arXiv subjects

Steven A. Kivelson

Publications and source records attributed to Steven A. Kivelson.

At least 19 recordsLinked to original sources

arXiv2026

Metallic Néel order stabilized by coupling between inequivalent Hubbard layers

Inspired by recent ARPES studies on multilayer ($n\geq3$ layers) cuprate superconductors, we use the unrestricted Hartree-Fock approximation to explore the ground-state phase diagram of two coupled, inequivalently doped square-lattice Hubbard layers. In the decoupled-layer limit, the lightly hole-doped ground state is typically an incommensurate spin-stripe state. However, with sufficiently strong interlayer coupling, stripe order is destabilized relative to a commensurate Néel-ordered metal. The resulting state exhibits a reconstructed Fermi surface with hole pockets centered at $(\pmπ/2,\pmπ/2)$ that are similar in character to those seen in experiments. Our results illustrate the qualitatively new physics that can arise from interlayer coupling in multilayer cuprates.

cond-mat.supr-con↗

arXiv2026

Bad metallicity in the semi-quantum regime of the Hubbard model

Bad metals exhibit approximately $T$-linear dc resistivity beyond the Ioffe--Regel limit. That this behavior occurs in systems with radically different ground states suggests it is a generic manifestation of strong local correlations. We test this hypothesis in the infinite-$U$ Hubbard model with small hole densities using exact diagonalization to compute thermodynamic and transport properties of finite clusters. Upon cooling, we find an intermediate temperature range, an electronic analogue of the ``semi-quantum regime'' of liquid helium, in which quantum effects produce a roughly $T$-independent compressibility, yet the resistivity is $T$-linear and exceeds the Ioffe--Regel limit. Entry into this regime is accompanied by the formation of quasi-local ferromagnetic ``spin cages'' around doped holes, regions that facilitate local quantum motion embedded in a fluctuating spin background, analogous to the transient crystalline cages thought to control incoherent transport in semi-quantum liquid helium. Remarkably, despite the simplicity of the model, the bad metal behavior found here resembles that seen in various material platforms.

cond-mat.str-el↗

arXiv2026

Entropy-driven transitions between extended integer and fractional quantum Hall regimes

Electronic states with coexisting Wigner-crystal order can sometimes exhibit a quantum Hall effect over a finite range of electron densities---i.e., exhibit ``extended'' quantum Hall (QH) plateaus in the absence of disorder. Such an extended quantum Hall state can then compete with other QH states over the same density range, allowing a first-order thermal transition between them. Here, we analyze several settings in which the entropy associated with Goldstone modes (e.g., magnons or phonons) or soft gapped modes (e.g., magnetoroton) drives a finite-temperature transition between competing QH regimes. Applying this framework to moiré rhombohedral graphene, we argue that a soft magnetoroton in a fractional quantum anomalous Hall state provides a plausible bulk mechanism for the observed thermal evolution from an extended integer QH to a fractional QH regime.

cond-mat.mes-hall↗

arXiv2026

Charge-2esuperconductivity from a disordered pair density wave

We investigate the effects of disorder on a system that in the clean limit is a pair density wave (PDW) superconductor. The charge order of the clean PDW is inevitably lost (via Imry-Ma), but the fate of the superconducting order is less clear. Here, we consider a strongly inhomogeneous limit in which the system consists of a random collection of PDW puddles embedded in a metallic background. When the puddles are dilute, they become phase coherent at low temperatures, resulting in a state that is macroscopically equivalent to a charge-2e s-wave superconductor. This is a mechanism by which a PDW can have zero resistance, even in the presence of disorder, and is thermodynamically distinct from the "vestigial" charge-2e superconductivity that has been proposed to arise in weakly disordered PDWs.

cond-mat.str-el↗

arXiv2026

Microscopic Modeling of the Charge-Density-Waves in the Rare-Earth Tritellurides

Despite being arguably the simplest and best characterized quasi-2D charge-density-wave (CDW) systems, the rare-earth tritellurides ($R$Te$_3$) continue to yield surprising experimental results, including recent evidence suggestive of mirror-symmetry breaking associated with the onset of CDW order. Motivated by this, we consider a 2D electron-phonon model for a single Te square-net plane, which we analyze using mean-field theory. For an appropriate region of parameter space, we find a finite-temperature continuous transition from the normal state to a unidirectional CDW state with an ordering vector matching that observed experimentally. At lower temperatures, we find a second translation-symmetry-breaking transition, similar to what occurs in $R$Te$_3$ compounds with heavier rare-earth elements. In certain parameter regimes, we also find an intervening mirror-symmetry-breaking transition occurring between the two transitions described above. These results reveal an intrinsic susceptibility to mirror-symmetry breaking in the unidirectional CDW phase, which is relevant to understanding recent experiments on the $R$Te$_3$ compounds.

