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We study quantum phase transitions in transverse-field Ising spin chains in which the couplings are random but hyperuniform, in the sense that their large-scale fluctuations are suppressed. We construct a one-parameter family of disorder…

Statistical Mechanics · Physics 2019-10-23 Philip J. D. Crowley , C. R. Laumann , Sarang Gopalakrishnan

The infinite disorder fixed point of the random transverse-field Ising model is expected to control the critical behavior of a large class of random quantum and stochastic systems having an order parameter with discrete symmetry. Here we…

Disordered Systems and Neural Networks · Physics 2015-05-19 Istvan A. Kovacs , Ferenc Igloi

The transverse-field Ising models with random exchange interactions in finite dimensions are investigated by means of a real-space renormalization-group method. The scheme yields the exact values of the critical point and critical exponent…

Disordered Systems and Neural Networks · Physics 2015-06-11 Ryoji Miyazaki , Hidetoshi Nishimori

We have developed a very efficient numerical algorithm of the strong disorder renormalization group method to study the critical behaviour of the random transverse-field Ising model, which is a prototype of random quantum magnets. With this…

Disordered Systems and Neural Networks · Physics 2011-09-21 István A. Kovács , Ferenc Iglói

We study two models having an infinite-disorder critical point --- the zero temperature random transverse-field Ising model and the random contact process --- on a star-like network composed of $M$ semi-infinite chains connected to a common…

Disordered Systems and Neural Networks · Physics 2015-06-19 Róbert Juhász

The critical behavior of the random transverse-field Ising model in finite dimensional lattices is governed by infinite disorder fixed points, several properties of which have already been calculated by the use of the strong disorder…

Disordered Systems and Neural Networks · Physics 2018-03-28 Ferenc Iglói , István A. Kovács

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

The contact process and the slightly different susceptible-infected-susceptible model are studied on long-range connected networks in the presence of random transition rates by means of a strong disorder renormalization group method and…

Disordered Systems and Neural Networks · Physics 2015-06-15 R. Juhász , I. A. Kovács

We employ an adaptation of a strong-disorder renormalization-group technique in order to analyze the ferro-paramagnetic quantum phase transition of Ising chains with aperiodic but deterministic couplings under the action of a transverse…

Statistical Mechanics · Physics 2012-03-16 Fleury J. Oliveira Filho , Maicon S. Faria , André P. Vieira

We find the cross-over behavior for the spin-spin correlation function for the 2D Ising and 3-states Potts model with random bonds at the critical point. The procedure employed is the renormalisation approach of the perturbation series…

High Energy Physics - Theory · Physics 2016-09-06 Vladimir Dotsenko , Marco Picco , Pierre Pujol

The quantum tricriticality of d-dimensional transverse Ising-like systems is studied by means of a perturbative renormalization group approach focusing on static susceptibility. This allows us to obtain the phase diagram for 3<d<4, with a…

Statistical Mechanics · Physics 2012-03-22 M. T. Mercaldo , I. Rabuffo , A. Naddeo , A. Caramico D'Auria , L. De Cesare

The spin-1/2 quantum Ising chain in a transverse random magnetic field is studied by means of the density-matrix renormalization group. The system evolves from an ordered to a paramagnetic state as the amplitude of the random field is…

Disordered Systems and Neural Networks · Physics 2009-10-30 A. Juozapavicius , S. Caprara , A. Rosengren

Here, the entanglement entropy is calculated at the quantum multicritical point of the random transverse-field Ising model (RTIM). We use an efficient implementation of the strong disorder renormalization group method in two and three…

Disordered Systems and Neural Networks · Physics 2024-04-22 István Kovács

We study the low-energy properties of the long-range random transverse-field Ising chain with ferromagnetic interactions decaying as a power alpha of the distance. Using variants of the strong-disorder renormalization group method, the…

Disordered Systems and Neural Networks · Physics 2014-08-25 Róbert Juhász , István A. Kovács , Ferenc Iglói

The real-space renormalization group (RG) treatment of random transverse-field Ising spin chains by Fisher ({\it Phys. Rev. B{\bf 51}, 6411 (1995)}) has been extended into the strongly ordered and strongly disordered Griffiths phases and…

Disordered Systems and Neural Networks · Physics 2009-11-07 Ferenc Iglói

We explore the phase diagram of Ising spins on one-dimensional chains which criss-cross in two perpendicular directions and which are connected by interchain couplings. This system is of interest as a simpler, classical analog of a quantum…

Statistical Mechanics · Physics 2017-10-18 T. Cary , R. R. P. Singh , R. T. Scalettar

Critical properties of quantum spin chains with varying degrees of disorder are studied at zero temperature by analytical and extensive density matrix renormalization methods. Generally the phase diagram is found to contain three phases.…

Disordered Systems and Neural Networks · Physics 2009-11-07 Enrico Carlon , Péter Lajko , Ferenc Iglói

Quenched randomness can lead to robust non-equilibrium phases of matter in periodically driven (Floquet) systems. Analyzing transitions between such dynamical phases requires a method capable of treating the twin complexities of disorder…

Disordered Systems and Neural Networks · Physics 2018-11-12 William Berdanier , Michael Kolodrubetz , S. A. Parameswaran , Romain Vasseur

We present a surprisingly simple approach to high-accuracy calculations of critical properties of the three-dimensional Ising model. The method uses a modified block-spin transformation with a tunable parameter to improve convergence in…

Statistical Mechanics · Physics 2017-05-24 Dorit Ron , Achi Brandt , Robert H. Swendsen

Quantum systems can exhibit a great deal of universality at low temperature due to the structure of ground states and the critical points separating distinct states. On the other hand, quantum time evolution of the same systems involves all…

Disordered Systems and Neural Networks · Physics 2014-06-11 Ronen Vosk , Ehud Altman
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