One-Dimensional Disordered Density Waves and Superfluids: The Role of Quantum Phase Slips and Thermal Fluctuations

The low temperature phase diagram of $1\mathrm{D}$ disordered quantum systems such as charge or spin density waves, superfluids, and related systems is considered by a full finite- $T$ renormalization group approach for the first time. At zero temperature the consideration of quantum phase slips leads to a new scenario for the unpinning (delocalization) transition. In the strong pinning limit the model is solved exactly. At finite $T$ a rich crossover diagram with various scaling regions is found which reflects the zero temperature quantum critical behavior.