum Hall island surrounded by a bulk fractional quantum Hall state with a different filling factor. Specifically, we study the resonant tunneling composite fermions through their quasibound states around the island. A rich set of possible transitions are found and the possible relevance to an interesting experiment is discussed. Also, we discuss the subtlety of separating the effect of fractional braiding statistics from other factors. (ii) Correlated states of a quantum dot, at high magnetic fields, assuming four electrons with two components. Such a dot can be realized by reducing the two lateral dimensions of a 2DES tremendously. Both the liquid states and crystallites (the latter occurring at large angular momenta) of four electrons in terms of composite fermions are considered. Residual interaction between composite fermions is shown to leads to complex spin correlations. (iii) Bilayer quantum Hall effect at total filling $ u_T=5$. This can accommodate an excitonic superfluid state at small layer separations just like at $ u_T=1$. At large layer separations, however, $ u_T=5$ state evolves into uncorrelated $ u=5/2$ fractional quantum Hall states in both layers, in contrast to uncorrelated composite Fermi sea in $ u_T=1$ case. We focus on finding the critical layer separation at which the correlation between electrons on different layers are destroyed. Effects due to the finite width of the layers are also considered
Multipartite states and Luttinger liquids of composite fermions
by Sreejith Ganesh Jaya(
)
1 edition published in 2012 in English and held by 1 WorldCat member library worldwide
1 edition published in 2012 in English and held by 1 WorldCat member library worldwide
Physics at the edge of fractional quantum hall systems
by Shivakumar Jolad(
)
1 edition published in 2010 in English and held by 1 WorldCat member library worldwide
1 edition published in 2010 in English and held by 1 WorldCat member library worldwide
Transport properties of dirac fermions in two dimensions
by Ashley M Dasilva(
)
1 edition published in 2012 in English and held by 1 WorldCat member library worldwide
1 edition published in 2012 in English and held by 1 WorldCat member library worldwide
Audience Level
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Related Identities
 Shi, Chuntai Author
 Jiang, Longhua Author
 Dasilva, Ashley M. Author
 Jolad, Shivakumar Author
 Ganesh Jaya, Sreejith Author
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