Charge density waves on a half-filled decorated honeycomb lattice

Feng, Chunhan; Guo, Hongbo; Scalettar, Richard

doi:10.1103/physrevb.101.205103

Cited by 25 publications

(9 citation statements)

References 47 publications

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“…5, which is the central result of this paper. We see that T c is increased by roughly a factor of two in going from various 2D geometries (square [27], Lieb [52], and honeycomb [30,31]) to 3D. This increase is quite similar to that of going from 2D square (T c ∼ 2.27) to 3D cubic (T c ∼ 4.51) for the CDW transition of classical lattice gas (Ising) model.…”

supporting

confidence: 53%

Langevin Simulations of the Half-Filled Cubic Holstein Model

Cohen-Stead,

Barros,

Meng

et al. 2020

Preprint

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Over the past several years, reliable Quantum Monte Carlo results for the charge density wave transition temperature T cdw of the half-filled two dimensional Holstein model in square and honeycomb lattices have become available for the first time. Exploiting the further development of numerical methodology, here we present results in three dimensions, which are made possible through the use of Langevin evolution of the quantum phonon degrees of freedom. In addition to determining T cdw from the scaling of the charge correlations, we also examine the nature of charge order at general wave vectors for different temperatures, couplings, and phonon frequencies, and the behavior of the spectral function and specific heat.

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supporting

confidence: 53%

Langevin Simulations of the Half-Filled Cubic Holstein Model

Cohen-Stead,

Barros,

Meng

et al. 2020

Preprint

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“…A finite-size scaling analysis obtained T sc ≈ t/26 at a phonon frequency ω 0 /t = 4, simulating lattices of up to 12 × 12 sites. Recently, the CDW transition in the Holstein model has also been investigated for both the honeycomb and π-flux geometries [25][26][27], as well as for the square lattice with anisotropic hopping amplitudes [28]. These studies focused on the half-filled case only and hence did not advance our understanding of T sc .…”

Section: Introductionmentioning

confidence: 99%

Superconductivity and charge density wave order in the 2D Holstein model

Bradley,

Batrouni,

Scalettar

2020

Preprint

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The Holstein Hamiltonian describes fermions hopping on a lattice and interacting locally with dispersionless phonon degrees of freedom. In the low density limit, dressed quasiparticles, polarons and bipolarons, propagate with an effective mass. At higher densities, pairs can condense into a low temperature superconducting phase and, at or near commensurate filling on a bipartite lattice, to charge density wave (CDW) order. CDW formation breaks a discrete symmetry and hence occurs via a second order (Ising) transition, and therefore at a finite T cdw in two dimensions. Quantum Monte Carlo calculations have determined T cdw for a variety of geometries, including square, honeycomb, and Lieb lattices. The superconducting transition, on the other hand, in d = 2 is in the Kosterlitz-Thouless (KT) universality class, and is much less well characterized. In this paper we determine Tsc for the square lattice, for several values of the density ρ and phonon frequency ω0. We find that quasilong range order sets in at Tsc t/20, where t is the near neighbor hopping amplitude, consistent with previous rough estimates from simulations which only extrapolated to the temperatures we reach from considerably higher T . We also show evidence for a discontinuous evolution of the density as the CDW transition is approached at half-filling.

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“…It is worth noting that in the absence of t 3 , e.g. in the 2D Holstein model, this restoration does not occur until the anti-adiabatic limit is reached, which requires very large values of ω [42]. Holstein-Metal interface.-We next consider the 'Holstein-metal interface' in which layer l = +1 has nonzero λ +1 but λ −1 = 0.…”

Section: ĉ †mentioning

confidence: 99%

Charge Singlets and Orbital Selective Charge Density Wave Transitions

Zhang,

Feng,

Mondaini

et al. 2021

Preprint

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The possibility of 'orbitally selective Mott transitions' within a multi-band Hubbard model, in which one orbital with large on-site electron-electron repulsion U1 is insulating and another orbital, to which it is hybridized, with small U−1, is metallic, is a problem of long-standing debate and investigation. In this paper we study an analogous phenomenon, the co-existence of metallic and insulating bands in a system of orbitals with different electron-phonon coupling. To this end, we examine two variants of the bilayer Holstein model: a uniform bilayer and a 'Holstein-Metal interface' where the electron-phonon coupling (EPC) λ is zero in the 'metal' layer. In the uniform bilayer Holstein model, charge density wave (CDW) order dominates at small interlayer hybridization t3, but decreases and eventually vanishes as t3 grows, providing a charge analog of singlet (spin liquid) physics. In the interface case, we show that CDW order penetrates into the metal layer and forms long-range CDW order at intermediate ratio of inter-to intra-layer hopping strengths 1.4 t3/t 3.4. This is consistent with the occurrence of an 'orbitally selective CDW' regime at weak t3 in which the layer with λ1 = 0 exhibits long range charge order, but the 'metallic layer' with λ−1 = 0, to which it is hybridized, does not.

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Charge density waves on a half-filled decorated honeycomb lattice

Cited by 25 publications

References 47 publications

Langevin Simulations of the Half-Filled Cubic Holstein Model

Langevin Simulations of the Half-Filled Cubic Holstein Model

Superconductivity and charge density wave order in the 2D Holstein model

Charge Singlets and Orbital Selective Charge Density Wave Transitions

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