Disorder-induced phases in the S=1 antiferromagnetic Heisenberg chain

Abstract

We use extensive density matrix renormalization group (DMRG) calculations to explore the phase diagram of the random S=1 antiferromagnetic Heisenberg chain with a power-law distribution of the exchange couplings. We use open chains and monitor the lowest gaps, the end-to-end correlation function, and the string order parameter. For this distribution at weak disorder, the systems is in the gapless Haldane phase with a disorder dependent dynamical exponent, z, and z=1 signals, the border between the nonsingular and singular regions of the local susceptibility. For strong enough disorder, which approximately corresponds to a uniform distribution, a transition into the random singlet phase is detected, at which the string order parameter as well as the average end-to-end correlation function are vanishing and at the same time the dynamical exponent is divergent. Singularities of physical quantities are found to be somewhat different in the random singlet phase and in the critical point.

arXiv comment8 pages, 5 figures

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• Rare region effects at classical, quantum, and non-equilibrium phase transitions
• New Trends in Density Matrix Renormalization
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• Self-assembling tensor networks and holography in disordered spin chains
• Analytical and numerical studies of disordered spin-1 Heisenberg chains with aperiodic couplings
• Tensor network renormalization group study of spin-1 random Heisenberg chains
• Schmidt gap in random spin chains
• Resilience of hidden order to symmetry-preserving disorder
• Dynamical properties of the Haldane chain with bond disorder
• Renormalization-group investigation of the S=1 random antiferromagnetic Heisenberg Chain