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Theory of Smeared Quantum Phase Transitions

2008/02/29 by J. A. Hoyos, José A. Hoyos, Thomas Vojta · 2 citations
Economics, Econometrics and Finance · Physics and Astronomy · #Complex Systems and Time Series Analysis #Quantum many-body systems #Theoretical and Computational Physics #cond-mat.stat-mech #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.100.240601

published as Phys. Rev. Lett. 100, 240601 (2008) · 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

openalex publication_date 2008/06/17 · arxiv created 2008/06/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

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