COMMUNICATIONS IN MATHEMATICAL PHYSICS 265(3) 781-804 2006年8月
We study the relation between the spectral gap above the ground state and the decay of the correlations in the ground state in quantum spin and fermion systems with short-range interactions on a wide class of lattices. We prove that, if two observ...
REVIEWS IN MATHEMATICAL PHYSICS 16(9) 1115-1189 2004年10月
We re-examine the charge transport induced by a weak electric field in two-dimensional quantum Hall systems in a finite, periodic box at very low temperatures. Our model covers random vector and electrostatic potentials and electron-electron inter...
人文科学研究科
理学部