Article
Materials Science, Multidisciplinary
Alexander Sushchyev, Stefan Wessel
Summary: This study investigates the thermodynamic properties of the extended Hubbard model on a half-filled square lattice in the Slater regime at intermediate coupling using finite-temperature determinantal quantum Monte Carlo simulations. The effects of both nearest-neighbor interactions and long-range Coulomb interactions are considered, and a recently proposed scenario regarding a first-order metal-insulator transition in this interaction regime is assessed.
Article
Materials Science, Multidisciplinary
Johann Ostmeyer, Evan Berkowitz, Stefan Krieg, Timo A. Laehde, Thomas Luu, Carsten Urbach
Summary: In this study, a comprehensive analysis of the operators contributing to the structure factors and order parameters of the hexagonal Hubbard Model was conducted using the Hybrid Monte Carlo algorithm. The results improve the consistency of Monte Carlo determinations of critical exponents and provide insights into the semimetal-Mott insulator transition in the hexagonal Hubbard Model. The methods employed are applicable to a wide range of lattice theories involving strongly correlated electrons.
Article
Materials Science, Multidisciplinary
Daniel Shaffer, Luiz H. Santos
Summary: Pairs-density waves (PDWs) are superconducting states that break translation symmetry in systems with time-reversal symmetry. Recent experiments and cuprates' pseudogap regime have provided evidence for PDWs. In this work, we propose a symmetry-based mechanism where PDWs emerge as a weak-coupling instability in a two-dimensional metal with time-reversal symmetry. By combining mean-field and renormalization-group analyses, we identify a weak-coupling instability towards a triplet PDW in the & pi;-flux square lattice model. This PDW is protected by magnetic translation symmetries characteristic of Hofstadter systems.
Article
Physics, Multidisciplinary
Fabian B. Kugler, Gabriel Kotliar
Summary: This study investigates the impact of interorbital hopping on the localization-delocalization transition and finds that, at zero temperature, the orbital-selective Mott phase is unstable against interorbital hopping and transforms into a different metallic orbital. Additionally, the coherence scale for all electrons to become itinerant is very small and exponentially suppressed, even with non-small interorbital hopping. This implies that the orbital-selective Mott phase can reach extremely low temperatures, but not T = 0, and is part of a coherence-incoherence crossover rather than a quantum critical point.
PHYSICAL REVIEW LETTERS
(2022)
Article
Materials Science, Multidisciplinary
Piotr Chudzinski
Summary: The study develops a scheme to calculate the parameters of Tomonaga-Luttinger liquid and holon velocity in quasi-1D materials, focusing on two-leg ladders coupled through Coulomb interactions. By deriving an analytic formula for electron-electron interaction potential and introducing many-body screening, the study is able to determine the TLL's parameters and velocities. Experimental validation using angle-resolved photoemission spectroscopy data in NbSe3 is provided, with the applicability of the scheme to other quasi-1D systems with two-leg ladders as basic units demonstrated.
Article
Physics, Multidisciplinary
Niklas Wagner, Sergio Ciuchi, Alessandro Toschi, Bjoern Trauzettel, Giorgio Sangiovanni
Summary: In this study, we investigated the resistivity of three-dimensional semimetals with linear dispersion in the presence of on-site electron-electron interaction. The results showed an unusual T-6 behavior in the resistivity, as well as a linear ratio between thermal and electrical conductivities. These findings provide a natural explanation for the large exponents characterizing the temperature dependence of transport experiments on various topological semimetals, from weak coupling up to the nonperturbative region of the Mott transition.
PHYSICAL REVIEW LETTERS
(2021)
Article
Materials Science, Multidisciplinary
Ze Liu, Jing-Yang You, Bo Gu, Sadamichi Maekawa, Gang Su
Summary: In atomic physics, Hund's rule explains the realization of the largest spin and orbital state through the interplay of spin-orbit coupling and Coulomb interactions. This study demonstrates that in ferromagnetic solids, the effective spin-orbit coupling and orbital magnetic moment can be significantly enhanced by a specific factor derived from the two-orbital and five-orbital Hubbard models with spin-orbit coupling. The findings also suggest that spin polarization is preferred over orbital polarization, consistent with experimental observations. The research provides a fundamental understanding of the enhancement of spin-orbit coupling and orbital moment by Coulomb interactions in ferromagnets, with potential applications in spintronics.
