Enhancement of Wigner crystallization in quasi-low-dimensional solids

Rastelli, Gianluca; Quemerais, Pascal; Fratini, Simone

doi:10.1103/physrevb.73.155103

Cited by 12 publications

(14 citation statements)

References 47 publications

(74 reference statements)

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“…The zero-field phase diagram as a function of temperature and the ratio δ between the exchange and dipolar constants (see eq. (1)) has been focused on [6][7][8][9][10][11][12][13][14][15][16][17][18]. The dipolar interaction leads to the antiferromagnetic (AF) ground state [7], while the Ising ferromagnetic exchange interaction causes the ferromagnetic ground state.…”

Section: Introductionmentioning

confidence: 99%

Temperature-field phase diagram of the two-dimensional dipolar Ising ferromagnet

2018

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We study field-induced phase transitions in the two-dimensional dipolar Ising ferromagnet with a specific ratio between the exchange and dipolar constants, δ = 1, which exhibits a stripe-ordered phase with the width of one lattice unit at low temperatures without magnetic field. By using a mean-field (MF) approximation and a Monte Caro (MC) method with the stochastic-cutoff algorithm, which is an O(N ) simulation method, we show the temperature-field phase diagrams. In the MC study the orientational order and the structure factor are evaluated. Second-order transition points are determined by a finite-size-scaling analysis and first-order transition points are identified by the analysis of the energy histogram. Although both the MF and MC phase diagrams consist of wide regions of several stripe-ordered phases and narrow regions between them characterized by complicated stripe patterns, they show qualitative and quantitative differences in possible phases and phase boundaries. In the MF phase diagram, three main stripe-ordered phases exhibit a nesting structure, while in the MC phase diagram, two main stripe-ordered phases are located separately, which causes a characteristic field-induced reentrant transition of the orientational order. *

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Section: Introductionmentioning

confidence: 99%

Temperature-field phase diagram of the two-dimensional dipolar Ising ferromagnet

2018

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“…The Wigner crystallization in this material is likely due to the suppression of kinematic energy in the narrow band. Recent theoretical work on the jellium model [18] has shown that Wigner crystallization is enhanced in low- dimensional solids because the kinetic energy is suppressed by this dimensionality, and consequently the relative Coulomb effect is emphasized. According to this theory, DI-DCNQI 2 Ag could be a Wigner crystal.…”

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confidence: 99%

Wigner Crystallization in(DI−DCNQI)2AgDetected by Synchrotron Radiation X-Ray Diffraction

et al. 2007

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The low-temperature electronic structure of the quarter-filled, quasi-one-dimensional (Q1D) system (DI-DCNQI)2Ag is revealed using synchrotron radiation x-ray diffraction. In spite of the interchain frustration in the twofold superstructure along the 1D chain, the body-centered tetragonal "charge ordering" structure, which consists of 4k_{F} charge ordering columns and 4k_{F} bond order wave columns, is realized. This is the first example of the Q1D system having plural kinds of columns as its ground state. This charge ordered structure is regarded as a Wigner crystal caused by intercolumn Coulomb repulsion.

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“…In spite of this difficulty, the two-dimensional (2D) dipolar Heisenberg model with uniaxial anisotropy (see Eq. (1)) has been intensively studied for understanding ultrathin-film magnetism theoretically and computationally [6][7][8][9][10][11][12][13][14][15][16][17][18][19], as well as the 2D dipolar Ising ferromagnet [20][21][22][23][24][25][26][27][28][29][30][31][32][33]. Especially, the η-T (uniaxial anisotropy vs. temperature) phase diagram of the model (1) at zero field (H = 0) has been focused on, while the phase diagrams for finite fields are almost unexplored.…”

Section: Introductionmentioning

confidence: 99%

Anisotropy-temperature phase diagram for the two-dimensional dipolar Heisenberg model with and without magnetic field

2019

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We investigate phase transitions in the two-dimensional dipolar Heisenberg model with uniaxial anisotropy with a specific ratio between the exchange and dipolar constants, δ = 1. We obtain the η-T (anisotropy vs. temperature) phase diagrams for typical values of magnetic field by a Monte Carlo method with an O(N ) algorithm. We find that at lower fields, the η-T phase diagram consists of the planar ferromagnetic (F), (perpendicular) stripe-ordered (SO), and paramagnetic (P) phases, and is characterized by the triple point. In the SO phase realized at larger η and smaller T , the SO pattern changes depending on the field. On the other hand, we find that at higher fields, the SO phase does not exist, while the planer F phase robustly remains. We study the properties of the phase boundaries by employing finite-size-scaling analyses. We find that the slope of the spinreorientation-transition line is positive with and without field, i.e., dη dT > 0, which implies that the planar F phase changes to the SO phase with lowering temperature. In the phase diagrams we observe a characteristic shape of the P-planer F phase-transition line, whose maximum point of η is located at an intermediate temperature. This structure leads to the temperature-induced reentrant transition associated with P and planar F phases, which appears in successive phase transitions with lowering temperature: P → planar F → P → SO phase at lower fields and P → planar F → P phases at higher fields. *

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Enhancement of Wigner crystallization in quasi-low-dimensional solids

Cited by 12 publications

References 47 publications

Temperature-field phase diagram of the two-dimensional dipolar Ising ferromagnet

Temperature-field phase diagram of the two-dimensional dipolar Ising ferromagnet

Wigner Crystallization in(DI−DCNQI)2AgDetected by Synchrotron Radiation X-Ray Diffraction

Anisotropy-temperature phase diagram for the two-dimensional dipolar Heisenberg model with and without magnetic field

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