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We give a heuristic argument for disorder rounding of a first order quantum phase transition into a continuous phase transition. From both weak and strong disorder analysis of the the N-color quantum Ashkin-Teller model in one spatial…

Disordered Systems and Neural Networks · Physics 2008-01-08 Pallab Goswami , David Schwab , Sudip Chakravarty

We investigate the effects of quenched disorder on first-order quantum phase transitions on the example of the $N$-color quantum Ashkin-Teller model. By means of a strong-disorder renormalization group, we demonstrate that quenched disorder…

Strongly Correlated Electrons · Physics 2013-01-17 Fawaz Hrahsheh , José A. Hoyos , Thomas Vojta

We investigate the zero-temperature quantum phase transitions of the disordered three-color quantum Ashkin-Teller spin chain by means of large-scale Monte Carlo simulations. We find that the first-order phase transitions of the clean system…

Disordered Systems and Neural Networks · Physics 2017-02-08 Ahmed K. Ibrahim , Thomas Vojta

An intriguing result of statistical mechanics is that a first-order phase transition can be rounded by disorder coupled to energy-like variables. In fact, even more intriguing is that the rounding may manifest itself as a critical point,…

Disordered Systems and Neural Networks · Physics 2012-10-10 Arash Bellafard , Helmut G. Katzgraber , Matthias Troyer , Sudip Chakravarty

We study the effects of quenched disorder on the first-order phase transition in the two-dimensional three-color Ashkin-Teller model by means of large-scale Monte Carlo simulations. We demonstrate that the first-order phase transition is…

Disordered Systems and Neural Networks · Physics 2015-06-09 Qiong Zhu , Xin Wan , Rajesh Narayanan , José A. Hoyos , Thomas Vojta

We investigate the effect of quenched bond disorder on the two-dimensional three-color Ashkin-Teller model, which undergoes a first-order phase transition in the absence of impurities. This is one of the simplest and striking models in…

Disordered Systems and Neural Networks · Physics 2015-06-24 Arash Bellafard , Sudip Chakravarty , Matthias Troyer , Helmut G. Katzgraber

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

The scaling theory of critical phenomena has been successfully extended for classical first order transitions even though the correlation length does not diverge in these transitions. In this paper we apply the scaling ideas to quantum…

Strongly Correlated Electrons · Physics 2009-11-10 Mucio A. Continentino , Andre S. Ferreira

Experimentally there exist many materials with first-order phase transitions at finite temperature that display quantum criticality. Classically, a strain-energy density coupling is known to drive first-order transitions in compressible…

Strongly Correlated Electrons · Physics 2021-01-05 Premala Chandra , Piers Coleman , Mucio A. Continentino , Gilbert G. Lonzarich

Experimentally there exist many materials with first-order phase transitions at finite temperature that display quantum criticality. Classically a strain-energy density coupling is known to drive first-order transitions in compressible…

Strongly Correlated Electrons · Physics 2021-01-04 Premala Chandra , Piers Coleman , Mucio A. Continentino , Gilbert G. Lonzarich

The $N$-color quantum Ashkin-Teller spin chain is a prototypical model for the study of strong-randomness phenomena at first-order and continuous quantum phase transitions. In this paper, we first review the existing strong-disorder…

Strongly Correlated Electrons · Physics 2015-10-09 Hatem Barghathi , Fawaz Hrahsheh , José A. Hoyos , Rajesh Narayanan , Thomas Vojta

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 presence of frozen-in or quenched disorder in a system can often modify the nature of its phase transition. A particular instance of this phenomenon is the so-called rounding effect: it has been shown in many cases that the free-energy…

Mathematical Physics · Physics 2014-11-14 Hubert Lacoin

We study the nature of quantum phase transitions out of $\mathbb{Z}_4$ ordered phases in quantum loop models on a zig-zag ladder. We report very rich critical behavior that includes a pair of Ising transitions, a multi-critical…

Strongly Correlated Electrons · Physics 2024-11-27 Bowy M. La Rivière , Natalia Chepiga

We study the interplay between regular and chaotic dynamics at the critical point of a generic first-order quantum phase transition in an interacting boson model of nuclei. A classical analysis reveals a distinct behavior of the coexisting…

Nuclear Theory · Physics 2011-10-13 M. Macek , A. Leviatan

First order quantum phase transitions (1QPTs) are signaled, in the thermodynamic limit, by discontinuous changes in the ground state properties. These discontinuities affect expectation values of observables, including spatial correlations.…

Quantum Physics · Physics 2018-07-12 A. Yuste , C. Cartwright , G. De Chiara , A. Sanpera

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

We present the first detailed numerical study in three dimensions of a first-order phase transition that remains first-order in the presence of quenched disorder (specifically, the ferromagnetic/paramagnetic transition of the site-diluted…

Statistical Mechanics · Physics 2008-02-13 L. A. Fernandez , A. Gordillo-Guerrero , V. Martin-Mayor , J. J. Ruiz-Lorenzo

A salient feature of cyclically driven first-order phase transformations in crystals is their scale-free avalanche dynamics. This behavior has been linked to the presence of a classical critical point but the mechanism leading to…

Disordered Systems and Neural Networks · Physics 2016-10-14 Francisco J. Perez-Reche , Carles Triguero , Giovanni Zanzotto , Lev Truskinovsky

The dynamics at the critical-point of a general first-order quantum phase transition in a finite system is examined, from an algebraic perspective. Suitable Hamiltonians are constructed whose spectra exhibit coexistence of states…

Nuclear Theory · Physics 2014-11-18 A. Leviatan
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