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Decay of correlations in 2D quantum systems

Costanza Benassi
Institution: 
Warwick
Location: 
A-136
Schedule: 
Thursday, January 26, 2017 - 09:30 to 11:00
Abstract: 

The decay of correlation functions provides a great deal of information about the phase diagram of lattice systems. McBryan and Spencer proved that the two-point function decays as a power-law in the 2D classical XY model. Koma and Tasaki proved it for the quantum Hubbard model. In this talk I will discuss a recent generalisation of this result to a wide class of 2d quantum lattice systems with U(1) symmetry. Based on a joint work in collaboration with J. Fröhlich and D. Ueltschi (arXiv:1612.02478 (2016)).

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