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Condensed Matter > Disordered Systems and Neural Networks

arXiv:1912.06035 (cond-mat)
[Submitted on 12 Dec 2019]

Title:Reentrant Random Quantum Ising Antiferromagnet

Authors:Péter Lajkó, Jean-Christian Anglès d'Auriac, Heiko Rieger, Ferenc Iglói
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Abstract:We consider the quantum Ising chain with uniformly distributed random antiferromagnetic couplings $(1 \le J_i \le 2)$ and uniformly distributed random transverse fields ($\Gamma_0 \le \Gamma_i \le 2\Gamma_0$) in the presence of a homogeneous longitudinal field, $h$. Using different numerical techniques (DMRG, combinatorial optimisation and strong disorder RG methods) we explore the phase diagram, which consists of an ordered and a disordered phase. At one end of the transition line ($h=0,\Gamma_0=1$) there is an infinite disorder quantum fixed point, while at the other end ($h=2,\Gamma_0=0$) there is a classical random first-order transition point. Close to this fixed point, for $h>2$ and $\Gamma_0>0$ there is a reentrant ordered phase, which is the result of quantum fluctuations by means of an order through disorder phenomenon.
Comments: 10 pages, 7 figures
Subjects: Disordered Systems and Neural Networks (cond-mat.dis-nn); Quantum Physics (quant-ph)
Cite as: arXiv:1912.06035 [cond-mat.dis-nn]
  (or arXiv:1912.06035v1 [cond-mat.dis-nn] for this version)
  https://doi.org/10.48550/arXiv.1912.06035
Journal reference: Phys. Rev. B 101, 024203 (2020)
Related DOI: https://doi.org/10.1103/PhysRevB.101.024203

Submission history

From: Ferenc Igloi [view email]
[v1] Thu, 12 Dec 2019 15:35:55 UTC (131 KB)
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