A5051252837- Physics of Superconductivity and Magnetism
- Quantum many-body systems
- Advanced Condensed Matter Physics
- Quantum and electron transport phenomena
- Theoretical and Computational Physics
- Cold Atom Physics and Bose-Einstein Condensates
- Magnetic and transport properties of perovskites and related materials
- Advanced Chemical Physics Studies
- Topological Materials and Phenomena
- Algebraic structures and combinatorial models
- Iron-based superconductors research
- Organic and Molecular Conductors Research
- Quantum Computing Algorithms and Architecture
- Advanced NMR Techniques and Applications
- Advanced Fiber Laser Technologies
- Quantum Chromodynamics and Particle Interactions
- Photonic and Optical Devices
- Strong Light-Matter Interactions
- Black Holes and Theoretical Physics
- Nonlinear Photonic Systems
- Computational Physics and Python Applications
- Quantum, superfluid, helium dynamics
- Tensor decomposition and applications
- Mechanical and Optical Resonators
- Nonlinear Waves and Solitons
Shanghai Jiao Tong University
2020-2025
Hefei University
2023-2025
University of Science and Technology of China
2023
William & Mary
2015-2020
Williams (United States)
2015-2020
Institute of Physics
2008-2014
Chinese Academy of Sciences
2009-2014
We propose a novel coarse graining tensor renormalization group method based on the higher-order singular value decomposition. This provides an accurate but low computational cost technique for studying both classical and quantum lattice models in two- or three-dimensions. have demonstrated this using Ising model square cubic lattices. By keeping up to 16 bond basis states, we obtain by far most numerical results 3D model. also applied study ground state as well finite temperature properties...
Numerical results for ground-state and excited-state properties (energies, double occupancies, Matsubara-axis self-energies) of the single-orbital Hubbard model on a two-dimensional square lattice are presented, in order to provide an assessment our ability compute accurate thermodynamic limit. Many methods employed, including auxiliary-field quantum Monte Carlo, bare bold-line diagrammatic method dual fermions, density matrix embedding theory, renormalization group, dynamical cluster...
The Hubbard model is the simplest of interacting fermions on a lattice and similar importance to correlated electron physics as Ising statistical mechanics or fruit fly biomedical science. Despite its simplicity, exhibits an incredible wealth phases, phase transitions, exotic correlation phenomena. While analytical methods have provided qualitative description in certain limits, numerical tools shown impressive progress achieving quantitative accurate results over last years. This article...
Competing inhomogeneous orders are a central feature of correlated electron materials including the high-temperature superconductors. The two- dimensional Hubbard model serves as canonical microscopic physical for such systems. Multiple have been proposed in underdoped part phase diagram, which corresponds to regime maximum numerical difficulty. By combining latest methods exhaustive simulations, we uncover ordering ground state. We find stripe order that has highly compressible wavelength...
We study the superconducting pairing correlations in ground state of doped Hubbard model—in its original form without hopping beyond nearest neighbor or other perturbing parameters—in two dimensions at intermediate to strong coupling and near optimal doping. The nature such has been a central question ever since discovery cuprate high-temperature superconductors. Despite unprecedented effort tremendous progress understanding properties this fundamental model, definitive answer whether is...
The Hubbard model is an iconic in quantum many-body physics and has been intensely studied, especially since the discovery of high-temperature cuprate superconductors. Combining complementary capabilities two computational methods, we found superconductivity both electron- hole-doped regimes two-dimensional with next-nearest-neighbor hopping. In electron-doped regime, was weaker accompanied by antiferromagnetic Néel correlations at low doping. strong on side coexisted stripe order, which...
The emergence of spinon quasiparticles, which carry spin but lack charge, is a hallmark collective quantum phenomena in low-dimensional systems. While the existence spinons has been demonstrated through scattering spectroscopy ensemble samples, real-space imaging these quasiparticles within individual chains remained elusive. In this study, we construct Heisenberg antiferromagnetic spin-1/2 using open-shell [2]triangulene molecules as building blocks. Each unit, owing to its sublattice...
Using the example of two-dimensional (2D) Ising model, we show that in contrast to what can be done configuration space, tensor renormalization group (TRG) formulation allows one write exact, compact, and manifestly local blocking formulas exact coarse grained expressions for partition function. We argue similar results should hold most models studied by lattice gauge theorists. provide several 2D spin (the O(2) O(3) sigma SU(2) principal chiral model) 3D theories with groups Z_2, U(1)...
Using the tensor renormalization group method based on higher-order singular value decomposition, we have studied thermodynamic properties of continuous $XY$ model square lattice. The temperature dependence free energy, internal and specific heat agree with Monte Carlo calculations. From field magnetic susceptibility, find Kosterlitz-Thouless transition to be $0.8921(19)$, consistent as well high series expansion results. At temperature, critical exponent $\ensuremath{\delta}$ is estimated...
The Hubbard model and its extensions are important microscopic models for understanding high-${T}_{c}$ superconductivity in cuprates. In the with next-nearest-neighbor hopping ${t}^{\ensuremath{'}}$ (the ${t}^{\ensuremath{'}}$-Hubbard model), pairing is strongly influenced by ${t}^{\ensuremath{'}}$. particular, a recent study on width-4 cylinder observed quasi-long-range superconducting order, associated negative ${t}^{\ensuremath{'}}$, which was taken to imply two-dimensional (2D) limit....