Article
Multidisciplinary Sciences
Elham Sadeghi, Hamed Rezania
Summary: In this study, the transport properties of a two-dimensional Lieb lattice in the presence of magnetic field and spin-orbit coupling were investigated. The results showed that the increase of spin-orbit coupling led to a decrease in thermal conductivity, while the increase in temperature resulted in an increase in electrical and thermal conductivities. The temperature dependence of the Seebeck coefficient was also studied, revealing a positive thermopower in the presence of spin-orbit coupling.
SCIENTIFIC REPORTS
(2022)
Article
Multidisciplinary Sciences
Xi Wang, Chengxin Xiao, Heonjoon Park, Jiayi Zhu, Chong Wang, Takashi Taniguchi, Kenji Watanabe, Jiaqiang Yan, Di Xiao, Daniel R. Gamelin, Wang Yao, Xiaodong Xu
Summary: Many-body interactions between carriers play a crucial role in correlated physics. This study demonstrates the ability to highly tune spin-spin interactions between moire-trapped carriers using optical excitation, resulting in ferromagnetic order in WS2/WSe2 moire superlattices. The observed phenomenon adds a dynamic tuning knob to the rich many-body Hamiltonian of moire quantum matter.
Article
Physics, Applied
Lucas C. Celeri, Daniel Huerga, Francisco Albarran-Arriagada, Enrique Solano, Mikel Garcia de Andoin, Mikel Sanz
Summary: Simulating quantum many-body systems is challenging, especially for fermionic systems due to the emergence of nonlocal interactions. We present a digital-analog quantum algorithm that can simulate a wide range of fermionic Hamiltonians, including the well-known Fermi-Hubbard model. These methods allow quantum algorithms to go beyond digital versions by efficiently utilizing coherence time. Additionally, we demonstrate a low-connected architecture for realistic digital-analog implementations of specific fermionic models.
PHYSICAL REVIEW APPLIED
(2023)
Article
Materials Science, Multidisciplinary
S. J. Magorrian, V. V. Enaldiev, V Zolyomi, F. Ferreira, V. Fal'ko, D. A. Ruiz-Tijerina
Summary: The study developed models to describe the behavior of electrons and holes in twisted TMD homobilayers, and explored moire superlattice effects in twisted WSe2 bilayers, considering factors such as encapsulation, pressure, and an electric displacement field.
Article
Materials Science, Multidisciplinary
Steffen Backes, Jae-Hoon Sim, Silke Biermann
Summary: Motivated by the physics of quasi-two-dimensional fermionic systems, many-body computational methods that include both local and nonlocal electronic correlations are rapidly evolving. Methods may be hindered by the emergence of noncausal features, but the presented approach extends local many-body techniques to nonlocal correlations while preserving causality.
Article
Physics, Multidisciplinary
Cecile Carcy, Gaetan Herce, Antoine Tenart, Tommaso Roscilde, David Clement
Summary: This study provides a joint experimental and theoretical analysis on the adiabatic preparation of ultracold bosons in optical lattices to simulate the three-dimensional Bose-Hubbard model. The measured temperatures are in agreement with theoretical calculations, demonstrating that equilibrium states of the model can be adiabatically prepared in cold-atom apparatus. The Fisher information associated with the thermometry method is most accurate in the critical regime close to the Mott transition, as confirmed in the experiment.
PHYSICAL REVIEW LETTERS
(2021)
Article
Materials Science, Multidisciplinary
H. C. Kao, Dingping Li, Baruch Rosenstein
Summary: This study shows that a one band Hubbard model with intermediate coupling can explain the two most important unusual properties of a normal state: linear resistivity strange metal and the pseudogap. By employing a relatively simple post-Gaussian approximation, both the spectroscopic and transport properties of the cuprates are considered at relevant temperatures. The research provides an alternative paradigm on the strength of the coupling required to describe the strange metal.
Article
Physics, Multidisciplinary
Jiawei Zang, Jie Wang, Jennifer Cano, Antoine Georges, Andrew J. Millis
Summary: In this study, a comprehensive analysis of the triangular lattice moire??Hubbard model was conducted to investigate the physics of moire?? bilayer transition metal dichalcogenides. The results reveal the correlation between the band structure and important properties such as resistivity, magnetic order, and metal-insulator transition. The findings provide insights into the behavior of correlated states in twisted homobilayer WSe2 and heterobilayer MoTe2/WSe2 experiments.
