@article{7bb337fc1de844839114edb7aa5afe61,
title = "Exact bounds for dynamical critical exponents of transverse-field Ising chains with a correlated disorder",
abstract = "This study investigates the dynamical critical exponent of disordered Ising chains under transverse fields to examine the effect of a correlated disorder on quantum phase transitions. The correlated disorder, where the on-site transverse field depends on the nearest-neighbor coupling strengths connecting the site, gives a qualitatively different result from the uncorrelated disorder. In the uncorrelated disorder cases where the transverse field is either homogeneous over sites or random independently of the nearest-neighbor coupling strengths, the dynamical critical exponent is infinite. In contrast, in the presence of the correlated disorder, we analytically show that the dynamical critical exponent is finite. We also show that the dynamical critical exponent depends on the tuning process of the transverse field strengths.",
keywords = "Disordered system, Quantum phase transition",
author = "Tatsuhiko Shirai and Shu Tanaka",
note = "Funding Information: T.S. thanks Kensuke Tamura, Sei Suzuki, and Jos{\'e} A Hoyos for the fruitful discussions and comments. The authors are very grateful to Hosho Katsura for helping us improve the presentation, especially that for the lower bound of Δ (the upper bound of z). T.S. was partially supported by JSPS, Japan KAKENHI (Grant No. 18K13466). S.T. was partially supported by JSPS, Japan KAKENHI (Grant No. 19H01553). This paper is partially based on the results obtained from a project commissioned by the New Energy and Industrial Technology Development Organization (NEDO). T.S. and S.T. thank the Supercomputer Center, the Institute for Solid State Physics, the University of Tokyo, and the Yukawa Institute for Theoretical Physics for the use of the facilities. Funding Information: T.S. thanks Kensuke Tamura, Sei Suzuki, and Jos{\'e} A Hoyos for the fruitful discussions and comments. The authors are very grateful to Hosho Katsura for helping us improve the presentation, especially that for the lower bound of (the upper bound of ). T.S. was partially supported by JSPS, Japan KAKENHI (Grant No. 18K13466 ). S.T. was partially supported by JSPS, Japan KAKENHI (Grant No. 19H01553 ). This paper is partially based on the results obtained from a project commissioned by the New Energy and Industrial Technology Development Organization (NEDO). T.S. and S.T. thank the Supercomputer Center, the Institute for Solid State Physics, the University of Tokyo, and the Yukawa Institute for Theoretical Physics for the use of the facilities. Publisher Copyright: {\textcopyright} 2021 Elsevier Inc.",
year = "2021",
month = dec,
doi = "10.1016/j.aop.2021.168483",
language = "English",
volume = "435",
journal = "Annals of Physics",
issn = "0003-4916",
publisher = "Academic Press Inc.",
}