# Class of Variational Wave-Functions for the Spin-Coherent Ground State of a Luttinger Liquid Coupled to a Spin Bath

**When:**Wednesday, February 13, 2013 at 12:00 pm

**Where:**DA 114

**Speaker**: Mohammad Soltanieh ha

**Organization**: Northeastern University

**Sponsor**: Introduction to Physics Research

While the basic theoretical understanding of spin-charge separation in one-dimension, known as “Luttinger liquid theory”, has existed for some time, recently a previously unidentified regime of strongly interacting one-dimensional systems at finite temperature came to light: The “spin-incoherent Luttinger liquid” (SILL). This occurs when the temperature is larger than the characteristic spin energy scale. I will show that the spin-incoherent state can be written exactly as a generalization of Ogata and Shiba’s factorized wave function in an enlarged Hilbert space, using the so-called “thermo-field formalism.” Interestingly, this wave-function can also describe the *ground-state* of other model Hamiltonians, such as t-J ladders, and the Kondo lattice. This allows us to develop a unified formalism to describe SILL physics both at zero, and finite temperatures.