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• W1736660295 abstract "The Haldane pseudopotential construction has been an extremely powerful concept in quantum Hall physics---it not only gives a minimal description of the space of Hamiltonians but also suggests special model Hamiltonians (those where certain pseudopotential are set to zero) that may have exactly solvable ground states with interesting properties. The purpose of this paper is to generalize the pseudopotential construction to situations where interactions are $N$-body and where the particles may have internal degrees of freedom such as spin or valley index. Assuming a rotationally invariant Hamiltonian, the essence of the problem is to obtain a full basis of wave functions for $N$ particles with fixed relative angular momentum $L$. This basis decomposes into representations of SU$(n)$ with $n$ the number of internal degrees of freedom. We give special attention to the case where the internal degree of freedom has $n=2$ states, which encompasses the important cases of spin-1/2 particles and quantum Hall bilayers. We also discuss in some detail the cases of spin-1 particles ($n=3$) and graphene ($n=4$, including two spin and two valley degrees of freedom)." @default.
• W1736660295 created "2016-06-24" @default.
• W1736660295 creator A5083003870 @default.
• W1736660295 creator A5087120355 @default.
• W1736660295 date "2012-02-24" @default.
• W1736660295 modified "2023-09-25" @default.
• W1736660295 title "Multiparticle pseudopotentials for multicomponent quantum Hall systems" @default.
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• W1736660295 doi "https://doi.org/10.1103/physrevb.85.075430" @default.
• W1736660295 hasPublicationYear "2012" @default.
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