- Topological Materials and Phenomena
- Graphene research and applications
- Physics of Superconductivity and Magnetism
- Cold Atom Physics and Bose-Einstein Condensates
- Quantum and electron transport phenomena
- Advanced Condensed Matter Physics
- Rare-earth and actinide compounds
- Iron-based superconductors research
- 2D Materials and Applications
- Quantum many-body systems
- Organic and Molecular Conductors Research
- Quantum, superfluid, helium dynamics
- Advanced Chemical Physics Studies
- Spectral Theory in Mathematical Physics
- Atomic and Subatomic Physics Research
- Acoustic Wave Resonator Technologies
- Diamond and Carbon-based Materials Research
- Ultrasonics and Acoustic Wave Propagation
- Advanced Materials Characterization Techniques
- Matrix Theory and Algorithms
- Quantum chaos and dynamical systems
- Boron and Carbon Nanomaterials Research
- Magnetic and transport properties of perovskites and related materials
- Quantum Mechanics and Non-Hermitian Physics
- Carbon Nanotubes in Composites
Rice University
2022-2025
Northwestern University
2019-2024
National High Magnetic Field Laboratory
2016-2019
Florida State University
2016-2019
McMaster University
2013-2016
Strange-metal behavior has been observed in materials ranging from high-temperature superconductors to heavy fermion metals. In conventional metals, current is carried by quasiparticles; although it suggested that quasiparticles are absent strange direct experimental evidence lacking. We measured shot noise probe the granularity of current-carrying excitations nanowires metal YbRh
There is extensive current interest in electronic topology correlated settings. In strongly systems, contours of Green's function zeros may develop frequency-momentum space, and their role has increasingly been recognized. However, whether how the contribute to properties a matter uncertainty. Here we address issue an exactly solvable model for Mott insulator. We show that several physically measurable correlation functions way does not run into inconsistencies. particular, physical remain...
Lattice symmetries are central to the characterization of electronic topology. Recently, it was shown that Green's function eigenvectors form a representation space group. This formulation has allowed identification gapless topological states even when quasiparticles absent. Here we demonstrate profundity framework in extreme case, interactions lead Mott insulator, through solvable model with long-range interactions. We find both poles and zeros subject symmetry constraints, relate...
One of the key factors that determine fates quantum many-body systems in zero temperature limit is competition between kinetic energy delocalizes particles space and interaction promotes localization. While one dominates over other conventional metals insulators, exotic states can arise at critical points where none them clearly wins. Here we present a class metallic emerge an antiferromagnetic (AF) point presence one-dimensional Fermi surfaces embedded dimensions three below. At point,...
Recently, superconductivity has been observed in twisted ${\mathrm{WSe}}_{2}$ moir\'e structures (Xia et al., Nature (London) 637, 833 (2025); Guo 839 (2025)). Its transition temperature is high, reaching a few percent of the Fermi scale. Here, we advance mechanism for based on notion that electronic topology enables quantum fluctuations suitable regime intermediate correlations. In this regime, Coulomb interaction requires an active topological flat band and nearby wider bands are...
The authors provide an example of a stable two-dimensional non-Fermi liquid state without time-reversal and parity invariance. It could be realized at interface two stacks quantum Hall layers with opposite chiralities.
In Weyl semimetals, points act as monopoles and antimonopoles of the Berry curvature, with a monopole-antimonopole pair producing net-zero flux. When inversion symmetry is preserved, two-dimensional (2D) planes that separate carry quantized this work, we introduce class symmetry-protected semimetals which host pairs generate dipolar Thus, both monopolar fluxes coexist in Brillouin zone, results two distinct types topologically nontrivial separating points, carrying either or We construct...
We study Weyl-loop semi-metals with short range interactions, focusing on the possible interaction driven instabilities. introduce an $\epsilon$ expansion regularization scheme by means of which instabilities may be investigated in unbiased manner through a controlled weak coupling renormalization group calculation. The problem has enough structure that `functional' calculation (necessary for extended Fermi surface) can carried out analytically. leading are identified, and when there...
We study non-Fermi-liquid states that arise at the quantum critical points associated with spin density wave (SDW) and charge (CDW) transitions in metals twofold rotational symmetry. use dimensional regularization scheme, where a one-dimensional Fermi surface is embedded $(3\ensuremath{-}\ensuremath{\epsilon})$-dimensional momentum space. In three dimensions, quasilocal marginal liquids both SDW CDW points: speed of collective mode along ordering vector logarithmically renormalized to zero...
In systems above one dimension, continuously degenerate minima of the single-particle dispersion are realized due to or a combination system parameters such as lattice structure, isotropic spin-orbit coupling, and interactions. A unit codimension leads divergent density states which enhances effects interactions, may lead novel matter exemplified by Luttinger liquids in one-dimensional bosonic systems. Here we show that dilute, homogeneous weak, spin-independent, interparticle interactions...
