Zheng‐Cheng Gu
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View article: Competing pair density wave orders in the square lattice t-J model
Competing pair density wave orders in the square lattice t-J model Open
View article: Construction and Classification of Crystalline Topological Superconductor and Insulators in Three-Dimensional Interacting Fermion Systems
Construction and Classification of Crystalline Topological Superconductor and Insulators in Three-Dimensional Interacting Fermion Systems Open
The natural existence of crystalline symmetry in real materials manifests the importance of understanding crystalline symmetry-protected topological phases, especially for interacting systems. In this paper, we systematically construct and…
View article: Parity violation as enforced symmetry breaking in 3D fermionic topological order
Parity violation as enforced symmetry breaking in 3D fermionic topological order Open
Symmetry can be intrinsically broken in topological phases due to inherent incompatibilities, a phenomenon known as enforced symmetry breaking (ESB) in the framework of topological order. In our previous work, we developed a systematic fra…
View article: Precision Reconstruction of Rational Conformal Field Theory from Exact Fixed-Point Tensor Network
Precision Reconstruction of Rational Conformal Field Theory from Exact Fixed-Point Tensor Network Open
The novel concept of entanglement renormalization and its corresponding tensor network renormalization technique have been highly successful in developing a controlled real-space renormalization group (RG) scheme. Numerically approximate f…
View article: Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry
Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Open
We investigate (1+1)d symmetry-protected topological (SPT) phases with fusion category symmetries. We emphasize that the UV description of an anomaly-free fusion category symmetry must include the fiber functor, giving rise to a local symm…
View article: Exactly solvable models for fermionic symmetry-enriched topological phases and fermionic 't Hooft anomaly
Exactly solvable models for fermionic symmetry-enriched topological phases and fermionic 't Hooft anomaly Open
The interplay between symmetry and topological properties plays a very important role in modern physics. In the past decade, the concept of symmetry-enriched topological (SET) phases was proposed and their classifications have been systema…
View article: Quantum Criticality with Emergent Symmetry in the Extended Shastry-Sutherland Model
Quantum Criticality with Emergent Symmetry in the Extended Shastry-Sutherland Model Open
Motivated by the novel phenomena observed in the layered material SrCu_{2}(BO_{3})_{2}, the Shastry-Sutherland model (SSM) has been extensively studied as the minimal model for SrCu_{2}(BO_{3})_{2}. However, the nature of its quantum phase…
View article: Tensor network study of the spin-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mfrac><mml:mn>1</mml:mn><mml:mn>2</mml:mn></mml:mfrac></mml:math> square-lattice <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mtext>−</mml:mtext><mml:msub><mml:mi>J</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:mtext>−</mml:mtext><mml:msub><mml:mi>J</mml:mi><mml:mn>3</mml:mn></mml:msub></mml:mrow></mml:math> model: Incommensurate spiral order, mixed valence-bond solids, and multicritical points
Tensor network study of the spin- square-lattice model: Incommensurate spiral order, mixed valence-bond solids, and multicritical points Open
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View article: Pseudogap phase as fluctuating pair density wave
Pseudogap phase as fluctuating pair density wave Open
The physical nature of pseudogap phase is one of the most important and intriguing problems towards understanding the key mechanism of high temperature superconductivity in cuprates. Theoretically, the square-lattice $t$-$J$ model is widel…
View article: Global phase diagram of doped quantum spin liquid on the Kagome lattice
Global phase diagram of doped quantum spin liquid on the Kagome lattice Open
It has long been believed that doped quantum spin liquids (QSLs) can give rise to fascinating quantum phases, including the possibility of high-temperature superconductivity (SC) as proposed by P. W. Anderson's resonating valence bond (RVB…
View article: The emergence of Einstein gravity from topological supergravity in $3+1$D
The emergence of Einstein gravity from topological supergravity in $3+1$D Open
The topological aspects of Einstein gravity suggest that topological invariance could be a more profound principle in understanding quantum gravity. In this work, we explore a topological supergravity action that initially describes a univ…
View article: Tensor network renormalization: application to dynamic correlation functions and non-hermitian systems
Tensor network renormalization: application to dynamic correlation functions and non-hermitian systems Open
In recent years, tensor network renormalization (TNR) has emerged as an efficient and accurate method for studying (1+1)D quantum systems or 2D classical systems using real-space renormalization group (RG) techniques. One notable applicati…
View article: Precision reconstruction of rational CFT from exact fixed point tensor network
Precision reconstruction of rational CFT from exact fixed point tensor network Open
The novel concept of entanglement renormalization and its corresponding tensor network renormalization technique have been highly successful in developing a controlled real space renormalization group (RG) scheme. Numerically approximate f…
View article: Stacking Group Structure of Fermionic Symmetry-Protected Topological Phases
Stacking Group Structure of Fermionic Symmetry-Protected Topological Phases Open
In the past decade, there has been a systematic investigation of symmetry-protected topological (SPT) phases in interacting fermion systems. Specifically, by utilizing the concept of equivalence classes of finite-depth fermionic symmetric …
View article: Preparation and Density Functional Theory Studies of Aluminosilicate-Based Ceramic Solidified Products for Sr Immobilization
Preparation and Density Functional Theory Studies of Aluminosilicate-Based Ceramic Solidified Products for Sr Immobilization Open
Strontium is a common radionuclide in radioactive waste, and its release into the environment can cause enormous damage to the ecosystem environment. In this study, the natural mineral allophane was selected as the substrate to prepare sol…
View article: Tensor network study of the spin-1/2 square-lattice $J_1$-$J_2$-$J_3$ model: incommensurate spiral order, mixed valence-bond solids, and multicritical points
