Abstract

We present high-resolution measurements of the thermal-expansion coefficient and the magnetostriction along the a axis of ${\mathrm{CuGeO}}_{3}$ in magnetic fields up to 16 T. From the pronounced anomalies of the lattice constant a, occurring for both temperature- and field-induced phase transitions, clear structural differences between the uniform, dimerized, and incommensurate phases are established. A precise field temperature phase diagram is derived and compared in detail with existing theories. Although there is fair agreement with the calculations within the Cross-Fisher theory, some significant and systematic deviations are present. In addition, our data yield a high-resolution measurement of the field and temperature dependence of the spontaneous strain scaling with the spin-Peierls order parameter. Both the zero-temperature values as well as the critical behavior of the order parameter are nearly field independent in the dimerized phase. A spontaneous strain is also found in the incommensurate high-field phase, which is significantly smaller and shows a different critical behavior than that in the low-field phase. The analysis of the temperature dependence of the spontaneous strain yields a pronounced field dependence within the dimerized phase, whereas the temperature dependence of the incommensurate lattice modulation compares well with that of the dimerization in zero magnetic field.

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