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We apply the biorthonormal transfer-matrix renormalization group (BTMRG)[Phys. Rev. E 83, 036702 (2011)] to study low-temperature properties of quantumspin chains. Simulation on isotropic Heisenberg spin-1/2 chain demonstratesthat the BTMRG outperforms the conventional transfer-matrix renormalizationgroup (TMRG) by successfully accessing far lower temperature unreachable byconventional TMRG, while retaining the same level of accuracy. The power of themethod is further illustrated by the calculation of the low-temperaturespecific heat for a frustrated spin chain.

Accurate computation of low-temperature thermodynamics for quantum spin chains