Incommensurate 
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 density wave quantum criticality in two-dimensional metals

Halbinger, Johannes; Pimenov, Dimitri; Punk, Matthias

doi:10.1103/physrevb.99.195102

Cited by 8 publications

(4 citation statements)

References 50 publications

(71 reference statements)

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“…There is evidence in the literature that supports this limit: for example, taking into account self-energy corrections to the patch dispersions, a flow to perfect nesting is predicted by some previous RG calculations 25,30,31 . Other analyses, however, show 10,32 a Fermi surface that retains a power-law curvature at the hot-spots and is not perfectly nested. However, given the relatively robust nature of our predicted CDW phase, we do not expect the incorporation of such curvature effects to alter our resulting phase diagrams qualitatively.…”

Section: Discussionmentioning

confidence: 93%

“…Many TMDs exhibit CDW phases with rather high critical temperatures, which are often further enhanced in the monolayer limit 5 . One well known route to CDW formation is via Fermi surface nesting: here sections of the Fermi surface lie parallel to each other, giving an enhanced particle-hole susceptibility at a non-zero wavevector Q [6][7][8][9][10] . This is an inherently electronic mechanism.…”

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confidence: 99%

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A potential all-electronic route to the charge-density-wave phase in monolayer vanadium diselenide

Trott

Hooley

2021

Commun Phys

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The transition metal dichalcogenides offer significant promise for the tunable realisation and application of correlated electronic phases. However, tuning their properties requires an understanding of the physical mechanisms underlying their experimentally observed ordered phases, and in particular the extent to which lattice vibrations are a necessary ingredient. Here we present a potential mechanism for charge-density-wave formation in monolayers of vanadium diselenide in which the key role at low energies is played by a combination of electron–electron interactions and nesting. There is a competition between superconducting and density-wave fluctuations as sections of the Fermi surface are tuned to perfect nesting. This competition leads to charge-density-wave order when the effective Heisenberg exchange interaction is comparable to the effective Coulomb repulsion. When all effective interactions are purely repulsive, it results instead in d-wave superconductivity. We discuss the possible role of lattice vibrations in enhancing the effective Heisenberg exchange during the earlier stages of the renormalisation group flow.

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Section: Discussionmentioning

confidence: 93%

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confidence: 99%

A potential all-electronic route to the charge-density-wave phase in monolayer vanadium diselenide

Trott

Hooley

2021

Commun Phys

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“…In this paper, we propose one mechanism to reap yet another instability of CFL: the 2k F density wave instability, which is of equal importance to the previously discovered CFL instabilities and is likely to exhibit distinct physics from ordinary Fermi liquids [36][37][38]. Based on an exact diagonalization (ED) and renormalization group (RG) analysis, we propose one possible mechanism to trigger the density wave instability of CFL on half-filled LLs: tuning the interactions via the mixed LL form factors from an anisotropic CFL state.…”

Section: Introductionmentioning

confidence: 99%

2kF density wave instability of composite Fermi liquid

Jian

Zhu

2020

Phys. Rev. Research

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We investigate the 2k F density wave instability of non-Fermi-liquid states by combining exact diagonalization with renormalization group analysis. At the half-filled zeroth Landau level, we study the fate of the composite Fermi liquid in the presence of the mass anisotropy and mixed Landau level form factors. These two experimentally accessible knobs trigger a phase transition towards a unidirectional charge density wave state with a wave vector equal to 2k F of the composite Fermi liquid. Based on exact diagonalization, we identify such a transition by examining both the energy spectra and the static structure factor of charge density-density correlations. Moreover, the renormalization group analysis reveals that gauge fluctuations render the non-Fermi-liquid state unstable against density wave orders, consistent with numerical observations. Possible experimental probes of the density wave instability are also discussed.

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“…In this letter, we would like to reap yet another natural instability of CFL: the 2k F density-wave instability, which is of equal importance to the previously discovered CFL instabilities and is likely to exhibit distinct physics from the ordinary Fermi liquids [30][31][32]. Based on the exact diagonalization (ED) and renormalization group (RG) analysis, we propose one possible mechanism to trigger the density-wave instability of CFL on half filled LLs: tuning the interactions via the mixed LL form factors from an anisotropic CFL state.…”

mentioning

confidence: 99%

${\bf 2k_F}$ Density Wave Instability of Composite Fermi Liquid

Jian,

Zhu

2020

Preprint

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We investigate the 2kF density-wave instability of the non-Fermi liquid states by combining exact diagonalization with renormalization group analysis. At half-filled zeroth Landau level, we study the fate of composite Fermi liquid in the presence of the mass anisotropy and mixed Landau level form factors. These two experimentally accessible knobs trigger a phase transition towards a unidirectional charge-density-wave state with a wavevector equals to 2kF of the composite Fermi liquid. Based on exact diagonalization, we identify such transition by examining both the energy spectra and the static structure factor of charge density-density correlations. The renormalization group analysis reveals that gauge fluctuations render the non-Fermi liquid state unstable against density-wave orders, consistent with numerical observations. The possible experimental probes of density-wave instability are also discussed.

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Incommensurate 2kF density wave quantum criticality in two-dimensional metals

Cited by 8 publications

References 50 publications

A potential all-electronic route to the charge-density-wave phase in monolayer vanadium diselenide

A potential all-electronic route to the charge-density-wave phase in monolayer vanadium diselenide

2kF density wave instability of composite Fermi liquid

${\bf 2k_F}$ Density Wave Instability of Composite Fermi Liquid

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