Review
Physics, Condensed Matter
Mingpu Qin, Thomas Schaefer, Sabine Andergassen, Philippe Corboz, Emanuel Gull
Summary: The Hubbard model, as the simplest model of interacting fermions on a lattice, exhibits a wealth of phases, phase transitions, and exotic correlation phenomena. In recent years, numerical tools have made impressive progress in achieving quantitative accurate results, offering deeper insights into the correlation physics of the model.
ANNUAL REVIEW OF CONDENSED MATTER PHYSICS
(2022)
Article
Physics, Multidisciplinary
Connor Lenihan, Aaram J. Kim, Fedor S. imkovic Iv, Evgeny Kozik
Summary: Diagrammatic Monte Carlo offers an unbiased probe of continuous phase transitions, allowing the detection of the transition with controlled error bars from an analysis of the series coefficients alone. Using the example of the Neel transition in the 3D Hubbard model, the method surpasses finite-size techniques at low temperatures and allows for mapping the phase diagram in the doped regime.
PHYSICAL REVIEW LETTERS
(2022)
Article
Physics, Multidisciplinary
Henning Schloemer, Annabelle Bohrdt, Lode Pollet, Ulrich Schollwoeck, Fabian Grusdt
Summary: This study uses the density matrix renormalization group method at finite temperature to analyze the formation of stripes in the mixed-dimensional t-J model. It is found that a stable vertical stripe phase can be formed in the absence of pairing, exhibiting incommensurate magnetic order and long-range charge density wave profiles. The proposed model can be seen as a parent Hamiltonian of the stripe phase, and its hidden spin correlations contribute to the predicted resilience against quantum and thermal fluctuations.
PHYSICAL REVIEW RESEARCH
(2023)
Article
Physics, Multidisciplinary
Rajah P. Nutakki, Richard Roess-Ohlenroth, Dirk Volkmer, Anton Jesche, Hans-Albrecht Krug von Nidda, Alexander A. Tsirlin, Philipp Gegenwart, Lode Pollet, Ludovic D. C. Jaubert
Summary: Geometric frustration prevents magnetic systems from ordering, allowing for unconventional phases of matter. Using molecular design, we have created a material [Mn(II)(ta)2] that exhibits a centered pyrochlore lattice of Mn spins, which shows features of a classical spin liquid. Despite having a Curie-Weiss temperature of -21 K, the material only orders at 430 mK, making it a highly frustrated magnet.
PHYSICAL REVIEW RESEARCH
(2023)
Article
Optics
Anastasia Potapova, Ian Pile, Tian-Cheng Yi, Rubem Mondaini, Evgeni Burovski
Summary: We study the ground-state properties of a polarized two-component Fermi gas on attractive -U Hubbard ladders with multiple legs. By exact diagonalization and density-matrix renormalization-group-method simulations, we construct grand-canonical phase diagrams for ladder widths up to W = 5 and varying perpendicular geometries, characterizing the quasi-one-dimensional regime of the dimensional crossover. We discover a multicritical point marking the onset of partial polarization in those phase diagrams, which suggests a regime of finite-momentum pairing. We compare our findings with recent experimental and theoretical studies of quasi-one-dimensional polarized Fermi gases.
Article
Materials Science, Multidisciplinary
Giovanni Canossa, Lode Pollet, Ke Liu
Summary: This article investigates two specific cases of phase transitions that break subsystem symmetries. The models in question are two classical compass models with line-flip and plane-flip symmetries, which correspond to special limits of a Heisenberg-Kitaev Hamiltonian on a cubic lattice. The study shows that these models undergo a hybrid symmetry breaking, wherein the system exhibits distinct symmetry broken patterns in different submanifolds. For example, the system may appear magnetic within a chain or plane, but nematic-like when observed from a higher dimensionality. By using a set of subdimensional order parameters, the symmetry-broken phases are fully characterized, and numerical analysis confirms that both cases undergo a non-standard first-order phase transition. These findings provide new insights into phase transitions involving subsystem symmetries and generalize the concept of conventional spontaneous symmetry breaking.
