Ilya Esterlis
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View article: Electronic crystals in layered materials
Electronic crystals in layered materials Open
In modern two-dimensional (2D) materials, such as graphene-based systems and atomically-thin transition-metal dichalcogenides, the interplay of strong electronic correlations, tunable moiré superlattices, and nontrivial band topology has g…
View article: Quantum Critical Eliashberg Theory
Quantum Critical Eliashberg Theory Open
Quantum criticality plays a central role in understanding non-Fermi liquid behavior and unconventional superconductivity in strongly correlated systems. In this review, we explore the quantum critical Eliashberg theory, which extends conve…
View article: Magnetism from multiparticle ring exchange in moiré Wigner crystals
Magnetism from multiparticle ring exchange in moiré Wigner crystals Open
We investigate the multiparticle ring exchange couplings of the two-dimensional triangular Wigner crystal in external commensurate triangular and honeycomb potentials, using a semiclassical approach valid in the regime where Coulomb intera…
View article: Critical gate distance for Wigner crystallization in the two-dimensional electron gas
Critical gate distance for Wigner crystallization in the two-dimensional electron gas Open
We report on the properties of the two-dimensional electron gas in a dual-gate geometry, using quantum Monte Carlo methods to obtain aspects of the phase diagram as a function of electron density and gate distance. We identify the critical…
View article: Defect liquids in a weakly imbalanced bilayer Wigner Crystal
Defect liquids in a weakly imbalanced bilayer Wigner Crystal Open
In a density-imbalanced bilayer Wigner crystal, where the ratio of electron densities in separate layers deviates slightly from unity, defects spontaneously form in one or both layers in the ground state of the system. Due to quantum tunne…
View article: Magnetism of the Bilayer Wigner Crystal
Magnetism of the Bilayer Wigner Crystal Open
The multiple-spin exchange frequencies of the bilayer Wigner crystal are determined by the semiclassical method, which is asymptotically exact in the limit of dilute electron densities. The evolution of the exchange frequencies with interl…
View article: Spin mechanism of drag resistance in strongly correlated electron liquids
Spin mechanism of drag resistance in strongly correlated electron liquids Open
We investigate the effect of Coulomb drag resistance in a bilayer system of strongly correlated electron liquids magnetized by an in-plane field employing the framework of hydrodynamic theory. We identify a mechanism for drag magnetoresist…
View article: Dynamical defects in a two-dimensional Wigner crystal: Self-doping and kinetic magnetism
Dynamical defects in a two-dimensional Wigner crystal: Self-doping and kinetic magnetism Open
We study the quantum dynamics of interstitials and vacancies in a two-dimensional Wigner crystal (WC) using a semi-classical instanton method that is asymptotically exact at low density, i.e., in the rs → ∞ limit. Here, the dynamics of the…
View article: Strange metal and superconductor in the two-dimensional Yukawa-Sachdev-Ye-Kitaev model
Strange metal and superconductor in the two-dimensional Yukawa-Sachdev-Ye-Kitaev model Open
The two-dimensional Yukawa-Sachdev-Ye-Kitaev (2d-YSYK) model provides a universal theory of quantum phase transitions in metals in the presence of quenched random spatial fluctuations in the local position of the quantum critical point. It…
View article: Observation of an electronic microemulsion phase emerging from a quantum crystal-to-liquid transition
Observation of an electronic microemulsion phase emerging from a quantum crystal-to-liquid transition Open
Strongly interacting electronic systems possess rich phase diagrams resulting from the competition between different quantum ground states. A general mechanism that relieves this frustration is the emergence of microemulsion phases, where …
View article: Dynamical defects in a two-dimensional Wigner crystal: self-doping and kinetic magnetism
Dynamical defects in a two-dimensional Wigner crystal: self-doping and kinetic magnetism Open
We study the quantum dynamics of interstitials and vacancies in a two-dimensional Wigner crystal (WC) using a semi-classical instanton method that is asymptotically exact at low density, i.e., in the $r_s\to \infty$ limit. The dynamics of …
View article: Local noise spectroscopy of Wigner crystals in two-dimensional materials
Local noise spectroscopy of Wigner crystals in two-dimensional materials Open
We propose to use local electromagnetic noise spectroscopy as a versatile and noninvasive tool to study Wigner crystal phases of strongly-interacting two-dimensional electronic systems. In-plane imaging of the local noise is predicted to e…
View article: One-dimensional Holstein model revisited
One-dimensional Holstein model revisited Open
Here, we analyze the global ground-state (quantum) phase diagram of the one-dimensional spinful Holstein model at half filling as a function of the strength of the electron-phonon coupling (represented by the strength of the phonon-induced…
View article: A stability bound on the [Formula: see text]-linear resistivity of conventional metals.