cond-mat.str-el↗

arXiv2026

Observation of Subharmonic Charge-Density-Wave Correlations in La-Based Cuprates

Pair-density-wave (PDW) correlations have been proposed as an important ingredient in the complex phase diagram of high-$T_{\rm c}$ cuprates, yet bulk-sensitive experimental signatures remain scarce. Here we report resonant x-ray scattering measurements revealing a subharmonic charge-density-wave (CDW) scattering response in Sr-doped $1/8$-LBCO. The subharmonic response appears at approximately half the primary CDW ordering wave vector and emerges within a physically relevant temperature regime associated with the development of in-plane superconducting correlations. Comparable subharmonic behavior is also observed in a chemically distinct La-based cuprate, LSCO, within the same stripe-ordered, layer-decoupled regime. Together, these observations identify a bulk-sensitive scattering signature that is consistent with PDW correlations in La-based superconducting cuprates.

cond-mat.supr-con↗

arXiv2026

Competing states in the $S=1/2$ triangular-lattice $J_1$-$J_2$ Heisenberg model: a dynamical density-matrix renormalization group study

Previous studies of the $S=1/2$ triangular-lattice $J_1$--$J_2$ Heisenberg antiferromagnet have inferred the existence of a non-magnetic ground-state phase for an intermediate range of $J_2$, but disagree concerning whether it is a gapped $\mathbb{Z}_2$ quantum spin liquid (QSL), a gapless (Dirac) QSL, or a weakly symmetry-broken phase. Using an improved dynamical density-matrix renormalization group method, we investigate the relevant intermediate $J_2$ regime for cylinders with circumferences from 6 to 9. Depending on the initial state and boundary conditions, we find two {\it distinct} variational states. The higher energy state is consistent with a Dirac QSL. In the lower-energy state, both the static and dynamical properties are qualitatively similar to the magnetically ordered state at $J_2=0$, suggestive of either a weakly magnetically ordered non-QSL or a gapped QSL proximate to a continuous transition to such an ordered state.

cond-mat.str-el↗

arXiv2026

Emergence of Fermi-liquid and BCS physics in overdoped cuprates

Cuprates are the paradigmatic `unconventional' superconductors: their critical temperature is much higher than can be expected from phonon-mediated pairing; the superconducting gap has $d$-wave symmetry; and the normal-metallic state appears to be far from a conventional Fermi liquid. These and numerous other experimental facts have led to a consensus that the conventional theory --- the Fermi-liquid-based Bardeen--Cooper--Schrieffer (BCS) theory --- is the wrong starting point for understanding superconductivity in the cuprates. In this Perspective, we propose that, although underdoped cuprates do indeed require a different theoretical framework, there is a crossover with increasing doping to an overdoped regime in which a BCS-like approach is warranted (at energy scales of the order of the superconducting gap and below), provided that the various forms of disorder are accounted for. We summarize key experimental studies of the low-energy properties of overdoped cuprates, identify properties that are and are not compatible with this proposal --- and argue that features that are inconsistent with this approach can in fact be attributed to the expected effects of material disorder. Finally, we provide falsifiable predictions for the behaviour of an `ideal' (disorder-free) overdoped cuprate through which our approach can be tested.

cond-mat.supr-con↗

arXiv2025

Competition between charge-density-wave and superconducting orders on eight-leg square Hubbard cylinders

The issue of whether $d$-wave superconductivity (SC) occurs in the square-lattice Hubbard model with $U$ of order of the bandwidth has been one of the most debated issues to emerge from the study of high temperature SC. Here, we report variational results on eight-leg cylinders with next-nearest-neighbor hopping in the range $-0.5 t \leq t'\leq 0.25 t$ with $U = 8t$ and $12t$ and doped hole concentrations $δ=1/12$ and $1/8$. For $t'\leq 0$, the ground-state appears to be a charge-density wave (CDW) of one sort or another with SC correlations that are extremely short-ranged. In contrast, in some cases, the local magnetic order has a correlation length greater than half the cylinder width - suggestive that magnetic order might also arise in the 2D limit. For $t'>0$, our results depend more strongly on boundary conditions (periodic vs antiperiodic), making it still harder to correctly guess whether SC or CDW correlations dominate in the 2D limit. These results were obtained employing matrix-product states with bond dimensions large enough that energy differences as small as $10^{-3}t$ per site can be resolved.

cond-mat.str-el↗

arXiv2025

Expert Evaluation of LLM World Models: A High-$T_c$ Superconductivity Case Study

Large Language Models (LLMs) show great promise as a powerful tool for scientific literature exploration. However, their effectiveness in providing scientifically accurate and comprehensive answers to complex questions within specialized domains remains an active area of research. Using the field of high-temperature cuprates as an exemplar, we evaluate the ability of LLM systems to understand the literature at the level of an expert. We construct an expert-curated database of 1,726 scientific papers that covers the history of the field, and a set of 67 expert-formulated questions that probe deep understanding of the literature. We then evaluate six different LLM-based systems for answering these questions, including both commercially available closed models and a custom retrieval-augmented generation (RAG) system capable of retrieving images alongside text. Experts then evaluate the answers of these systems against a rubric that assesses balanced perspectives, factual comprehensiveness, succinctness, and evidentiary support. Among the six systems two using RAG on curated literature outperformed existing closed models across key metrics, particularly in providing comprehensive and well-supported answers. We discuss promising aspects of LLM performances as well as critical short-comings of all the models. The set of expert-formulated questions and the rubric will be valuable for assessing expert level performance of LLM based reasoning systems.

