Anisotropic destruction of the Fermi surface in inhomogeneous holographic lattices

Iliasov, Askar A.; Bagrov, Andrey A.; Katsnelson, M. I.; Krikun, Alexander

doi:10.1007/jhep01(2020)065

Cited by 11 publications

(18 citation statements)

References 44 publications

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“…As is well known by now, this logic can be violated in other holographic models involving homogeneous lattices[12,13] or the periodic scalar lattice[15].…”

mentioning

confidence: 96%

Isolated zeros destroy Fermi surface in holographic models with a lattice

Balm

Krikun

Romero-Bermúdez

et al. 2020

J. High Energ. Phys.

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We study the fermionic spectral density in a strongly correlated quantum system described by a gravity dual. In the presence of periodically modulated chemical potential, which models the effect of the ionic lattice, we explore the shapes of the corresponding Fermi surfaces, defined by the location of peaks in the spectral density at the Fermi level. We find that at strong lattice potentials sectors of the Fermi surface are unexpectedly destroyed and the Fermi surface becomes an arc-like disconnected manifold. We explain this phenomenon in terms of a collision of the Fermi surface pole with zeros of the fermionic Green's function, which are explicitly computable in the holographic dual.

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“…As is well known by now, this logic can be violated in other holographic models involving homogeneous lattices[12,13] or the periodic scalar lattice[15].…”

mentioning

confidence: 96%

Isolated zeros destroy Fermi surface in holographic models with a lattice

Balm

Krikun

Romero-Bermúdez

et al. 2020

J. High Energ. Phys.

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“…In [47], we studied the Fermion spectral function in the Q-lattice background and we will be looking into the Fermi surface evolution due to Fermions bulk couplings parameters in this anisotropic background. Similar construction to our couplings has also been studied in [54] and [55].…”

Section: Introductionmentioning

confidence: 74%

“…For our numerical purposes, we defined the Fermi level with small offset from ω = 0. In our previous work [47], we have explored the affects of temperature and the source χ (1) on the Fermi surface with and without couplings, also more analysis on fermions spectral function due to the Q-lattice can be found in these papers [54,55]. Here we show the results only for scenarios when coupling parameters are non-vanishing.…”

Section: Numerical Results and Discussionmentioning

confidence: 96%

Evolution of holographic Fermi surface from non-minimal couplings

Wahlang

2021

Preprint

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We study a holographic toy model by considering a probe fermion of finite charge density in an anisotropic background. By computing the fermionic spectral function numerically, we observed that the system exhibits some interesting behaviours in the nature of the Fermi surface (FS) and its evolution when tuning the controlling parameters. We introduced non-minimal interaction terms in the action for holographic fermions along with a complex scalar field but neglecting the backreaction of the fermion field on the background. Suppression in the spectral weight and deformation of FS is found out which are reminiscent of the results seen in various condensed matter experiments in real materials.

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“…| (2020) 10:20470 | https://doi.org/10.1038/s41598-020-77513-0 www.nature.com/scientificreports/ gas in two-dimensional CuO planes, while the conductivity in the orthogonal direction is suppressed. Other phenomena, such as the formation of Fermi arcs seen in the angle-resolved photoemission spectra of high-Tc compounds 19 , or charge density waves 20 also fit pretty naturally into the context of quantum criticality. The main problem of this approach is its purely phenomenological character.…”

Section: Scientific Reportsmentioning

confidence: 99%

Detecting quantum critical points in the t-$$t'$$ Fermi-Hubbard model via complex network theory

Bagrov

Danilov

Brener

et al. 2020

Sci Rep

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A considerable success in phenomenological description of $$\text {high-T}_{\text{c}}$$ high-T c superconductors has been achieved within the paradigm of Quantum Critical Point (QCP)—a parental state of a variety of exotic phases that is characterized by dense entanglement and absence of well-defined quasiparticles. However, the microscopic origin of the critical regime in real materials remains an open question. On the other hand, there is a popular view that a single-band t-$$t'$$ t ′ Hubbard model is the minimal model to catch the main relevant physics of superconducting compounds. Here, we suggest that emergence of the QCP is tightly connected with entanglement in real space and identify its location on the phase diagram of the hole-doped t-$$t'$$ t ′ Hubbard model. To detect the QCP we study a weighted graph of inter-site quantum mutual information within a four-by-four plaquette that is solved by exact diagonalization. We demonstrate that some quantitative characteristics of such a graph, viewed as a complex network, exhibit peculiar behavior around a certain submanifold in the parametric space of the model. This method allows us to overcome difficulties caused by finite size effects and to identify precursors of the transition point even on a small lattice, where long-range asymptotics of correlation functions cannot be accessed.

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Anisotropic destruction of the Fermi surface in inhomogeneous holographic lattices

Cited by 11 publications

References 44 publications

Isolated zeros destroy Fermi surface in holographic models with a lattice

Isolated zeros destroy Fermi surface in holographic models with a lattice

Evolution of holographic Fermi surface from non-minimal couplings

Detecting quantum critical points in the t-$$t'$$ Fermi-Hubbard model via complex network theory

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