Thermal algebraic-decay charge liquid driven by competing short-range Coulomb repulsion

Kaneko, Ryui; Nonomura, Yoshihiko; Kohno, Masanori

doi:10.1103/physrevb.97.205125

Cited by 4 publications

(3 citation statements)

References 79 publications

(113 reference statements)

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“…In [ 73 ] the model with

was investigated on the triangular lattice at half-filling by using a classical Monte Carlo method, and a critical phase, characterized by algebraic decay of the charge correlation function, belonging to the universality class of the two-dimensional

model with a

anisotropy was found in the intermediate-temperature regime. Some preliminary results for model ( 1 ) on the triangular lattice and for large attractive

and

within the mean-field approximation were presented in [ 74 ].…”

Section: The Model and The Methodsmentioning

confidence: 99%

“…However, longer-range interactions [ 3 ] or weak interactions between adsorbed particles and the adsorbent material occurring in realistic systems could stabilize such an order (such systems are rather quasi-two-dimensional). It should be also mentioned that the charge Berezinskii-Kosterlitz-Thouless-like phase was found in the intermediate-temperature regime between the charge-ordered phase (with long-range order, coresponding to the TCO phase here) and disordered phases in the investigated model [ 73 ].…”

Section: Final Remarksmentioning

confidence: 99%

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Charge-Order on the Triangular Lattice: A Mean-Field Study for the Lattice S = 1/2 Fermionic Gas

Kapcia

2021

Nanomaterials

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The adsorbed atoms exhibit tendency to occupy a triangular lattice formed by periodic potential of the underlying crystal surface. Such a lattice is formed by, e.g., a single layer of graphane or the graphite surfaces as well as (111) surface of face-cubic center crystals. In the present work, an extension of the lattice gas model to S=1/2 fermionic particles on the two-dimensional triangular (hexagonal) lattice is analyzed. In such a model, each lattice site can be occupied not by only one particle, but by two particles, which interact with each other by onsite U and intersite W1 and W2 (nearest and next-nearest-neighbor, respectively) density-density interaction. The investigated hamiltonian has a form of the extended Hubbard model in the atomic limit (i.e., the zero-bandwidth limit). In the analysis of the phase diagrams and thermodynamic properties of this model with repulsive W1>0, the variational approach is used, which treats the onsite interaction term exactly and the intersite interactions within the mean-field approximation. The ground state (T=0) diagram for W2≤0 as well as finite temperature (T>0) phase diagrams for W2=0 are presented. Two different types of charge order within 3×3 unit cell can occur. At T=0, for W2=0 phase separated states are degenerated with homogeneous phases (but T>0 removes this degeneration), whereas attractive W2<0 stabilizes phase separation at incommensurate fillings. For U/W1<0 and U/W1>1/2 only the phase with two different concentrations occurs (together with two different phase separated states occurring), whereas for small repulsive 0<U/W1<1/2 the other ordered phase also appears (with tree different concentrations in sublattices). The qualitative differences with the model considered on hypercubic lattices are also discussed.

show abstract

“…In [ 73 ] the model with

model with a

anisotropy was found in the intermediate-temperature regime. Some preliminary results for model ( 1 ) on the triangular lattice and for large attractive

and

within the mean-field approximation were presented in [ 74 ].…”

Section: The Model and The Methodsmentioning

confidence: 99%

Section: Final Remarksmentioning

confidence: 99%

Charge-Order on the Triangular Lattice: A Mean-Field Study for the Lattice S = 1/2 Fermionic Gas

Kapcia

2021

Nanomaterials

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“…If t σ → 0 (the limit of localized electrons with spin σ ; the atomic limit, cf. [32][33][34][35][36][37][38] and references therein), density of states ρ σ ( ) approaches to the Dirac delta function δ( ) and (4), (7), and (9) get the following limiting forms, respectively:…”

Section: The Methodsmentioning

confidence: 99%

Order-Disorder Transition in the Half-Filled Two-Component Lattice Fermion Model with Nearest-Neighbor Repulsion

Kapcia

Majewska-Albrzykowska

2020

J Supercond Nov Magn

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In this work, we study a model of asymmetric two-component lattice fermion system at half-filling, where particles of both species (distinguishable by, e.g., spin) can interact only via nearest-neighbor repulsion W. The analysis is performed on the Bethe lattice using the Hartree-Fock-type mean-field approximation, which is rigorous in the limit of high dimensions. At sufficiently low temperatures, both antiferromagnetic and charge orders (related to inhomogeneous distribution of particles with both spins) coexist in the system. We find that an order-disorder continuous transition occurs with increasing temperature. The transition temperature depends on the ratio t ↑ /t ↓ of the hopping amplitudes of both fermion species (i.e., the asymmetry of the model). For fixed W , it is the biggest if one component is localized (e.g., t ↑ = 0), and it decreases to its minimal value for the same hopping amplitudes (t ↑ = t ↓). Moreover, it increases with W for fixed t ↑ /t ↓. Dependencies of order parameters with model parameters and temperature are also presented. Keywords Order-disorder transition • Two-component fermion model • Intersite repulsion • Mean-field theory • Charge and spin orders • Fermionic gases

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Charge Order of Strongly Bounded Electron Pairs on the Triangular Lattice: the Zero-Bandwidth Limit of the Extended Hubbard Model with Strong Onsite Attraction

Kapcia

2019

J Supercond Nov Magn

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Thermal algebraic-decay charge liquid driven by competing short-range Coulomb repulsion

Cited by 4 publications

References 79 publications

Charge-Order on the Triangular Lattice: A Mean-Field Study for the Lattice S = 1/2 Fermionic Gas

Charge-Order on the Triangular Lattice: A Mean-Field Study for the Lattice S = 1/2 Fermionic Gas

Order-Disorder Transition in the Half-Filled Two-Component Lattice Fermion Model with Nearest-Neighbor Repulsion

Charge Order of Strongly Bounded Electron Pairs on the Triangular Lattice: the Zero-Bandwidth Limit of the Extended Hubbard Model with Strong Onsite Attraction

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