arXiv subjects

Wenxing Nie

Publications and source records attributed to Wenxing Nie.

10 recordsLinked to original sources

arXiv2026

Flat-band Ferromagnetism of SU$(N)$ Hubbard Model on the Kagome Lattices

The kagome lattice, a well known example of the geometrically frustrated system, hosts a dispersionless flat band that offers a unique platform for studying correlation-driven quantum phenomena. At appropriate particle concentrations, the existence of a flat band allows a representation of percolation with nontrivial weights. In this work, we investigate the paramagnetic-ferromagnetic transition in the repulsive SU($N$) Hubbard model on the kagome lattice within this percolation framework. In this representation, the model can be rigorously mapped to a classical $N$-state site-percolation problem on a triangular lattice, with the SU($N$) symmetry reflected in the nontrivial weights. By large-scale Monte Carlo simulations for SU($3$), SU($4$), and SU($10$) symmetries, we demonstrate that the critical particle concentration for ferromagnetism exceeds the standard percolation threshold and increases with $N$, indicating a strengthening of the effective entropic repulsion.

cond-mat.str-el↗

arXiv2025

Non-Hermitian Chiral Superfluids with a Complex Interaction

Recently, the influence of dissipation on a quantum system has attracted much attention, particularly on how the non-Hermitian terms modify the energy spectrum, band topology, and phase transition point. Motivated by the recent investigation of non-Hermitian $s$-wave superfluidity, we study the non-Hermitian chiral $p+ip$ superfluid (SF) with a complex-valued interaction, originating from inelastic scattering between fermions. We reformulate the non-Hermitian mean-field theory for chiral SFs and derive the gap equation in the path integral approach. By numerically solving the gap equation, we obtain the phase diagram of the non-Hermitian $p+ip$ SF, characterized by the reentrant SF transition and dissipation-induced SF phase, as a result of the evolution of the exceptional lines. The method can be extended to higher partial-wave chiral SFs, such as $d+id$ and $f+if$-wave SFs. We further consider such a chiral $p+ip$ SF on a square lattice, to investigate the influence of dissipation on topology. We find that the non-Hermitian skin effect is absent in the specific cylinder geometry, in which the topology associated with the edge modes and Chern number is robust to dissipation. Besides, we find that the energies at the robust point nodes and line nodes are pure real. We further verify the conditions of zero winding number in (quasi-) one-dimensional systems, and prove an associated ``no-go'' theorem, which is hopefully applied to explore the geometry dependent skin effect.

cond-mat.supr-con↗

arXiv2025

Vortices in Two-Dimensional Chiral Superfluids

We study the orbital angular momentum (OAM) $L_z$ of two-dimensional chiral $(p_x+ip_y)^ν$-wave superfluids (SFs) in the presence of an axisymmetric multiply quantized vortex (MQV) with vorticity $k$ on a disk at zero temperature, in the framework of Bogoliubov-de Gennes (BdG) theory. Focusing on spectral asymmetry (or spectral flow), we find that $L_z=(k+ν)N/2$ for any integer $ν$ and $k$ in the Bose-Einstein Condensation (BEC) regime, where $N$ is the total number of fermions. While in the weak-pairing Bardeen-Cooper-Schrieffer (BCS) regime, only for chiral $p+ip$-wave SF with $k=\pm 1$, $L_z=(k+ν)N/2$ still holds. For chiral SFs with $ν\ge2$ or $|k|\ge2$ in the BCS regime, the OAM $L_z$ is remarkably reduced from its ``full" value in the BEC regime. However, the deviations differ in these two cases. For chiral SFs with $ν\ge2$, $L_z$ is sharply suppressed in this ideal setting with a specular wall, while the suppression caused by the $|k| \ge 2$ vortex is moderate, which is core-size dependent. Furthermore, for $p+ip$-wave SF with $k=-1$, the total OAM $L_z$ is zero, but the distribution $L_z(r)$ is nontrivial compared with that of vortex-free $s$-wave SF, in which the total OAM is zero as well. For chiral SFs with $ν\ge2$ and $|k|\ge2$, the effects of circulation due to vortex and chiral pairing can coexist, and hence depress the OAM simultaneously. These observations can be explained by spectral asymmetry and unpaired fermions in the ground state of the BdG Hamiltonian. We also investigate the spatial distribution of particle density, OAM, by solving the BdG equation.