Tensor network study of the spin-1/2 square-lattice $J_1$-$J_2$-$J_3$ model: incommensurate spiral order, mixed valence-bond solids, and multicritical points Open
We use the finite projected entangled pair state (PEPS) method to investigate the global phase diagram of the spin-1/2 square-lattice $J_1$-$J_2$-$J_3$ antiferromagnetic (AFM) Heisenberg model. The ground state phase diagram is established…
View article: Quantum criticality with emergent symmetry in the extended Shastry-Sutherland model
Quantum criticality with emergent symmetry in the extended Shastry-Sutherland model Open
Motivated by the novel phenomena observed in the layered material $\rm SrCu_2(BO_3)_2$, the Shastry-Sutherland model (SSM) has been extensively studied as the minimal model for $\rm SrCu_2(BO_3)_2$. However, the nature of its quantum phase…
View article: Enforced symmetry breaking by invertible topological order
Enforced symmetry breaking by invertible topological order Open
It is well known that two-dimensional fermionic systems with a nonzero Chern number must break the time-reversal symmetry, manifested by the appearance of chiral edge modes on an open boundary. Such an incompatibility between topology and …
View article: Spin-charge separation and unconventional superconductivity in \textit{t}-\textit{J} model on honeycomb lattice
Spin-charge separation and unconventional superconductivity in \textit{t}-\textit{J} model on honeycomb lattice Open
The physical nature of doped Mott-insulator has been intensively studied for more than three decades. It is well known that the single band Hubbard model or $t$-$J$ model on the bipartite lattice is the simplest model to describe a doped M…
View article: Intrinsically Interacting Higher-Order Topological Superconductors
Intrinsically Interacting Higher-Order Topological Superconductors Open
We propose a minimal interacting lattice model for two-dimensional class-$D$ higher-order topological superconductors with no free-fermion counterpart. A Lieb-Schultz-Mattis-type constraint is proposed and applied to guide our lattice mode…
View article: Emergence of Gapless Quantum Spin Liquid from Deconfined Quantum Critical Point
Emergence of Gapless Quantum Spin Liquid from Deconfined Quantum Critical Point Open
A quantum spin liquid (QSL) is a novel phase of matter with long-range entanglement where localized spins are highly correlated with the vanishing of magnetic order. Such exotic quantum states provide the opportunities to develop new theor…
View article: Competing orders in the honeycomb lattice $t$-$J$ model
Competing orders in the honeycomb lattice $t$-$J$ model Open
We study the honeycomb lattice $t$-$J$ model using the fermionic tensor network approach. By examining the ansatz with various unit cells, we discover several different stripe states with different periods that compete strongly with unifor…
View article: Real-space construction of crystalline topological superconductors and insulators in 2D interacting fermionic systems
Real-space construction of crystalline topological superconductors and insulators in 2D interacting fermionic systems Open
The construction and classification of crystalline symmetry protected topological (SPT) phases in interacting bosonic and fermionic systems have been intensively studied in the past few years. Crystalline SPT phases are not only of concept…
View article: Chiral SO(4) spin-valley density wave and degenerate topological superconductivity in magic-angle twisted bilayer graphene
Chiral SO(4) spin-valley density wave and degenerate topological superconductivity in magic-angle twisted bilayer graphene Open
Starting from a realistic extended Hubbard model for a $p_{x,y}$-orbital\ntight-binding model on the Honeycomb lattice, we perform a thorough\ninvestigation on the possible electron instabilities in the MA-TBG near the van\nHove (VH) dopin…
View article: Tensor-network renormalization approach to the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>q</mml:mi></mml:math>-state clock model
Tensor-network renormalization approach to the -state clock model Open
We simulate the phase diagram and critical behavior of the q-state clock model on the square lattice by using the state-of-the-art loop optimization for tensor-network renormalization (loop-TNR) algorithm. The two phase transition points f…
View article: Construction and classification of crystalline topological superconductor and insulators in three-dimensional interacting fermion systems
Construction and classification of crystalline topological superconductor and insulators in three-dimensional interacting fermion systems Open
The natural existence of crystalline symmetry in real materials manifests the importance of understanding crystalline symmetry-protected topological (SPT) phases, especially for interacting systems. In this paper, we systematically constru…
View article: Lattice model constructions for gapless domain walls between topological phases
Lattice model constructions for gapless domain walls between topological phases Open
Domain walls between different topological phases are one of the most interesting phenomena that reveal the non-trivial bulk properties of topological phases. Very recently, gapped domain walls between different topological phases have bee…
View article: Gapless quantum spin liquid and global phase diagram of the spin-1/2 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si99.svg"> <mml:mrow> <mml:msub> <mml:mrow> <mml:mi>J</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>1</mml:mn> </mml:mrow> </mml:msub> <mml:mo linebreak="badbreak">-</mml:mo> <mml:msub> <mml:mrow> <mml:mi>J</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>2</mml:mn> </mml:mrow> </mml:msub> </mml:mrow> </mml:math> square antiferromagnetic Heisenberg model
Gapless quantum spin liquid and global phase diagram of the spin-1/2 square antiferromagnetic Heisenberg model Open
View article: Exactly solvable lattice models for interacting electronic insulators in two dimensions
Exactly solvable lattice models for interacting electronic insulators in two dimensions Open
In the past decade, tremendous efforts have been made towards understanding fermionic symmetry protected topological (FSPT) phases in interacting systems. Nevertheless, for systems with continuum symmetry, e.g., electronic insulators, it i…
View article: Towards a complete classification of non-chiral topological phases in 2D fermion systems
Towards a complete classification of non-chiral topological phases in 2D fermion systems Open
In recent years, fermionic topological phases of quantum matter has attracted a lot of attention. In a pioneer work by Gu, Wang and Wen, the concept of equivalence classes of fermionic local unitary(FLU) transformations was proposed to sys…