369 citations · 5k across the 80 of their papers we have counts for
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Tunneling between coupled Luttinger liquids
Paul Fendley, Chetan Nayak
We consider the problem of tunneling between spinless 1D Luttinger liquid chains. We show how to map the problem onto the 4-state chiral clock model together with a free boson for…
Integrable sigma models with theta=pi
Paul Fendley
A fundamental result relevant to spin chains and two-dimensional disordered systems is that the sphere sigma model with instanton coupling theta=pi has a non-trivial low-energy fix…
Critical points in two-dimensional replica sigma models
Paul Fendley
I survey the kinds of critical behavior believed to be exhibited in two-dimensional disordered systems. I review the different replica sigma models used to describe the low-energy…
On phase transitions in two-dimensional disordered systems
Paul Fendley, Robert M. Konik
The low-energy limits of models with disorder are frequently described by sigma models. In two dimensions, most sigma models admit either a Wess-Zumino-Witten or a theta term. When…