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We use a tensor network strong-disorder renormalization group (tSDRG) method to study spin-1 random Heisenberg antiferromagnetic chains. The ground state of the clean spin-1 Heisenberg chain with uniform nearest-neighbor couplings is a…

Disordered Systems and Neural Networks · Physics 2020-04-22 Zheng-Lin Tsai , Pochung Chen , Yu-Cheng Lin

We use a simple real-space renormalization group approach to investigate the critical behavior of the quantum Ashkin-Teller model, a one-dimensional quantum spin chain possessing a line of criticality along which critical exponents vary…

Strongly Correlated Electrons · Physics 2015-11-02 Aroon O'Brien , Stephen D. Bartlett , Andrew C. Doherty , Steven T. Flammia

We use a tensor network renormalization group method to study random $S=2$ antiferromagnetic Heisenberg chains with alternating bond strength distributions. In the absence of randomness, bond alternation induces two quantum critical points…

Strongly Correlated Electrons · Physics 2023-12-18 Yen-Tung Lin , Shao-Fu Liu , Pochung Chen , Yu-Cheng Lin

We use QMC simulations to study effects of disorder on the $S=1/2$ Heisenberg model with exchange constant $J$ on the square lattice supplemented by multispin interactions $Q$. It was found recently [L. Lu et al., Phys. Rev. X 8, 041040…

Strongly Correlated Electrons · Physics 2020-09-09 Lu Liu , Wenan Guo , Anders W. Sandvik

A zero temperature real space renormalization group (RG) approach is used to investigate the role of disorder near the quantum critical point (QCP) of a Kondo necklace (XY-KN) model. In the pure case this approach yields $J_{c}=0$ implying…

Disordered Systems and Neural Networks · Physics 2009-11-07 T. G. Rappoport , A. Saguia , B. Boechat , M. A. Continentino

We investigate the two-dimensional four-color Ashkin-Teller model by means of large-scale Monte-Carlo simulations. We demonstrate that the first-order phase transition of the clean system is destroyed by random disorder introduced via site…

Disordered Systems and Neural Networks · Physics 2017-06-19 Ahmed K. Ibrahim , Thomas Vojta

We examine the magnetic correlations in quantum spin models that were derived recently as effective low-energy theories for electronic correlation effects on the edge states of graphene nanoribbons. For this purpose, we employ quantum Monte…

Mesoscale and Nanoscale Physics · Physics 2017-10-11 Cornelie Koop , Stefan Wessel

We investigate the collective dynamics of a population of XY model-type oscillators, globally coupled via non-separable interactions that are randomly chosen from a positive or negative value, and subject to thermal noise controlled by…

Adaptation and Self-Organizing Systems · Physics 2022-06-29 Hyunsuk Hong , Erik Andreas Martens

We present results on the low-frequency dynamical and transport properties of random quantum systems whose low temperature ($T$), low-energy behavior is controlled by strong disorder fixed points. We obtain the momentum and frequency…

Disordered Systems and Neural Networks · Physics 2009-10-31 Olexei Motrunich , Kedar Damle , David A. Huse

We develop an efficient numerical method to study the quantum critical behavior of disordered systems with $\mathcal{O}(N)$ order-parameter symmetry in the large$-N$ limit. It is based on the iterative solution of the large$-N$ saddle-point…

Statistical Mechanics · Physics 2015-06-15 David Nozadze , Thomas Vojta

We investigate the decoherence dynamics of continuous variable entanglement as the system-environment coupling strength varies from the weak-coupling to the strong-coupling regimes. Due to the existence of localized modes in the…

Quantum Physics · Physics 2016-10-14 Yu-Chen Lin , Pei-Yun Yang , Wei-Min Zhang

One-dimensional chains of non-Abelian quasiparticles described by $SU(2)_k$ Chern-Simons-Witten theory can enter random singlet phases analogous to that of a random chain of ordinary spin-1/2 particles (corresponding to $k \to \infty$). For…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 N. E. Bonesteel , Kun Yang

We investigate the quantum phase transition of itinerant ferromagnets. It is shown that correlation effects in the underlying itinerant electron system lead to singularities in the order parameter field theory that result in an effective…

Statistical Mechanics · Physics 2017-09-27 Thomas Vojta , D. Belitz , T. R. Kirkpatrick , R. Narayanan

The quantum renormalization group method is applied to study the quantum criticality and entanglement entropy of the ground state of the Ising chain in the presence of antisymmetric anisotropic couplings and alternating exchange…

Strongly Correlated Electrons · Physics 2012-08-09 Xiang Hao

Random spin-3/2 antiferromagnetic Heisenberg chains are investigated using an asymptotically exact renormalization group. Randomness is found to induce a quantum phase transition between two random-singlet phases. In the strong randomness…

Disordered Systems and Neural Networks · Physics 2009-11-07 Gil Refael , Stefan Kehrein , Daniel S. Fisher

We apply Density Matrix Renormalization Group methods to study the phase diagram of the quantum ANNNI model in the region of low frustration where the ferromagnetic coupling is larger than the next-nearest-neighbor antiferromagnetic one. By…

Statistical Mechanics · Physics 2010-11-05 Matteo Beccaria , Massimo Campostrini , Alessandra Feo

We examine the influence of quenched disorder on the superconductor-metal transition, as described by a theory of overdamped Cooper pairs which repel each other. The self-consistent pairing eigenmodes of a quasi-one dimensional wire are…

Disordered Systems and Neural Networks · Physics 2008-07-18 Adrian Del Maestro , Bernd Rosenow , Markus Mueller , Subir Sachdev

We investigate the low-energy spectral properties and robustness of the topological phase of color code, which is a quantum spin model for the aim of fault-tolerant quantum computation, in the presence of a uniform magnetic field or Ising…

Strongly Correlated Electrons · Physics 2013-12-13 Saeed S. Jahromi , S Farhad Masoudi , Mehdi Kargarian , Kai Phillip Schmidt

We consider two different collective spin systems subjected to strong dissipation -- on the same scale as interaction strengths and external fields -- and show that either continuous or discontinuous dissipative quantum phase transitions…

Quantum Physics · Physics 2008-09-23 S. Morrison , A. S. Parkins

The critical behavior of a model with N-vector complex order parameter and three quartic coupling constants that describes phase transitions in unconventional superconductors, helical magnets, stacked triangular antiferromagnets, superfluid…

Statistical Mechanics · Physics 2009-10-31 S. A. Antonenko , A. I. Sokolov