Topological quasi-one-dimensional state of interacting spinless electrons

Sun, Gaoyong; Vekua, T.

doi:10.1103/physrevb.93.205137

Cited by 11 publications

(5 citation statements)

References 42 publications

(66 reference statements)

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“…Examples include structural transitions of dipolar particles in an elongated trap [1] and in ion traps [2][3][4][5], one-dimensional Fermi gas with attractive interactions [6], coupled bosonic chains [7,8], insulator-metal transition induced by a tilted magnetic field in graphene [9], and spin polarized electrons in a one-dimensional quantum wire near a conductance plateau transition [10][11][12][13]. This transition also occurs in certain lattice models of fermions [14].…”

Section: Introductionmentioning

confidence: 99%

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Fate of the one-dimensional Ising quantum critical point coupled to a gapless boson

et al. 2017

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The problem of a quantum Ising degree of freedom coupled to a gapless bosonic mode appears naturally in many one-dimensional systems, yet surprisingly little is known how such a coupling affects the Ising quantum critical point. We investigate the fate of the critical point in a regime, where the weak coupling renormalization group (RG) indicates a flow toward strong coupling. Using a renormalization group analysis and numerical density matrix renormalization group (DMRG) calculations we show that, depending on the ratio of velocities of the gapless bosonic mode and the Ising critical fluctuations, the transition may remain continuous or become fluctuation-driven first order. The two regimes are separated by a tricritical point of a novel type.

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Section: Introductionmentioning

confidence: 99%

“…(A4) and exapnding b = 1 + d for infinitesimal d , we obtain the values for z and η B given in Eqs. ( 12)- (13).…”

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confidence: 99%

Fate of the one-dimensional Ising quantum critical point coupled to a gapless boson

et al. 2017

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“…It is believed that the fidelity F (h, h + δh) can characterize the quantum phase transition [55][56][57][58][59][60][61][62] due to the qualitative differences of the ground state |ψ(h) at the phase transition point h = h c . Alternatively, a more convenient quantity -fidelity susceptibility χ F (h) that appears as the leading quadratic term in the expansion of ground-state fidelity F (h, h + δh) is defined as…”

mentioning

confidence: 99%

Fidelity susceptibility study of quantum long-range antiferromagnetic Ising chain

Sun

2017

Phys. Rev. A

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We study the fidelity susceptibility of quantum antiferromagnetic Ising chain with a long-range power law interaction 1/r α using the large-scale density matrix renormalization group method. We find that the critical adiabatic dimension µ = 2 and the critical exponent of the correlation length ν = 1 for arbitrary α > 0, indicating all quantum phase transitions are second-order Ising transitions. In addition, we numerically determine the complete phase diagram for 0 < α ≤ 3 from the data collapse of the fidelity susceptibility and show that the critical point hc changes monotonously with respect to α. This work will shed light on the nature of phase transitions in the quantum long-range antiferromagnetic Ising chain from a quantum information perspective.

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“…In the wellbore cleaning problem of extended-reach drillings with high-inclination sections, D hyd , D hyd and D hyd are chosen as the basic physical quantities, and all other quantities can be obtained by these three basic quantities; the three basic measures chosen are the mass basic measure [M], the time basic measure [T], and the distance basic measure [L] (Sun, 2013) [16]. We can know that n = 13 and m = 3 according to the Π theorem, so there exist n − m = 10 dimensionless physical quantities.…”

Section: Symbols Of Variablesmentioning

confidence: 99%

A New Model for Cleaning Small Cuttings in Extended-Reach Drilling Based on Dimensional Analysis

Jin,

Wang,

Deng

et al. 2023

Applied Sciences

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A wellbore’s cleanliness affects drilling efficiency, economy and drilling safety directly in extended-reach drilling operations. Wellbore cleaning in extended-reach drilling has always been a tough problem. Field experience has shown that inefficient transport of small cuttings is a main factor for excessive drag and torque during extended-reach drilling. However, very little is known about the transport of small cuttings. In this paper, we use the data fitting method of dimensional analysis and regression analysis to establish a wellbore cleaning model for high-inclination sections, then use water and Polyanionic Cellulose (PAC) as a drilling fluid to analyze the settlement cleaning of small cuttings in the wellbore. The data from the example wells were used for field simulations to finally derive many factors like drilling fluid density, drilling fluid displacement, drill pipe rotation speed, diameter of cuttings and annulus hydraulic diameter, which affect the thickness of the dimensionless cutting bed. The results show that the dimensionless cutting thickness decreases with increasing drilling fluid density, drilling fluid displacement and drill pipe rotation speed; and increases with increasing cutting size and annular hydraulics diameter. Meanwhile, the effect of drilling fluid discharge, drill pipe rotation speed and cutting size on the thickness of the dimensionless cutting bed decreases as their values increase. This model can be utilized to design parameters in drilling and to predict the transport of cuttings in high-inclination sections. The successful establishment of the wellbore cleaning model for small cuttings in high-inclination sections of extended-reach drilling wells is highly innovative, which is a successful combination of theory and practice and has important guiding significance for promoting the development of wellbore cleaning technology.

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Topological quasi-one-dimensional state of interacting spinless electrons

Cited by 11 publications

References 42 publications

Fate of the one-dimensional Ising quantum critical point coupled to a gapless boson

Fate of the one-dimensional Ising quantum critical point coupled to a gapless boson

Fidelity susceptibility study of quantum long-range antiferromagnetic Ising chain

A New Model for Cleaning Small Cuttings in Extended-Reach Drilling Based on Dimensional Analysis

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