We determine the spin and charge orders in ground state of doped two-dimensional (2D) Hubbard model its simplest form, namely with only nearest-neighbor hopping on-site repulsion. At half-filling, is known to be an anti-ferromagnetic Mott insulator. Doping insulators believed relevant superconductivity observed cuprates. A variety candidates have been proposed for 2D model. recent work employing a combination several state-of-the-art numerical many-body methods, established stripe order as...
We perform an in-depth investigation of the phase diagram ${J}_{1}\ensuremath{-}{J}_{2}$ Heisenberg model on square lattice. take advantage density matrix renormalization group and fully augmented product states methods reach unprecedented accuracy with large bond dimensions. utilize excited-level crossing analysis to pinpoint transition points. It was believed before that there exists a narrow spin liquid sandwiched by N\'eel antiferromagnetic (AFM) valence solid (VBS) phases. Through...
Ground state properties of the Hubbard model on a two-dimensional square lattice are studied by auxiliary-field quantum Monte Carlo method. Accurate results for energy, double occupancy, effective hopping, magnetization, and momentum distribution calculated interaction strengths U/t from 2 to 8, range densities including half-filling n = 0.3, 0.5, 0.6, 0.75, 0.875. At half-filling, numerically exact. Away constrained path method is employed control sign problem. Our obtained with several...
High-Tc superconductivity with possible $T_{c}\approx 80K$ has been reported in the single crystal of $\text{La}_{3}\text{Ni}_{2}\text{O}_{7}$ under high pressure. Based on electronic structure given from density functional theory calculations, we propose an effective bi-layer model Hamiltonian including both $3d_{z^{2}}$ and $3d_{x^{2}-y^{2}}$ orbital electrons nickel cations. The main feature is that form inter-layer $\sigma$-bonding anti-bonding bands via apical oxygen anions between two...
Combining the complementary capabilities of two most powerful modern computational methods, we find superconductivity in both electron- and hole-doped regimes two-dimensional Hubbard model (with next nearest neighbor hopping). In electron-doped regime, is weaker accompanied by antiferromagnetic Néel correlations at low doping. The strong on side coexists with stripe order, which persists into overdoped region hole density modulation. These orders, neither filled as pure (no hopping) nor...
We have precisely determined the ground state phase diagram of quantum spin-1 bilinear-biquadratic Heisenberg model on honeycomb lattice using tensor renormalization group method. find that ferromagnetic, ferroquadrupolar, and a large part antiferromagnetic phases are stable against fluctuations. However, around where is antiferroquadrupolar ordered in classical limit, fluctuations suppress completely all magnetic orders, leading to plaquette order which breaks symmetry but preserves spin...
We consider the sign problem for classical spin models at complex $\ensuremath{\beta}=1/{g}_{0}^{2}$ on $L\ifmmode\times\else\texttimes\fi{}L$ lattices. show that tensor renormalization group method allows reliable calculations larger Im$\ensuremath{\beta}$ than reweighting Monte Carlo method. For Ising model with $\ensuremath{\beta}$ we compare our results exact Onsager-Kaufman solution finite volume. The Fisher zeros can be determined precisely check convergence of $O(2)$ lattices when...
Quantum Monte Carlo (QMC) methods are one of the most important tools for studying interacting quantum many-body systems. The vast majority QMC calculations in fermion systems require a constraint to control sign problem. involves an input trial wave function which restricts random walks. We introduce systematically improvable relies on fundamental role density or one-body matrix. An independent-particle calculation is coupled auxiliary-field calculation. solution used as QMC, then produces...
We address the calculation of dynamical correlation functions for many fermion systems at zero temperature, using auxiliary-field quantum Monte Carlo method. The two-dimensional Hubbard hamiltonian is used as a model system. Although most calculations performed here are cases where sign problem absent, discussions kept general applications to physical problems when does arise. study use twisted boundary conditions improve extrapolation results thermodynamic limit. A strategy proposed...
$A\phantom{\rule{0}{0ex}}b$ $i\phantom{\rule{0}{0ex}}n\phantom{\rule{0}{0ex}}i\phantom{\rule{0}{0ex}}t\phantom{\rule{0}{0ex}}i\phantom{\rule{0}{0ex}}o$ computations of finite-temperature properties are important in fermion systems such as correlated models, ultracold Fermi atomic gases, and optical lattices, realistic materials. Here, the authors present a highly accurate approach that eliminates sign problem standard determinantal quantum Monte Carlo (DQMC) using gauge constraint...
In this work, we study the correlation between entanglement and negative sign problem in quantum Monte Carlo for simulation of low-dimensional strongly correlated many body systems. Entanglement entropy characterizes difficulty many-body with tensor network state related methods, while average measures a variety methods. Although there exist cases where one type method works better than other, it is desirable to find possible general hard systems regarding computational complexity. We take...
Density Matrix Renormalization Group (DMRG) and its extensions in the form of Product States (MPS) are arguably choice for study one dimensional quantum systems last three decades. However, due to limited entanglement encoded wave-function ansatz, maintain accuracy DMRG with increase system size two systems, exponentially increased resources required, which limits applicability only narrow systems. In this work, we introduce a new ansatz is augmented disentanglers encode area-law-like...