• 量子输运及相关凝聚态理论

• 表面和界面的拓扑电子学 (如超导异质结等)

• 非常规超导和磁现象 (如有限动量超导配对等)

• 拓扑超导量子计算 (如Majorana零能模编织)

• 开放和非平衡量子系统 (如非厄米物理效应）

• 量子计算和量子信息理论 ...

（近期研究兴趣：超导异质结，非常规反铁磁，非平衡效应等）

Research interests and highlights 

1. Unconventional antiferromagnets.

1-1) We show that proximity-induced Cooper pairs in altermagnets acquire finite momentum, despite zero net magnetization, leading to exotic phenomena such as pairing correlation oscillations, 0-π transitions in Josephson junctions, unconventional dominant Cooper-pair transfer trajectories and Fraunhofer patterns. [Nature Commun. 2024]

1-2) We propose employing the Coulomb drag to probe altermagnet. We show that transverse currents can be dragged in the passive layer, leading to Hall drag even without spin-orbit coupling. [PRL 2025] 

1-3) We propose a general scheme to construct altermagnetic models which explicitly displays the blend of ferromagnetic and antiferromagnetic correlations in real space via the design of spin clusters. We show that the desired altermagnetic order can spontaneously emerge from electron-electron interaction. [PRL 2025]

2. Topological phenomena in non-Hermitian systems.

2-1) We study the Hatano-Nelson model in presence of electron interactions. At half-filling, we identify two 𝒫𝒯 phase transitions. Away from half-filling, the many-body spectrum shows nontrivial point gaps, indicating the skin effect of extensive many-body eigenstates under open boundaries. [PRB 2022] We extend our theory to spinful systems and propose the non-Hermitian Mott skin effect. [PRL 2024]

2-2) We show that the second-order skin effect is robust and can be enhanced by magnetic fields. [PRL 2023, Editors' Suggestions] Our theory has been applied to experiments. [e.g., APL 2024]

3. Topological states of matter and their unique transport 

3-1) We propose a 2D CDW phase and show that it possesses topological properties that give rise to edge modes due to the chiral edge modes of Chern insulators. [PRL 2023]. We apply our theory in the Ta₂Se₈I experiment [Nat. Phys. 2024]. 

3-2) We find the super-resonant transport of Dirac surface states and its resulting quantum oscillations under in-plane magnetic fields. [PRL 2021] We apply our theory to the HgTe experiment [NL 2023]. 

3-3) We develop a scattering approach to study QH/SC/QH junctions based on 2D Dirac semimetals and propose two setups to realize perfect CAR. [PRL 2019] 

3-4) We derive analytically the topological invariant of QSHIs under perpendicular magnetic fields and show that QSHIs in HgTe and InAs/GaSb quantum wells can sustain large magnetic fields. [PRB 2014] We reveal that in these quantum wells, the Dirac point of edge states is pulled to be close to and even buried in the bulk valence bands when the system is in a deeply inverted regime. [PRB 2018] Our results provide explanations for the experiments on the robust quantum edge transport of QSHIs subjected to strong magnetic fields.

3-5) We present exact solutions of the edge states of Landau levels in topological insulator thin films with open boundaries, and provide an intuitive edge-state picture to understand QH and QSH effects of the surface electrons. [SR 2015]. Our theory has been implemented in experiments [e.g., PRL 2023]. 

4. Higher-Order Topological States of Matter

4-1) Quantum computation based on second-order topological superconductors (SOTSs). We propose a generic model for SOTSs and demonstrate the exotic features of Majorana zero modes (Majoranas). We construct the fundamental fusion principles of the Majoranas, conceive different setups and present concrete protocols to exchange and fuse the Majoranas for non-Abelian braiding and holonomic quantum gate operations. [PRR 2020] We put forward a feasible scheme to realize networks that allow to nucleate and braid Majoranas in an all-electrical manner without fine-tuning.  [PRB 2020]

 

4-2) Detections and functionalities. We propose 0-π Josephson transitions as novel experimental signatures to detect 2D SOTSs and identify the SOTS-based Josephson junction as a fully electric platform to nucleate or annihilate Majorana bound states. [PRR 2020] We find that higher-order Weyl superconductors can be realized in odd-parity topological superconductors by periodic driving. [PRB 2021] We propose a 3D Fabry-Perot interferometer that offers feasible transport signatures to detect SOTIs. [PRL 2022, Cover paper]. Our theory have been applied to the Bi4Br4 experiment by Hasan's group at Princeton [Nature physics 2024].   

4-3) Disorder problem. Random flux is commonly believed to be incapable of driving full metal-insulator transitions. Surprisingly, we show that random flux can after all induce a full metal-insulator transition in the 2D Su-Schrieffer-Heeger model. The resulting insulating phase can even be a higher-order topological insulator. [PRB 2022, Editor's Suggestions]

5. Transport Properties of Weyl and Dirac Semimetals

5-1) Magnetotransport and the chiral anomaly. We develop a comprehensive magnetotransport theory of Weyl semimetals (WSM) in the strong field limit. [PRB 2015, NJP 2016] Our theory has been extensively applied to experiments [e.g., NC 2016, SA 2022]. We propose a theory of magnetic oscillations of acoustic phonons in WSM. [PRB 2020]. This theory has also been applied to experiments [e.g., NC 2022].

5-2) Transport in hybrid structures. We find that a chirality Josephson current emerges under Zeeman fields even without phase difference and embodies a novel quantum anomaly at low energies. [PRL 2018] In an extended regime, the zero-bias differential conductance of a time-reversal symmetric WSM/SC junction acquires the universal value per channel. [PRB 2018]  In NSN junctions based on time-reversal broken WSM, a net spin polarization of Cooper pairs appear due to a chirality imbalance. [PRB 2019]