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We investigate a two-leg Heisenberg spin ladder with cyclic four-spinexchange by exploiting a newly-developed tensor network algorithm. Thealgorithm allows to efficiently compute the ground-state fidelity per latticesite, which enables us to establish the ground-state phase diagram for quantumlattice many-body systems. The latter is based on the observation that, for aninfinite-size system, any singularity on a ground-state fidelity surfacecharacterizes a critical point, at which the system undergoes a phasetransition. For the two-leg Heisenberg spin-1/2 ladder with cyclic four-spinexchange, six different phases are identified: the ferromagnetic phase, therung singlet phase, the staggered dimer phase, the scalar chirality phase, thedominant vector chirality region, and the dominant collinear spin region. Ourfindings are in a good agreement with the previous studies from the exactdiagonalization and the density-matrix renormalization group.

Ground-state fidelity and quantum criticality in a two-leg ladder with cyclic four-spin exchange