Phase diagram of the t-U-J1-J2 chain at half filling
X. Huang, E. Szirmai, F. Gebhard, J. S\'olyom, and R.M. Noack
TL;DR
This paper explores the phase diagram of a half-filled Hubbard chain with added J1 and J2 spin exchanges, revealing phases like spin-density-wave, bond-order-wave, and Luther-Emery, using bosonization and DMRG methods.
Contribution
It provides a detailed analysis of the phase diagram of the t-U-J1-J2 chain at half filling, identifying new phases induced by frustration.
Findings
Spin-density-wave phase for J2=0 and all positive U and J1
Bond-order-wave phase induced by J2
Existence of a spin-gapped Luther-Emery phase under certain conditions
Abstract
We investigate the half-filled Hubbard chain with additional nearest- and next-nearest-neighbor spin exchange, J1 and J2, using bosonization and the density-matrix renormalization group. For J2 = 0 we find a spin-density-wave phase for all positive values of the Hubbard interaction U and the Heisenberg exchange J1. A frustrating spin exchange J2 induces a bond-order-wave phase. For some values of J1, J2 and U, we observe a spin-gapped metallic Luther-Emery phase.
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