1999/11/23 by S. Daul · 1 citation
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Critical point (mathematics) #Density matrix renormalization group #Electron #Ferromagnetism #Ground state #Hubbard model #Luttinger liquid #Mathematics #Phase (matter) #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum critical point #Quantum many-body systems #Quantum mechanics #Quantum phase transition #Quantum spin liquid #Renormalization group #Spin (aerodynamics) #Spin polarization #Superconductivity #cond-mat.str-el
paper · pdf · doi:10.1007/s100510051074
arxiv created 1999/11/23 · openalex publication_date 2000/04/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We consider a modified version of the one-dimensional Hubbard model, the t1-t2 Hubbard chain, which includes an additional next-nearest-neighbor hopping. It has been shown that at weak coupling this model has a Luttinger liquid phase or a spin liquid phase depending upon the ratio of t2 to t1. Additionally if the on-site interaction U is large enough, the ground state is fully polarized. Using exact diagonalization and the density-matrix renormalization group, we show that the transition to the ferromagnetic phase is either of first or second order depending on whether the Luttinger liquid or spin liquid is being destabilized. Since we work at T=0, the second order transition is a quantum magnetic critical point.