Finite-size scaling analysis of the two-dimensional random transverse-field Ising ferromagnet

• URL: http://arxiv.org/abs/2310.14756v1
• Date: Mon, 23 Oct 2023 09:47:23 GMT
• Title: Finite-size scaling analysis of the two-dimensional random transverse-field Ising ferromagnet
• Authors: Jiwon Choi, Seung Ki Baek
• Abstract summary: In one dimension, the critical properties are governed by an infinite-randomness fixed point. In another dimension, the critical point remains unsettled among quantum Monte Carlo studies. We perform extensive QMC simulations to locate the quantum critical point.
• Score: 0.7342677574855649
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The random transverse-field Ising ferromagnet (RTFIF) is a highly disordered quantum system which contains randomness in the coupling strengths as well as in the transverse-field strengths. In one dimension, the critical properties are governed by an infinite-randomness fixed point (IRFP), and renormalization-group studies argue that the two-dimensional (2D) model is also governed by an IRFP. However, even the location of the critical point remains unsettled among quantum Monte Carlo (QMC) studies. In this work, we perform extensive QMC simulations to locate the quantum critical point and attempt a finite-size scaling analysis to observe the critical behavior. We estimate the critical field strength of the 2D RTFIF as $\Gamma_c = 7.52(2)$, together with critical exponents such as $\beta=1.5(3)$, $\nu = 1.6(3)$, and $z=3.3(3)$ or $\psi=0.50(3)$. We have also considered the McCoy-Wu model, which has randomness in the ferromagnetic coupling strengths but not in the transverse-field strength. Our QMC calculation shows that the critical behavior of the 2D McCoy-Wu model is closer to that of the 2D transverse-field Ising spin glass than to that of the 2D RTFIF. These numerical findings enhance our understanding of disordered 2D quantum systems.

Related papers

• Kinetic magnetism and stripe order in the doped AFM bosonic ${t-J}$ model [0.0]
  We explore the strong coupling limit of doped bosonic quantum magnets, specifically the antiferromagnetic (AFM) bosonic $t-J$ model. We find that in the low doping regime, bosonic holes tend to form partially-filled stripes, akin to those observed in high-$T_c$ cuprates. Our findings shed light on the role of particle statistics in strongly correlated quantum matter and connect to phases in the 2D Fermi-Hubbard and $t-J$ models.
  arXiv  Detail & Related papers  (2024-10-01T17:50:10Z)
• Unveiling nonmagnetic phase and many-body entanglement in two-dimensional random quantum magnets Sr$_2$CuTe$_{1-x}$W$_x$O$_6$ [2.7204116565403744]
  We capture the physics of a series of spin stripe/2$ Heisenberg antiferromagnet compounds on a square lattice. An intermediate range of $x in [0.08, 0.55]$ is identified for a nonmagnetic phase without the long-range N'eel or stripe order. Deep inside this phase around $x = 0.3$, we observe signatures potentially linked to randomness-induced short-range spin-liquid-like states.
  arXiv  Detail & Related papers  (2024-07-08T13:22:51Z)
• Quantum Supercriticality in the Ising Model and Rydberg Atom Array [2.9659182523095047]
  Supercriticality, featured with universal scaling behaviors, emerges as an intriguing phenomenon proximate to the classical liquid-gas critical point. In this study, we extend this significant concept to quantum many-body systems near the quantum critical point (QCP) The supercritical, fluid-like, quantum states are found to be strongly fluctuating and highly entangled.
  arXiv  Detail & Related papers  (2024-07-07T17:52:02Z)
• KPZ scaling from the Krylov space [83.88591755871734]
  Recently, a superdiffusion exhibiting the Kardar-Parisi-Zhang scaling in late-time correlators and autocorrelators has been reported. Inspired by these results, we explore the KPZ scaling in correlation functions using their realization in the Krylov operator basis.
  arXiv  Detail & Related papers  (2024-06-04T20:57:59Z)
• Robust spectral $\pi$ pairing in the random-field Floquet quantum Ising model [44.84660857803376]
  We study level pairings in the many-body spectrum of the random-field Floquet quantum Ising model. The robustness of $pi$ pairings against longitudinal disorder may be useful for quantum information processing.
  arXiv  Detail & Related papers  (2024-01-09T20:37:48Z)
• Thermal masses and trapped-ion quantum spin models: a self-consistent approach to Yukawa-type interactions in the $λ\!φ^4$ model [44.99833362998488]
  A quantum simulation of magnetism in trapped-ion systems makes use of the crystal vibrations to mediate pairwise interactions between spins. These interactions can be accounted for by a long-wavelength relativistic theory, where the phonons are described by a coarse-grained Klein-Gordon field. We show that thermal effects, which can be controlled by laser cooling, can unveil this flow through the appearance of thermal masses in interacting QFTs.
  arXiv  Detail & Related papers  (2023-05-10T12:59:07Z)
• Universality of critical dynamics with finite entanglement [68.8204255655161]
  We study how low-energy dynamics of quantum systems near criticality are modified by finite entanglement. Our result establishes the precise role played by entanglement in time-dependent critical phenomena.
  arXiv  Detail & Related papers  (2023-01-23T19:23:54Z)
• Spin Current Density Functional Theory of the Quantum Spin-Hall Phase [59.50307752165016]
  We apply the spin current density functional theory to the quantum spin-Hall phase. We show that the explicit account of spin currents in the electron-electron potential of the SCDFT is key to the appearance of a Dirac cone.
  arXiv  Detail & Related papers  (2022-08-29T20:46:26Z)
• SU(2)-Symmetric Spin-Boson Model: Quantum Criticality, Fixed-Point Annihilation, and Duality [0.582519087605215]
  We present high-accuracy quantum Monte Carlo results for the SU(2)-symmetric $S=1/2$ spin-boson (or Bose-Kondo) model. Using a detailed scaling analysis, we provide direct numerical evidence for the collision and annihilation of two RG fixed points at $sast = 0.6540(2)$.
  arXiv  Detail & Related papers  (2022-03-04T19:00:19Z)
• Quantum multicritical point in the two- and three-dimensional random transverse-field Ising model [0.0]
  Quantum multicritical points (QMCPs) emerge at the junction of two or more quantum phase transitions. We characterize the QMCP of an interacting heterogeneous quantum system in two and three dimensions. The QMCP of the RTIM is found to exhibit ultraslow, activated dynamic scaling, governed by an infinite disorder fixed point.
  arXiv  Detail & Related papers  (2021-11-12T17:19:26Z)
• Phase diagram of a distorted kagome antiferromagnet and application to Y-kapellasite [50.591267188664666]
  We reveal a rich ground state phase diagram even at the classical level. The presented model opens a new direction in the study of kagome antiferromagnets.
  arXiv  Detail & Related papers  (2021-07-28T18:00:03Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.