A theory paper predicts the zero- and finite-temperature phase diagram of one-dimensional bosons with power-law hopping, including a divergent Tomonaga-Luttinger exponent for 2<α<3 at low temperature.
Quantitative expression of the spin gap via bosonization for a dimerized spin-1/2 chain
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abstract
Using results on the mass gap in the sine-Gordon model combined with the exact amplitudes in the bosonized representation of the Heisenberg spin-1/2 chain and one-loop renormalization group, we derive a quantitative expression for the gap in a dimerized spin-1/2 chain. This expression is shown to be in good agreement with recent numerical estimates when a marginally irrelevant perturbation is taken into account.
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One dimensional Bose-Hubbard model with long range hopping
A theory paper predicts the zero- and finite-temperature phase diagram of one-dimensional bosons with power-law hopping, including a divergent Tomonaga-Luttinger exponent for 2<α<3 at low temperature.