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37 papers · 1 filter
Two-electron state in a disordered 2D island: pairing caused by the Coulomb repulsion
M. E. Raikh, L. I. Glazman, L. E. Zhukov
We show the existence of bound two-electron states in an almost depleted two-dimensional island. These two-electron states are carried by special compact configurations of four sin…
Exact Gravitational Shock Wave Solution of Higher Order Theories
Manuela Campanelli, Carlos O. Lousto
We find an {\it exact} pp--gravitational wave solution of the fourth order gravity field equations. Outside the (delta--like) source this {\it not} a vacuum solution of General Rel…
Quantum melting on a lattice and a delocalization transition
E. V. Tsiper, F. G. Pikus, A. L. Efros
We consider 2d gas of spinless fermions with the Coulomb interaction on a lattice at T=0 and at different values of the hopping amplitude J. At small J electrons form a periodic st…
Conservation laws in the continuum systems
Rudolf A. Römer, B. Sriram Shastry, B. Sutherland
We study the conservation laws of both the classical and the quantum mechanical continuum type systems. For the classical case, we introduce new integrals of motion along t…
The monodromy groups of Schwarzian equations on closed Riemann surfaces
Daniel Gallo, Michael Kapovich, Albert Marden
Let θ:π_1(R) \to \PSL(2,\C) be a homomorphism of the fundamental group of an oriented, closed surface R of genus exceeding one. We will establish the following theorem. Theorem. Ne…
Hidden Massive Spectators in the Effective Field Theory for Integral Quantum Hall Transitions
Yasuhiro Hatsugai, Mahito Kohmoto, Yong-Shi Wu
Integral quantum Hall plateau transitions in a planar lattice system due to gap collapse can be described by an effective field theory with Dirac fermions. We discuss how to reprod…