Investigation of frustrated and dimerized classical Heisenberg chains

► Using the classical LK method, the dimerized frustrated model is studied. ► The classical ground-state phase diagram of the model shown a rich phase diagram. ► The phase diagram include first-order and second-order phase transitions. ► The critical exponent of the spiral order parameter is found to be 1/2. ► Two first-order boundaries separate the antiferromagnetic phase from the spiral phase.