English

Theory of smeared quantum phase transitions

Strongly Correlated Electrons 2008-06-23 v3 Statistical Mechanics

Abstract

We present an analytical strong-disorder renormalization group theory of the quantum phase transition in the dissipative random transverse-field Ising chain. For Ohmic dissipation, we solve the renormalization flow equations analytically, yielding asymptotically exact results for the low-temperature properties of the system. We find that the interplay between quantum fluctuations and Ohmic dissipation destroys the quantum critical point by smearing. We also determine the phase diagram and the behavior of observables in the vicinity of the smeared quantum phase transition.

Keywords

Cite

@article{arxiv.0802.2303,
  title  = {Theory of smeared quantum phase transitions},
  author = {J. A. Hoyos and Thomas Vojta},
  journal= {arXiv preprint arXiv:0802.2303},
  year   = {2008}
}

Comments

4 pages, 1 eps figure embedded; (v2) contains the full joint field and moment distribution + we fixed a few typos; (v3) published version + typos corrected

R2 v1 2026-06-21T10:13:07.907Z