A stability bound on the [Formula: see text]-linear resistivity of conventional metals. Open
Perturbative considerations account for the properties of conventional metals, including the range of temperatures where the transport scattering rate is 1/τtr = 2πλT, where λ is a dimensionless strength of the electron-phonon coupling. Th…
View article: Report on 2205.11542v1
Report on 2205.11542v1 Open
We study the critical bosonic O(N) vector model with quenched random mass disorder in the large N limit.Due to the replicated action which is sometimes not bounded from below, we avoid the replica trick and adopt a traditional approach to …
View article: The one-dimensional Holstein model revisited
The one-dimensional Holstein model revisited Open
We analyze the global ground-state (quantum) phase diagram of the one-dimensional Holstein model at half-filling as a function of the strength of the electron-phonon coupling (represented by the strength of the phonon-induced attraction, $…
View article: Prevailing charge order in overdoped cuprates beyond the superconducting dome
Prevailing charge order in overdoped cuprates beyond the superconducting dome Open
The extremely overdoped cuprates are generally considered to be Fermi liquid metals without exotic orders, whereas the underdoped cuprates harbor intertwined states. Contrary to this conventional wisdom, using Cu $L_3$ edge and O $K$ edge …
View article: Generating coherent phonon waves in narrow-band materials: a twisted bilayer graphene phaser
Generating coherent phonon waves in narrow-band materials: a twisted bilayer graphene phaser Open
Twisted bilayer graphene (TBG) exhibits extremely low Fermi velocities for electrons, with the speed of sound surpassing the Fermi velocity. This regime enables the use of TBG for amplifying vibrational waves of the lattice through stimula…
View article: Report on 2204.07585v2
Report on 2204.07585v2 Open
Non-Fermi liquid phenomena arise naturally near critical points of Landau ordering transitions in metallic systems, where strong fluctuations of a bosonic order parameter destroy coherent quasiparticles.Despite progress in developing contr…
View article: Large $N$ theory of critical Fermi surfaces II: conductivity
Large $N$ theory of critical Fermi surfaces II: conductivity Open
A Fermi surface coupled to a scalar field can be described in a $1/N$ expansion by choosing the fermion-scalar Yukawa coupling to be random in the $N$-dimensional flavor space, but invariant under translations. We compute the conductivity …
View article: Universal theory of strange metals from spatially random interactions
Universal theory of strange metals from spatially random interactions Open
We consider two-dimensional metals of fermions coupled to quantum critical scalars, the latter representing order parameters or emergent gauge fields. We show that at low temperatures ($T$), such metals generically exhibit strange metal be…
View article: A better large N limit of the electron-boson problem?
A better large N limit of the electron-boson problem? Open
The electron-boson problem -i.e. the problem of a dense electron fluid interacting via a Yukawa coupling with a bosonic field which could represent phonons or the collective fluctuations of an order parameter near a quantum critical point …
View article: Characterizing two-dimensional superconductivity via nanoscale noise magnetometry with single-spin qubits
Characterizing two-dimensional superconductivity via nanoscale noise magnetometry with single-spin qubits Open
We propose nanoscale magnetometry via isolated single-spin qubits as a probe of superconductivity in two-dimensional materials. We characterize the magnetic field noise at the qubit location, arising from current and spin fluctuations in t…
View article: Single-spin qubit magnetic spectroscopy of two-dimensional superconductivity
Single-spin qubit magnetic spectroscopy of two-dimensional superconductivity Open
A single-spin qubit placed near the surface of a conductor acquires an\nadditional contribution to its $1/T_1$ relaxation rate due to magnetic noise\ncreated by electric current fluctuations in the material. We analyze this\ntechnique as a…
View article: A stability bound on the $T$-linear resistivity of conventional metals
A stability bound on the $T$-linear resistivity of conventional metals Open
Perturbative considerations account for the properties of conventional metals, including the range of temperatures where the transport scattering rate is $1/τ_\text{tr} = 2πλT$, where $λ$ is a dimensionless strength of the electron-phonon …
View article: Superconductivity, charge density waves, and bipolarons in the Holstein model
Superconductivity, charge density waves, and bipolarons in the Holstein model Open
The electron-phonon ( e-ph ) interaction remains of great interest in condensed matter physics and plays a vital role in realizing superconductors, charge density waves (CDW), and polarons. We study the two-dimensional Holstein model for e…
View article: A magnon scattering platform
A magnon scattering platform Open
Scattering experiments have revolutionized our understanding of nature. Examples include the discovery of the nucleus, crystallography, and the discovery of the double helix structure of DNA. Scattering techniques differ by the type of the…
View article: A magnon scattering platform
A magnon scattering platform Open
Significance This work describes a general scattering platform that uses magnons to explore the underlying properties of target materials. In this work we show how both phase and amplitude of magnons can be imaged using a nitrogen vacancy …
View article: Wigner crystals in transition metal dichalcogenides
Wigner crystals in transition metal dichalcogenides Open
Among the large set of phases that interactions can produce with the electron gas, one of the earliest prediction [1] made by Wigner was the one of a crystallization of the electronic system, due to long-range Coulomb interactions.Indeed i…
View article: Zero-temperature phases of the two-dimensional Hubbard-Holstein model: A non-Gaussian exact diagonalization study
Zero-temperature phases of the two-dimensional Hubbard-Holstein model: A non-Gaussian exact diagonalization study Open
We propose a numerical method which embeds the variational non-Gaussian wavefunction approach within exact diagonalization, allowing for efficient treatment of correlated systems with both electron-electron and electron-phonon interactions…