Ashkin–Teller Formalism for Elastic Response of DNA Molecule to External Force and Torque

常哲,; 王平,; 郑映红,; Chang, Z. P.; P(王鹏), Wang; Meng, YH

doi:10.1088/0253-6102/49/2/57

Cited by 28 publications

(12 citation statements)

References 23 publications

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“…The second term can now be expanded in inverse powers of the large local energy scale g i or K i . In the strong-coupling regime, ǫ ≫ 1, the strongdisorder renormalization group is controlled by the first two lines of (17). It does not depend on the N -products η i which are slaved to the σ i and τ i via the large brackets in the third and forth lines of (17).…”

Section: B Variable Transformation For N =mentioning

confidence: 99%

“…The strength of the inter-color coupling can be characterized by the ratios ǫ h,i = g i /h i and ǫ J,i = K i /J i . In addition to its fundamental interest, the Ashkin-Teller model has been applied to absorbed atoms on surfaces [14], organic magnets, current loops in high-temperature superconductors [15,16] as well as the elastic response of DNA molecules [17]. The quantum Ashkin-Teller chain (1) is invariant under the dual-…”

Section: N -Color Quantum Ashkin-teller Chainmentioning

confidence: 99%

“…As in the three-color case, the N -product variable η i does not appear in the terms containing the large energies g i and K i . We now implement a strong-disorder renormalization group for the Hamiltonian (17). This can be conveniently done using the projection method described, e.g., by Auerbach [27] and applied to the random quantum Ashkin-Teller model in Ref.…”

Section: B Variable Transformation For N =mentioning

confidence: 99%

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Strong-randomness phenomena in quantum Ashkin–Teller models

et al. 2015

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The N -color quantum Ashkin-Teller spin chain is a prototypical model for the study of strongrandomness phenomena at first-order and continuous quantum phase transitions. In this paper, we first review the existing strong-disorder renormalization group approaches to the random quantum Ashkin-Teller chain in the weak-coupling as well as the strong-coupling regimes. We then introduce a novel general variable transformation that unifies the treatment of the strong-coupling regime. This allows us to determine the phase diagram for all color numbers N , and the critical behavior for all N = 4. In the case of two colors, N = 2, a partially ordered product phase separates the paramagnetic and ferromagnetic phases in the strong-coupling regime. This phase is absent for all N > 2, i.e., there is a direct phase boundary between the paramagnetic and ferromagnetic phases. In agreement with the quantum version of the Aizenman-Wehr theorem, all phase transitions are continuous, even if their clean counterparts are of first order. We also discuss the various critical and multicritical points. They are all of infinite-randomness type, but depending on the coupling strength, they belong to different universality classes.

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Section: B Variable Transformation For N =mentioning

confidence: 99%

Section: N -Color Quantum Ashkin-teller Chainmentioning

confidence: 99%

Section: B Variable Transformation For N =mentioning

confidence: 99%

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Strong-randomness phenomena in quantum Ashkin–Teller models

et al. 2015

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“…Recent researches of this Ising model and its phase diagrams with four spin interaction and some of its applications have been done [4][5][6][7][8].…”

Section: Introductionmentioning

confidence: 99%

Numerical study of the spin-3/2 Ashkin-Teller model

Boudefla¹,

Bekhechi²,

Hontinfinde³

2015

Condens. Matter Phys.

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The study of the Ashkin-Teller model (ATM) of spin-3/2 on a hypercubic lattice is undertaken via Monte Carlo simulation. The phase diagrams are displayed and discussed in the physical parameter space. Rich physical properties are recovered, namely the second order transition and multicritical points. The phase diagrams have been obtained by varying the strength describing the four spin interaction and the single ion potential. This model shows a new high temperature partially ordered phase, called 〈S〉 and a new Baxter 3/2 ground state which do not exist either in the spin-1/2 ATM or in the spin-1 ATM.

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“…Besides its fundamental interest, different versions of the Ashkin-Teller model have been used to describe absorbed atoms on surfaces 30 , organic magnets, current loops in hightemperature superconductors 31,32 , as well as the elastic response of DNA molecules. 33 In the clean quantum Ashkin-Teller chain, the interactions and coupling strengths are uniform in space, J i ≡ J, K i ≡ K, h i ≡ h, and g i ≡ g. The bulk phases of this model are easily understood qualitatively. In the weakcoupling regime ǫ J , ǫ h ≪ 1, the system is in the paramagnetic phase if the transverse fields are larger than the interactions, h ≫ J.…”

Section: A Quantum Ashkin-teller Chainmentioning

confidence: 98%

Monte Carlo simulations of the disordered three-color quantum Ashkin-Teller chain

Ibrahim

Vojta

2017

Phys. Rev. B

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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 are rounded by the quenched disorder. For weak inter-color coupling, the resulting emergent quantum critical point between the paramagnetic phase and the magnetically ordered Baxter phase is of infinite-randomness type and belongs to the universality class of the random transverse-field Ising model, as predicted by recent strong-disorder renormalization group calculations. We also find evidence for unconventional critical behavior in the case of strong inter-color coupling, even though an unequivocal determination of the universality class is beyond our numerical capabilities. We compare our results to earlier simulations, and we discuss implications for the classification of phase transitions in the presence of disorder.

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Ashkin–Teller Formalism for Elastic Response of DNA Molecule to External Force and Torque

Cited by 28 publications

References 23 publications

Strong-randomness phenomena in quantum Ashkin–Teller models

Strong-randomness phenomena in quantum Ashkin–Teller models

Numerical study of the spin-3/2 Ashkin-Teller model

Monte Carlo simulations of the disordered three-color quantum Ashkin-Teller chain

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