We propose a general framework for constructing large set of nodal-point semimetals by tuning the number linearly (${d}_{L}$) and (at most) quadratically (${d}_{Q}$) dispersing directions. By virtue such unifying scheme, we identify new perturbative route to access various strongly interacting non-Dirac with ${d}_{Q}>0$. As demonstrative example, relate two-dimensional anisotropic semimetal ${d}_{L}={d}_{Q}=1$, describing topological transition between Dirac normal insulator, its...
A theoretical framework is outlined for calculating the spin-Chern number of topological Dirac semimetals and quantum spin Hall insulators lacking spin-conservation law gapless edge modes. Spin-charge separation quantized spin-pumping are probed by inserting a magnetic flux tube.
Rare-earth magnets with parent cubic symmetry exhibit unique topological properties. However, the origin of these behaviors presently remains unclear. Here, we develop minimal models for Dirac semimetals (DSMs) accidental band crossings and higher-order topology in systems, incorporating candidate magnetic order to analyze bulk, surface, hinge state characteristics. In certain cubic-symmetric DSMs, identify an effective <a:math xmlns:a="http://www.w3.org/1998/Math/MathML"><a:msub><a:mi...
Recently, a new group of layered transition-metal tetra-chalcogenides was proposed via first-principles calculations to correspond family Weyl type-II semimetals with promising topological properties in the bulk as well monolayer limit. In this paper, we present measurements Shubnikov-de Haas (SdH) and de Haas-van Alphen effects under high magnetic fields for semimetallic candidate ${\mathrm{NbIrTe}}_{4}$. We find that angular dependence observed Fermi surface extremal cross-sectional areas...
We study the quantum phases driven by interaction in a semimetal with quadratic band touching at Fermi level. By combining density matrix renormalization group (DMRG), analytical power expanded Gibbs potential method, and weak coupling group, we spinless fermion system on checkerboard lattice half-filling, which has absence of interaction. In presence strong nearest-neighbor ($V_1$) next-nearest-neighbor ($V_2$) interactions, identify site nematic insulator phase, stripe phase separation...
Frustrated spin systems have traditionally proven challenging to understand, owing a scarcity of controlled methods for their analyses. By contrast, under strong magnetic fields, certain aspects admit simpler and universal description in terms hardcore bosons. The bosonic formalism is anchored by the phenomenon Bose-Einstein condensation (BEC), which has helped explain behaviors wide range compounds applied fields. Here, we focus on interplay between frustration externally field identify...
Band topology of anomalous quantum Hall insulators can be precisely addressed by computing the Chern numbers constituent nondegenerate bands, describing presence quantized, Abelian Berry flux through two-dimensional Brillouin zone. Can captured for $SU(2)$ connection two-fold degenerate bands in spinful materials preserving space-inversion ($\mathcal{P}$) and time-reversal ($\mathcal{T}$) symmetries without detailed knowledge underlying basis? We address this question investigating...
ZrSiSe, similar to ZrSiS and ZrSiTe, displays a set of Dirac nodal lines at nonsymmorphic (and symmorphic) positions that are (are not) protected from gap opening due spin-orbit coupling. The fourfold angular dependence its magnetoresistivity was recently claimed result topological phase transition as function field orientation. Instead, the calculations here reveal this compound does not display (strong) character, while measurements indicate anomalous results quasiparticle quantum lifetime(s).
Kagome metals offer a unique platform for investigating robust electron-correlation effects because of their lattice geometry, flat bands and multi-orbital nature. In the cases with active bands, recent theoretical studies have pointed to rich phase diagram that contains not only electronic orders but also quantum criticality. $\rm CsCr_3Sb_5$ has emerged as strong candidate exploring such new physics. Here, using effective tight-binding models obtained from ab initio calculations, we study...
Flat electronic bands are expected to show proportionally enhanced electron correlations, which may generate a plethora of novel quantum phases and unusual low-energy excitations. They increasingly being pursued in $d$-electron-based systems with crystalline lattices that feature destructive interference, where they often topological. Such flat bands, though, generically located far away from the Fermi energy, limits their capacity partake physics. Here we correlations produce emergent...
Strange metals arise in a variety of platforms for strongly correlated electrons, ranging from the cuprates, heavy fermions to flat band systems. Motivated by recent experiments kagome metals, we study Hubbard model on lattice whose noninteracting limit contains bands. A Kondo description is constructed, which degrees freedom are exponentially localized molecular orbitals. We identify an orbital-selective Mott transition through extended dynamical mean field theory effective model. The...
We study systems made of periodic arrays one-dimensional quantum wires coupled by Coulomb interaction. Using bosonization an interacting metallic fixed point is obtained, which shown to be a higher-dimensional analog the Tomonaga-Luttinger liquid, or sliding Luttinger liquid. This non-Fermi liquid state, however, unstable in presence weak interwire backscatterings, favor charge density wave states and suppress pairing. Depending on effective strength repulsion size spacing, various are...
The interaction-driven quantum anomalous Hall (QAH) insulator has been sought for a long time in Dirac semimetal with linear band touching points at the Fermi level. By combining exact diagonalization, density matrix renormalization group, and analytical methods, we study spinless fermion system on checkerboard lattice twofold rotational symmetry, which realizes two absence of interaction. At weak coupling, is stable. finite density-density repulsive interaction, analyze possible symmetry...