cond-mat.supr-con↗

arXiv2020

Edge current and orbital angular momentum of chiral superfluids revisited

Cooper pairs in chiral superfluids carry quantized units of relative orbital angular momentum (OAM). Various predictions of the intrinsic OAM density or the macroscopic OAM of a two-dimensional chiral superfluid differ by several orders of magnitude, which constitute the so-called Angular Momentum Paradox. Following several previous studies, we substantiate the semiclassical Bogoliubov-de Gennes theory of the single-particle edge current and OAM in two-dimensional chiral superfluids in the BCS limit. The analysis provides a simple intuitive understanding for the vanishing of OAM for a non-p-wave chiral superfluid (such as $d+id$) confined in a rigid potential. When generalized to anisotropic chiral superconductors and three-dimensional chiral superfluids, the theory similarly returns an accurate description. We also present a detailed numerical study of the chiral phases in the BEC limit. Our study suggests that, in both BCS and BEC phases the relative OAM of the individual Cooper pairs contribute to the total OAM additively, and that in both phases the corresponding macroscopic OAM density distribution is localized at the boundary.

cond-mat.supr-con↗

arXiv2019

Flat-band Ferromagnetism of the SU$(N)$ Hubbard Model on the Tasaki Lattice

We investigate the para-ferro transition of the repulsive SU($N$) Hubbard model on one- and two-dimensional Tasaki lattices. Under certain restrictions for constructing localized many-particle ground states of flat-band ferromagnetism, the quantum strongly correlated electrons model is mapped to a classical statistical geometric site-percolation problem, where the nontrivial weights of different configurations must be considered. We prove rigorously the para-ferro transition for the SU($N$) Hubbard model on one-dimensional Tasaki lattice by transfer-matrix method, and numerically verify it for the model with symmetries up to SU($10$). In two dimensions, we numerically investigate the phase transition of SU($3$), SU($4$) and SU($10$) Hubbard models by Metropolis Monte Carlo simulation. And we find the critical density exceeds that of standard percolation, and it increases with spin degrees of freedom, implying that the effective repulsive interaction becomes stronger for larger $N$. We further rigorously prove the flat-band ferromagnetism of the SU$(N)$ Hubbard model, when the number of particles $N_e$ equals to the degeneracy $N_d$ of the lowest band in the single-particle energy spectrum.

cond-mat.str-el↗

arXiv2018

Particle Statistics, Frustration, and Ground-State Energy

We study the connections among particle statistics, frustration, and ground-state energy in quantum many-particle systems. In the absence of interaction, the influence of particle statistics on the ground-state energy is trivial: the ground-state energy of noninteracting bosons is lower than that of free fermions because of Bose-Einstein condensation and Pauli exclusion principle. In the presence of hard-core or other interaction, however, the comparison is not trivial. Nevertheless, the ground-state energy of hard-core bosons is proved to be lower than that of spinless fermions, if all the hopping amplitudes are nonnegative. The condition can be understood as the absence of frustration among hoppings. By mapping the many-body Hamiltonian to a tight-binding model on a fictitious lattice, we show that the Fermi statistics of the original particles introduces an effective magnetic flux in the fictitious lattice. The latter can be regarded as a frustration, since it leads to a destructive interference among different paths along which a single particle is propagating. If we introduce hopping frustration, the hopping frustration is expected to compete with "effective frustration", leading to the possibility that the ground-state energy of hard-core bosons can be higher than that of fermions. We present several examples, in which the ground-state energy of hard-core bosons is proved to be higher than that of fermions due to the hopping frustration. The basic ideas were reported in a recent Letter [W.-X. Nie, H. Katsura, and M. Oshikawa, Phys. Rev. Lett. 111, 100402 (2013)]; more details and several extensions, including one to the spinful case, are discussed in the present paper.

