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We study the disordered XYZ spin chain using the recently developed SpectrumBifurcation Renormalization Group (SBRG) numerical method. With strongdisorder, the phase diagram consists of three many body localized (MBL) spinglass phases. We argue that, with sufficiently strong disorder, these spinglass phases are separated by marginally many-body localized (MBL) criticallines. We examine the critical lines of this model by measuring theentanglement entropy and Edwards-Anderson spin glass order parameter, and findthat the critical lines are characterized by an effective central chargec'=ln2. Our data also suggests continuously varying critical exponents alongthe critical lines. We also demonstrate how long-range mutual information candistinguish these phases.

Disordered XYZ Spin Chain Simulations using the Spectrum Bifurcation Renormalization Group