Phase transition in an 1D interacting dimers: An exact and simulational study

In this work we investigate the phase transition of interacting dimers. The results were obtained by the transfer matrix technique and by entropic simulations. The phase diagram of the system was elaborated showing the phase boundaries. From the proper definition of the order parameter, it is possible to obtain the critical exponents 1ν′=0.48680(46),γ′ν′=1.2522(37) and β′ν′=0.01726(43) and the critical temperature Tc=0.06320(36), for the transition between the phase fulfilled with horizontal dimers and the empty lattice.