Article
Materials Science, Multidisciplinary
Janik Schoenmeier-Kromer, Lode Pollet
Summary: We investigate the phase diagram of a one-dimensional Bose-Fermi-Hubbard model with scalar bosons at unit filling and S=1/2 fermions at half filling using quantum Monte Carlo simulations. The fermion-fermion interaction is set to zero. The main focus of our study is to understand the induced interactions between the fermions by the bosons, both for weak and strong interspecies coupling. We find that these induced interactions can result in competing instabilities favoring phase separation, superconducting phases, and density wave structures, often occurring on length scales of more than 100 sites. Additionally, we observe marginal bosonic superfluids with faster decay of the density matrix compared to pure bosonic systems with on-site interactions.
Article
Physics, Multidisciplinary
Nicolas Sadoune, Giuliano Giudici, Ke Liu, Lode Pollet
Summary: Experimental progress in qubit manufacturing requires new theoretical tools for quantum data analysis. This study demonstrates how unsupervised machine learning can analyze data from short-range entangled many-qubit systems. The method successfully constructs the phase diagram and identifies order parameters for different phases, including string order parameters. Furthermore, it can identify the explicit forms of stabilizers in the toric code under external magnetic fields. No prior information about the underlying Hamiltonian or quantum states is needed, as the machine outputs characteristic observables.
PHYSICAL REVIEW RESEARCH
(2023)
Article
Materials Science, Multidisciplinary
Julius Dicke, Lukas Rammelmueller, Fabian Grusdt, Lode Pollet
Summary: We investigate the phase diagram of two different mixed-dimensional t-Jz-J1 models on the square lattice, with hopping amplitude t only nonzero along the x direction. In the first bosonic model, the spin-exchange amplitude J1 is negative and isotropic along the x and y directions, with isotropic and positive Jz. The low-energy physics is characterized by spin-charge separation. In the second model, J1 is restricted to the x axis while Jz remains isotropic and positive. The model exhibits stripe patterns with antiferromagnetic Neel order at low temperature and high hole densities.
Article
Materials Science, Multidisciplinary
Chia-Nan Yeh, Sergei Iskakov, Dominika Zgid, Emanuel Gull
Summary: In this paper, we present the algorithmic and implementation details for the fully self-consistent finite-temperature GW method in Gaussian Bloch orbitals for solids. The method is tested by evaluating the band gaps of selected semiconductors and insulators, and it shows agreement with other implementations. By migrating computationally intensive calculations to graphics processing units, optimal performance is achieved on large supercomputers. This work demonstrates the applicability of Gaussian orbital based scGW for correlated material simulations.
Article
Materials Science, Multidisciplinary
Xinyang Dong, Emanuel Gull, Hugo U. R. Strand
Summary: The paper proposes a real-time discretization method based on a piecewise high-order orthogonal-polynomial expansion to address the storage requirements of Green's function and the computational cost of solving the Dyson equation. By using a compact high-order discretization and specific algorithms, long-time simulations can be performed with fewer discretization points.
Article
Materials Science, Multidisciplinary
Chia -Nan Yeh, Avijit Shee, Qiming Sun, Emanuel Gull, Dominika Zgid
Summary: We present a formulation of relativistic self-consistent GW for solids based on the exact two-component formalism. Our method allows us to study relativistic effects in solids without adjustable parameters, and can consider spin-orbit coupling and the interplay of relativistic effects with electron correlation.
Article
Materials Science, Multidisciplinary
Jia Li, Yang Yu, Emanuel Gull, Guy Cohen
Summary: This study extends the inchworm quantum Monte Carlo method to the interaction expansion and explores its application in multiorbital quantum impurity models. The implementation shows better performance than other algorithms in the interaction expansion, but remains inferior to specialized algorithms in certain cases.
Article
Materials Science, Multidisciplinary
Joseph Kleinhenz, Igor Krivenko, Guy Cohen, Emanuel Gull
Summary: This article describes an experiment on the Kondo cloud, where the researchers examined the extent of the cloud in 1D by measuring the effect of nearby electrostatic perturbations on T-K. They also observed the Kondo state in the local density of states of the leads and made detailed predictions for future experiments.
Article
Materials Science, Multidisciplinary
Sergei Iskakov, Emanuel Gull
Summary: The accurate determination of magnetic phase transitions in electronic systems is crucial but challenging. This paper examines various approximation methods and techniques to describe magnetic properties and phase transitions. The results suggest that nonperturbative methods are necessary for accurate determination.