Holographic non-Fermi liquid in a background magnetic field

Basu, Prabir; He, Junpeng; Mukherjee, Anindya; Shieh, Hsien-Hang

doi:10.1103/physrevd.82.044036

Cited by 30 publications

(46 citation statements)

References 19 publications

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“…When a finite U (1) charged density in the fermionic sector is introduced in the holographic system, it is natural to ask whether the system possesses a Fermi surface and what is the low energy excitations. There have been some progresses in studying the fermionic sector, where a number of generic couplings for the fermions have been realized [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24]. Recently, introducing the coupling between the fermion and gauge field through a dipole interaction in the bulk, it was remarkably found that as the strength of the interaction is varied, spectral density is transferred and beyond a critical interaction strength a gap opens up [25].…”

Section: Introductionmentioning

confidence: 99%

Dipole coupling effect of holographic fermion in the background of charged Gauss-Bonnet AdS black hole

Kuang

Wang

2012

J. High Energ. Phys.

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We investigate the holographic fermions in the charged Gauss-Bonnet AdS d black hole background with the dipole coupling between fermion and gauge field in the bulk. We show that in addition to the strength of the dipole coupling, the spacetime dimension and the higher curvature correction in the gravity background also influence the onset of the Fermi gap and the gap distance. We find that the higher curvature effect modifies the fermion spectral density and influences the value of the Fermi momentum for the appearance of the Fermi surface. There are richer physics in the boundary fermion system due to the modification in the bulk gravity.

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Section: Introductionmentioning

confidence: 99%

Dipole coupling effect of holographic fermion in the background of charged Gauss-Bonnet AdS black hole

Kuang

Wang

2012

J. High Energ. Phys.

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“…For the RN-AdS 4 background, fermion correlators in the dual boundary theory have been studied extensively; see, for example, [24,41,[46][47][48][49][50][51][52][53][54][55][56][57][58][59][60]. A similar kind of analysis can be done here for the electron star background.…”

Section: Discussionmentioning

confidence: 87%

Neutral order parameters in metallic criticality ind=2+1from a hairy electron star

Edalati

Phillips

2011

Phys. Rev. D

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We use holography to study the spontaneous condensation of a neutral order parameter in a (2+1)-dimensional field theory at zero-temperature and finite density, dual to the electron star background of Hartnoll and Tavanfar. An appealing feature of this field theory is the emergence of an IR Lifshitz fixed-point with a finite dynamical critical exponent z, which is due to the strong interaction between critical bosonic degrees of freedom and a finite density of fermions (metallic quantum criticality). We show that under some circumstances the electron star background develops a neutral scalar hair whose holographic interpretation is that the boundary field theory undergoes a quantum phase transition, with a Berezinski-Kosterlitz-Thouless character, to a phase with a neutral order parameter. Including the backreaction of the bulk neutral scalar on the background, we argue that the two phases across the quantum critical point have different z, a novelty that exists in certain quantum phase transitions in condensed matter systems. We also analyze the system at finite temperature and find that the phase transition becomes, as expected, second-order. Embedding the neutral scalar into a higher form, a variety of interesting phases could potentially be realized for the boundary field theory. Examples which are of particular interest to condensed matter physics include an antiferromagnetic phase where a vector condenses and break the spin symmetry, a quadrupole nematic phase which involves the condensation of a symmetric traceless tensor breaking rotational symmetry, or different phases of a system with competing order parameters.

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“…Investigation [53] is also of interest, as an approach to the Green's functions calculation in the presence of magnetic field was evolved in this work and prospects of this approach application in the Hall quantum effect physics were discussed.…”

Section: Further Development Of the Approachmentioning

confidence: 99%

Quick introduction into AdS/CFT correspondence in physics of strongly correlated systems

Белоненко¹,

Konobeeva²,

Galkina³

2016

Nanosystems: Phys. Chem. Math.

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Holographic non-Fermi liquid in a background magnetic field

Cited by 30 publications

References 19 publications

Dipole coupling effect of holographic fermion in the background of charged Gauss-Bonnet AdS black hole

Dipole coupling effect of holographic fermion in the background of charged Gauss-Bonnet AdS black hole

Neutral order parameters in metallic criticality ind=2+1from a hairy electron star

Quick introduction into AdS/CFT correspondence in physics of strongly correlated systems

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