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For the frustrated two-dimensional $S=1/2$ antiferromagnetic Heisenberg modelclose to quantum phase transition we consider the singlet ground statesretaining both translational and SU(2) symmetry. Besides usually discussedcheckerboard, spin-liquid and stripe states an unconventional state with twocoexisting long-range orders appears to be possible at sufficiently largedamping of spin excitations. The problem is treated in the frames ofself-consistent spherically symmetric approach.

Unconventional state with two coexisting long-range orders for frustrated Heisenberg model at quantum phase transition