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Award Abstract # 0071611
New Approach to the Fractional Quantum Hall Effects

NSF Org: DMR
Division Of Materials Research
Recipient: UNIVERSITY OF KENTUCKY RESEARCH FOUNDATION, THE
Initial Amendment Date: June 2, 2000
Latest Amendment Date: June 2, 2000
Award Number: 0071611
Award Instrument: Standard Grant
Program Manager: G. Bruce Taggart
DMR
 Division Of Materials Research
MPS
 Directorate for Mathematical and Physical Sciences
Start Date: July 1, 2000
End Date: June 30, 2003 (Estimated)
Total Intended Award Amount: $168,000.00
Total Awarded Amount to Date: $168,000.00
Funds Obligated to Date: FY 2000 = $168,000.00
History of Investigator:
  • Ganpathy Murthy (Principal Investigator)
    murthy@g.uky.edu
Recipient Sponsored Research Office: University of Kentucky Research Foundation
500 S LIMESTONE
LEXINGTON
KY  US  40526-0001
(859)257-9420
Sponsor Congressional District: 06
Primary Place of Performance: University of Kentucky
500 S LIMESTONE
LEXINGTON
KY  US  40526-0001
Primary Place of Performance
Congressional District:
06
Unique Entity Identifier (UEI): H1HYA8Z1NTM5
Parent UEI:
NSF Program(s): CONDENSED MATTER & MAT THEORY,
EPSCoR Co-Funding
Primary Program Source: app-0100 
app-0400 
Program Reference Code(s): 9150, 9162, AMPP
Program Element Code(s): 176500, 915000
Award Agency Code: 4900
Fund Agency Code: 4900
Assistance Listing Number(s): 47.049

ABSTRACT

0071611
Murthy
This is a grant to support theoretical research on the physics of correlated electrons. The quintessential example of strongly correlated physics is the fractional quantum Hall effect. In very strong magnetic fields the kinetic energy is completely degenerate, and the dynamics is determined by interactions alone. The focus of the research is to investigate quantum phase transitions between possible phases of electrons in strong magnetic fields as various external tunable parameters (such as Landau-level mixing, sample thickness, disorder, and the Zeeman energy) are varied. A new approach developed by the PI with Shankar will be used, supplemented by standard techniques. The states to be studied include: fractional quantum Hall liquid; Wigner crystal; Hall crystal; p-wave superconducting composite fermion states and their inhomogeneous generalizations.
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This is grant to support theoretical research on the physics of correlated electrons. The quintessential example of strongly correlated physics is the fractional quantum Hall effect. In very strong magnetic fields the kinetic energy is completely degenerate, and the dynamics is determined by interactions alone. The research will study a variety of configurations of these systems. The results will be of fundamental importance and will possibly provide insight into device applications.
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