Random-mass disorder in the critical Gross-Neveu-Yukawa models

Yerzhakov, Hennadii; Maciejko, Joseph

doi:10.1016/j.nuclphysb.2020.115241

Cited by 13 publications

(11 citation statements)

References 110 publications

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“…However, if degeneracies such as spin or valley pseudo-spin are included, the clean fixed point becomes stable against weak bosonic mass disorder and a finite-disorder multicritical point with noninteger dynamical exponent (z > 1) can be identified within the double expansion [40]. Similar finite disorder fixed points were established in the chiral Ising and Heisenberg GNY models with bosonic random-mass disorder, using triple expansion [41].…”

Section: Introductionmentioning

confidence: 56%

Interplay of interactions and disorder at the charge density wave transition of two-dimensional Dirac semimetals

Uryszek

Krüger

2022

Phys. Rev. B

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We consider the effects of weak quenched fermionic disorder on the quantum-phase transition between the Dirac semimetal and charge density wave (CDW) insulator in two spatial dimensions. The symmetry breaking transition is described by the Gross-Neveu-Yukawa (GNY) theory of Dirac fermions coupled to an Ising order parameter field. Treating the disorder using the replica method, we consider chemical potential, vector potential (gauge), and random mass disorders, which all arise from nonmagnetic charged impurities. We self-consistently account for the Landau damping of long-wavelength order-parameter fluctuations by using the nonperturbative RPA resummation of fermion loops and compute the renormalization-group (RG) flow to leading order in the disorder strength and 1/N (N the number of Dirac fermion flavors). We find two fixed points, the clean GNY critical point, which is stable against weak disorder, and a dirty GNY multicritical point, at which the chemical potential disorder is finite and the other forms of disorder are irrelevant. We investigate the scaling of physical observables at this finite-disorder multicritical point which breaks Lorentz invariance and gives rise to distinct non-Fermi liquid behavior.

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Section: Introductionmentioning

confidence: 56%

Interplay of interactions and disorder at the charge density wave transition of two-dimensional Dirac semimetals

Uryszek

Krüger

2022

Phys. Rev. B

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“…However, if degeneracies such as spin or valley pseudo-spin are included, the clean fixed point becomes stable against weak bosonic mass disorder and a finite-disorder multi-critical point with non-integer dynamical exponent (z > 1) can be identified within the double expansion [39]. Similar finite disorder fixed points were established in the chiral Ising and Heisenberg GNY models with bosonic random-mass disorder, using triple expansion [40].…”

Section: Introductionmentioning

confidence: 58%

“…The interplay between symmetry breaking and disorder was previously studied for the XY GNY [38,39] and the chiral Ising and Heisenberg GNY models [40], using the replica formalism combined with expansions. Near the upper critical dimension fermionic disorder is strongly irrelevant at the clean system quantum critical points.…”

Section: Discussionmentioning

confidence: 99%

“…Unlike Refs. [38][39][40], we do not include a four-boson disorder vertex. Such a vertex would arise from a replica average of random-mass disorder of the CDW order parameter field φ which is not present in our theory.…”

Section: Coupling To Disorder: Replica Field Theorymentioning

confidence: 99%

“…An example is the CDW transition of electrons on the half-filled honeycomb lattice that is driven by a repulsive nearest-neighbor interaction and characterized by an imbalance of charge on the two sublattices. Our work departs in two important aspects from previous studies [38][39][40]. Firstly, we omit an expansion and compute the quantum corrections in two spatial dimensions.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Interplay of interactions and disorder at the charge-density wave transition of two-dimensional Dirac semimetals

Uryszek,

Krüger

2021

Preprint

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Spatially random disorder in unitary fermion system in (4 − ϵ)-dimensions and effective action at finite temperature

Gupta

Meenu

2023

J. High Energ. Phys.

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Non-relativistic conformal field theory is significant to understand various aspects of an ultra-cold system. In this paper, we study a non-relativistic system of two-component fermions interacting with a complex boson with Yukawa-like interactions near d = 4-spatial dimensions in the presence of a quenched disorder. The homogeneous theory flows to an interacting fixed point describing a unitary fermion system. In the presence of the disorder, we find that the system has an interesting phase structure in the space of the coupling constants and exhibits an interacting disorder fixed point in ϵ-expansion. The correlation function obeys Lifshitz scaling behaviour at the disorder fixed point with the anisotropic exponent being z = 2 + γE. We also study the disorder system at finite temperature and compute the leading contribution to the 1PI effective action.

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Random-mass disorder in the critical Gross-Neveu-Yukawa models

Cited by 13 publications

References 110 publications

Interplay of interactions and disorder at the charge density wave transition of two-dimensional Dirac semimetals

Interplay of interactions and disorder at the charge density wave transition of two-dimensional Dirac semimetals

Interplay of interactions and disorder at the charge-density wave transition of two-dimensional Dirac semimetals

Spatially random disorder in unitary fermion system in (4 − ϵ)-dimensions and effective action at finite temperature

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