cond-mat.stat-mech↗

arXiv2017

Ferromagnetic ground state of SU(3) Hubbard model on the Lieb lattice

We investigate the magnetic properties of a repulsive fermionic SU($3$) Hubbard model on the Lieb lattice from weak to strong interaction by means of the mean-field approximation. To validate the method we employed, we first discuss the SU($2$) Hubbard model at the mean-field level, and find that our results are consistent with known rigorous theorems. We then extend the calculation to the case of SU($3$) symmetry. We find that, at $4/9$ filling, the SU$(3)$ symmetry spontaneously breaks into the SU$(2)\times$U$(1)$ symmetry in the ground state, leading to a staggered ferromagnetic state for any repulsive $U$ at zero temperature. We then investigate the stability of the ferromagnetic state by relaxing the filling away from $4/9$, and conclude that the ferromagnetic state is sensitive but robust to fillings, as it can persist within a certain filling regime. We also apply the mean-field approximation to finite temperature to calculate the critical temperature and the critical entropy of the ferromagnetic state. As the resulting critical entropy per particle is significantly greater than that can be realized in experiments, we expect some quasi-long-range-ordered features of such a ferromagnetic state can be realized and observed with fermionic alkaline-earth-metal(-like) atoms loaded into optical lattices.

cond-mat.str-el↗

arXiv2017

Weyl magnons in pyrochlore antiferromagnets with all-in-all-out orders

We investigate novel topological magnon band crossings of pyrochlore antiferromagnets with all-in-all-out (AIAO) magnetic order. By general symmetry analysis and spin-wave theory, we show that pyrochlore materials with AIAO orders can host Weyl magnons under external magnetic fields or uniaxial strains. Under a small magnetic field, the magnon bands of the pyrochlore with AIAO background can feature two opposite-charged Weyl points, which is the minimal number of Weyl points realizable in quantum materials and has not be experimentally observed so far. We further show that breathing pyrochlores with AIAO orders can exhibit Weyl magnons upon uniaxial strains. These findings apply to any pyrochlore material supporting AIAO orders, irrespective of the forms of interactions. Specifically, we show that the Weyl magnons are robust against direct (positive) Dzyaloshinskii-Moriya interactions. Because of the ubiquitous AIAO orders in pyrochlore magnets including R$_2$Ir$_2$O$_7$, and experimentally achievable external strain and magnetic field, our predictions provide promising arena to witness the Weyl magnons in quantum magnets.

cond-mat.str-el↗

arXiv2014

Orbital Angular Momentum and Spectral Flow in Two Dimensional Chiral Superfluids

We study the orbital angular momentum (OAM) $L_z$ in two dimensional chiral $(p_x+ip_y)^ν$-wave superfluids (SF) of $N$ fermions on a disc at zero temperature, in terms of spectral asymmetry and spectral flow. It is shown that $L_z=νN/2$ for any integer $ν$, in the BEC regime. In contrast, in the BCS limit, while the OAM is $L_z=N/2$ for the $p+ip$-wave SF, for chiral SF with $ν\geq2$, the OAM is remarkably suppressed as $L_z=N\times O(Δ_0/\varepsilon_F)\ll N$, where $Δ_0$ is the gap amplitude and $\varepsilon_F$ is the Fermi energy. We demonstrate that the difference between the $p+ip$-wave SF and the other chiral SFs in the BCS regimes originates from the nature of edge modes and related depairing effects.

cond-mat.supr-con↗

arXiv2013

Ground-state Energies of Spinless Free Fermions and Hard-core Bosons

We compare the groundstate energies of bosons and fermions with the same form of the Hamiltonian. If both are noninteracting, the groundstate energy of bosons is always lower, owing to Bose-Einstein Condensation. However, the comparison is nontrivial when bosons do interact. We first prove that, when the hopping is unfrustrated (all the hopping amplitudes are non-negative), hard-core bosons still must have a lower groundstate energy than the fermions. When the hopping is frustrated, bosons can have higher groundstate energy than fermions. We prove rigorously that this inversion indeed occurs in several examples, using various techniques.

cond-mat.stat-mech↗