Ar. Abanov
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View article: Three-Dimensional Domain-Wall Membranes
Three-Dimensional Domain-Wall Membranes Open
Three-dimensional magnetic textures, such as Hopfions, torons, and skyrmion tubes, possess rich geometric and topological structure, but their detailed energetics, deformation modes, and collective behavior are yet to be fully understood. …
View article: Non-BCS behavior of the pairing susceptibility near the onset of superconductivity in a quantum-critical metal
Non-BCS behavior of the pairing susceptibility near the onset of superconductivity in a quantum-critical metal Open
We analyze the dynamical pairing susceptibility $χ_{pp} (ω_m)$ at $T=0$ in a quantum-critical metal, where superconductivity emerges out of a non-Fermi liquid ground state once the pairing interaction exceeds a certain threshold. We obtain…
View article: Thickness-Driven Transitions Between Novel Magnetic States in Ferromagnetic Films
Thickness-Driven Transitions Between Novel Magnetic States in Ferromagnetic Films Open
Magnetic materials hosting stable topological spin textures have demonstrated energy efficiency and potential as information carriers in novel logic and memory devices, offering an alternative to magnetic tunnel junction technology. While …
View article: Self-similarity in Laplacian growth
Self-similarity in Laplacian growth Open
We consider Laplacian Growth of self-similar domains in different geometries. Self-similarity determines the analytic structure of the Schwarz function of the moving boundary. The knowledge of this analytic structure allows us to derive th…
View article: Superconductivity out of a non-Fermi liquid: Free energy analysis
Superconductivity out of a non-Fermi liquid: Free energy analysis Open
In this paper, we present an in-depth analysis of the condensation energy Ec for a superconductor in a situation when superconductivity emerges out of a non-Fermi liquid due to pairing mediated by a massless boson. This is the case for ele…
View article: Odd frequency pairing in a quantum critical metal
Odd frequency pairing in a quantum critical metal Open
We analyze a possibility for odd-frequency pairing near a quantum critical point(QCP) in a metal. We consider a model with dynamical pairing interaction $V(\Omega_n)\sim 1/|\Omega_n|^\gamma$ (the $\gamma$-model). This interaction gives ris…
View article: Superconductivity out of a non-Fermi liquid. Free energy analysis
Superconductivity out of a non-Fermi liquid. Free energy analysis Open
In this paper, we present in-depth analysis of the condensation energy $E_c$ for a superconductor in a situation when superconductivity emerges out of a non-Fermi liquid due to pairing mediated by a massless boson. This is the case for ele…
View article: Superconductivity above a quantum critical point in a metal: Gap closing versus gap filling, Fermi arcs, and pseudogap behavior
Superconductivity above a quantum critical point in a metal: Gap closing versus gap filling, Fermi arcs, and pseudogap behavior Open
We consider a quantum-critical metal with interaction mediated by fluctuations of a critical order parameter. This interaction gives rise to two competing tendencies -- pairing and non-Fermi liquid behavior. Due to competition, the pairing…
View article: Special role of the first Matsubara frequency for superconductivity near a quantum critical point: Nonlinear gap equation below <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi>T</mml:mi><mml:mi>c</mml:mi></mml:msub></mml:math> and spectral properties in real frequencies
Special role of the first Matsubara frequency for superconductivity near a quantum critical point: Nonlinear gap equation below and spectral properties in real frequencies Open
Near a quantum-critical point in a metal a strong fermion-fermion\ninteraction, mediated by a soft boson, destroys fermionic coherence and also\ngives rise to superconductivity. In a class of large $N$ models, one would\nnaively expect an …
View article: Characterizing breathing dynamics of magnetic skyrmions and antiskyrmions within the Hamiltonian formalism
Characterizing breathing dynamics of magnetic skyrmions and antiskyrmions within the Hamiltonian formalism Open
We derive an effective Hamiltonian system describing the low energy dynamics\nof circular magnetic skyrmions and antiskyrmions. Using scaling and symmetry\narguments we model (anti-)skyrmion dynamics through a finite set of coupled,\ncanon…
View article: Pairing in quantum critical systems: Transition temperature, pairing gap, and their ratio
Pairing in quantum critical systems: Transition temperature, pairing gap, and their ratio Open
We compute the ratio of the pairing gap $\\Delta$ at $T=0$ and $T_c$ for a set\nof quantum-critical models in which the pairing interaction is mediated by a\ngapless boson with local susceptibility $\\chi (\\Omega) \\propto\n1/|\\Omega|^\\…
View article: Pairing in quantum-critical systems: $T_c$, $Δ$, and their ratio
Pairing in quantum-critical systems: $T_c$, $Δ$, and their ratio Open
We compute the ratio of the pairing gap $Δ$ at $T=0$ and $T_c$ for a set of quantum-critical models in which the pairing interaction is mediated by a gapless boson with local susceptibility $χ(Ω) \propto 1/|Ω|^γ$ (the $γ$ model). The limit…
View article: Effective description of domain wall strings
Effective description of domain wall strings Open
The analysis of domain wall dynamics is often simplified to one dimensional physics. For domain walls in thin films, more realistic approaches require the description as two dimensional objects. This includes the study of vortices and curv…
View article: Skyrmion production on demand by homogeneous DC currents
Skyrmion production on demand by homogeneous DC currents Open
Topological magnetic textures—like skyrmions—are major players in the design of next-generation magnetic storage technology due to their stability and the control of their motion by ultra-low currents. A major challenge to develop new skyr…
View article: Spin texture motion in antiferromagnetic and ferromagnetic nanowires
Spin texture motion in antiferromagnetic and ferromagnetic nanowires Open
We propose a Hamiltonian dynamics formalism for the current and magnetic field driven dynamics of ferromagnetic and antiferromagnetic domain walls in one dimensional systems. To demonstrate the power of this formalism, we derive Hamilton e…
View article: Superconductivity near a Quantum-Critical Point: The Special Role of the First Matsubara Frequency
Superconductivity near a Quantum-Critical Point: The Special Role of the First Matsubara Frequency Open
Near a quantum-critical point in a metal strong fermion-fermion interaction mediated by a soft collective boson gives rise to incoherent, non-Fermi liquid behavior. It also often gives rise to superconductivity which masks the non-Fermi li…
View article: Current-driven periodic domain wall creation in ferromagnetic nanowires
Current-driven periodic domain wall creation in ferromagnetic nanowires Open
We predict the electrical generation and injection of domain walls into a\nferromagnetic nano-wire without the need of an assisting magnetic field. Our\nanalytical and numerical results show that above a critical current $j_{c}$\ndomain wa…
View article: A free boundary problem associated with the isoperimetric inequality
A free boundary problem associated with the isoperimetric inequality Open
This paper proves a 30 year old conjecture that disks and annuli are the only domains where analytic content - the uniform distance from $\bar{z}$ to analytic functions - achieves its lower bound. This problem is closely related to several…