71 citations · 493 across the 36 of their papers we have counts for
35 papers
Probing metal-insulator criticality with cavity photons
João C. Inácio, Natanael C. Costa, Fakher F. Assaad
The Hubbard model on the honeycomb lattice is a pristine realisation of a semimetal-to-insulator Mott transition belonging to the O(3) Gross-Neveu universality class. We couple thi…
Tuning the order of a deconfined quantum critical point
Anika Götz, Fakher F. Assaad, Natanael C. Costa
We consider a Su-Schrieffer-Heeger model in the assisted hopping limit, where direct electron hopping is subdominant. At fixed electron-phonon coupling and in the absence of Coulom…
The Two-Dimensional Rashba-Holstein Model: A Quantum Monte Carlo Approach
Julián Faúndez, Rodrigo Alves Fontenele, Sebastião dos Anjos Sousa-Júnior +2
In this work, we investigate the impact of Rashba spin-orbit coupling (RSOC) on the formation of charge-density wave (CDW) and superconducting (SC) phases in the Holstein model on…
Multifractal critical phase driven by coupling quasiperiodic systems to electromagnetic cavities
Thales F. Macedo, Julián Faúndez, Raimundo R. dos Santos +2
We theoretically investigate criticality and multifractal states in a one-dimensional Aubry-Andre-Harper model coupled to electromagnetic cavities. We focus on two specific cases w…
Four interacting spins: addition of angular momenta, spin-spin correlation functions, and entanglement
Raimundo R. dos Santos, Lucas Alves Oliveira, Natanael C. Costa
We study four spins on a ring coupled through competing Heisenberg interactions between nearest neighbors, , and next-nearest neighbors, . The spectrum is obtaine…
Magnetism and metal-insulator transitions in the anisotropic kagome lattice
Lucas O. Lima, Andressa R. Medeiros-Silva, Raimundo R. dos Santos +2
The interest in the physical properties of kagome lattices has risen considerably. In addition to the synthesis of new materials, the possibility of realizing ultracold atoms on an…
The half-filled extended Hubbard model on a square lattice: Phase boundaries from determinant quantum Monte Carlo simulations
Sebastião dos Anjos Sousa-Júnior, Natanael C. Costa, Raimundo R. dos Santos
The extended Hubbard model (EHM) describes fermions on a lattice coupled through on-site, , and first-neighbor, , interactions. In the context of high- cuprates, antifer…
Magnetic and singlet phases in the three-dimensional periodic Anderson Model
Wiliam S. Oliveira, Thereza Paiva, Richard T. Scalettar +1
Heavy fermion materials are compounds in which localized -orbitals hybridize with delocalized ones, leading to quasiparticles with large renormalized masses. The presence of…
Magnetic impurities in a charge-ordered background
Sebastião dos Anjos Sousa-Júnior, Raimundo R. dos Santos, Natanael C. Costa
We investigate how magnetic impurities may affect a system exhibiting charge-density wave (CDW) in its ground state. We consider a disordered Hubbard-Holstein model with a homogene…
Thermodynamic, magnetic and transport properties of the repulsive Hubbard model on the kagome lattice
Andressa R. Medeiros-Silva, Natanael C. Costa, Thereza Paiva
Over the past decades, magnetic frustration has been under intense debate due to its unusual properties. For instance, frustration in the kagome lattice suppresses long range spin…
Incommensurate charge density wave on multiband intermetallic systems exhibiting competing orders
Nei Lopes, Daniel Reyes, Natanael C. Costa +2
The appearance of an incommensurate charge density wave vector on multiband intermetallic systems presenting commensurate charge density wave (CDW) and sup…
Magnetism and metal-insulator transitions in the Rashba-Hubbard model
Welberth Kennedy, Sebastião dos Anjos Sousa Júnior, Natanael C. Costa +1
The nature of metal-insulator and magnetic transitions is still a subject under intense debate in condensed matter physics. Amongst the many possible mechanisms, the interplay betw…
Effect of Emitters on Quantum State Transfer in Coupled Cavity Arrays
Eli Baum, Amelia Broman, Trevor Clarke +8
Over the last decade, conditions for perfect state transfer in quantum spin chains have been discovered, and their experimental realizations addressed. In this paper, we consider a…
The 2D attractive Hubbard model and the BCS-BEC crossover
Rodrigo A. Fontenele, Natanael C. Costa, Raimundo R. dos Santos +1
Recent experiments with ultracold fermionic atoms in optical lattices have provided a tuneable and clean realization of the attractive Hubbard model (AHM). In view of this, several…
Unsupervised machine learning approaches to the -state Potts model
Andrea Tirelli, Danyella O. Carvalho, Lucas A. Oliveira +3
In this paper with study phase transitions of the -state Potts model, through a number of unsupervised machine learning techniques, namely Principal Component Analysis (PCA), $k…
Percolation on Lieb lattices
W. S. Oliveira, J. Pimentel de Lima, Natanael C. Costa +1
We study site- and bond-percolation on a class of lattices referred to as Lieb lattices. In two dimensions the Lieb lattice (LL) is also known as the decorated square lattice, or a…
The two-dimensional - Holstein model
Maykon V. Araújo, José P. de Lima, Sandro Sorella +1
The competition and interplay between charge-density wave and superconductivity have become a central subject for quasi-2D compounds. Some of these materials, such as the transitio…
Learning quantum phase transitions through Topological Data Analysis
Andrea Tirelli, Natanael C. Costa
We implement a computational pipeline based on a recent machine learning technique, namely the Topological Data Analysis (TDA), that has the capability of extracting powerful infor…
The transverse field XY model on the diamond chain
Sérgio Mikael V. S. Rosa, José Pimentel de Lima, Natanael C. Costa +1
We consider the transverse field model on the frustrated diamond chain, considering anisotropic exchange parameters between nearest-neighbor spins. To this end, we emp…
Magnetism and charge order in the honeycomb lattice
Natanael C. Costa, Kazuhiro Seki, Sandro Sorella
Despite being relevant to better understand the properties of honeycomb-like systems, as graphene-based compounds, the electron-phonon interaction is commonly disregarded in theore…
Superconducting Kondo phase in an orbitally-separated bilayer
Sebastião dos Anjos Sousa-Júnior, José P. de Lima, Natanael C. Costa +1
The nature of superconductivity in heavy-fermion materials is a subject under intense debate, and controlling this many-body state is central for its eventual understanding. Here,…
Dynamical resilience to disorder: the dilute Hubbard model on the Lieb lattice
L. Oliveira-Lima, N. C. Costa, J. Pimentel de Lima +2
In itinerant systems, electron-electron interactions may lead to the formation of local magnetic moments and their effective exchange coupling, which in turn gives rise to long-ran…
Phase diagram of the two-dimensional Hubbard-Holstein model: enhancement of -wave pairing between charge and magnetic orders
Natanael C. Costa, Kazuhiro Seki, Seiji Yunoki +1
We investigate the role of electron-electron and electron-phonon interactions in strongly correlated systems by performing unbiased quantum Monte Carlo simulations in the square la…
Charge Density Wave and Superconductivity in the Disordered Holstein Model
Bo Xiao, Natanael C. Costa, Ehsan Khatami +2
The interplay between electron-electron correlations and disorder has been a central theme of condensed matter physics over the last several decades, with particular interest in th…