cond-mat.supr-con↗

arXiv2025

Pair-density-wave phase of strongly interacting electrons on the triangular lattice: A variational Monte Carlo study

A robust theory of the mechanism of pair density wave (PDW) superconductivity (i.e. where Cooper pairs have nonzero center of mass momentum) remains elusive. Here we explore the triangular lattice $t$-$J$-$V$ model, a low-energy effective theory derived from the strong-coupling limit of the Holstein-Hubbard model, by large-scale variational Monte Carlo simulations. When the electron density is sufficiently low, the favored ground state is an s-wave PDW, consistent with results obtained from previous studies in this limit. Additionally, a PDW ground state with nematic d-wave pairing emerges in the intermediate range of electron densities and phonon frequencies. For these s-wave and d-wave PDWs arising in states with spontaneous breaking of time-reversal and inversion symmetries, PDW formation derives from valley-polarization and intra-pocket pairing.

cond-mat.str-el↗

arXiv2025

Possible Sliding Regimes in Twisted Bilayer WTe$_2$

Inspired by the observation of increasingly one-dimensional (1D) behavior with decreasing temperature in small-angle twisted bilayers of WTe$_2$ (tWTe$_2$), we theoretically explore the exotic sliding regimes that could be realized in tWTe$_2$. At zero displacement field, while hole-doped tWTe$_2$ can be thought of as an array of weakly coupled conventional two-flavor 1D electron gases (1DEGs), the electron-doped regime is equivalent to coupled four-flavor 1DEGs , due to the presence of an additional "valley'' degree of freedom. In the decoupled limit, the electron-doped system can thus realize phases with a range of interesting ordering tendencies, including $4k_F$ charge-density-wave and charge-$4e$ superconductivity. Dimensional crossovers and cross-wire transport due to inter-wire couplings of various kinds are also discussed. We find that a sliding Luther-Emery liquid with small inter-wire couplings is probably most consistent with current experiments on hole-doped tWTe$_2$.

cond-mat.str-el↗

arXiv2025

Modified interferometer to measure anyonic braiding statistics

Existing quantum Hall interferometers measure twice the braiding phase, $e^{i2θ}$, of Abelian anyons, i.e. the phase accrued when one quasi-particle encircles another clockwise. We propose a modified Fabry-Pérot or Mach-Zehnder interferometer that can measure $e^{iθ}$.

cond-mat.mes-hall↗

arXiv2025

Symmetry-determined generalized ferromagnetism in multi-valley electron fluids

Quantum electronic fluids with spin and valley degrees of freedom have a correlation driven tendency to flavor polarization (generalized ferromagnetism). To first order in the long-range Coulomb interactions -- i.e. in the Hartree-Fock approximation -- spin and valley polarization exhibit a spurious degeneracy. We show that to second order -- or more generally in the random-phase approximation -- this degeneracy is lifted in a way that depends only on the underlying symmetry relating the two valleys. In two spatial dimensions, if the valleys are related by an $n-$fold rotation ($n>2$) or by mirror reflection and each valley is invariant under $C_2$ or time reversal (as is the case in AlAs quantum wells) then valley polarization is preferred. If the valleys are related by time reversal or by $C_2$ rotation symmetry (as in multilayer graphene systems) then spin order is selected.

cond-mat.str-el↗

arXiv2025

Spin-glass state in nickelate superconductors

Magneto-optical measurements in La${}_{0.8}$Sr${}_{0.2}$NiO${}_2$ and Nd${}_{0.825}$Sr${}_{0.175}$NiO${}_2$ reveal an intriguing new facet of infinite-layer nickelate superconductors: the onset of spin-glass behavior at a temperature far exceeding the superconducting critical temperature $T_c$. This discovery sharply contrasts with copper oxide superconductors, where magnetism and superconductivity remain largely exclusive. Moreover, the magnitude and onset temperature of the polar Kerr effect in Nd${}_{0.825}$Sr${}_{0.175}$NiO${}_2$ fabricated on SrTiO${}_3$ and (LaAlO${}_3$)${}_{0.3}$(Sr${}_2$TaAlO${}_6$)${}_{0.7}$ substrates differ dramatically, while $T_c$ does not.

cond-mat.str-el↗

arXiv2025

Models of interacting bosons with exact ground states: a unified approach

We define an infinite class of ``frustration-free'' interacting lattice quantum Hamiltonians for bosons, constructed such that their exact ground states have a density distribution specified by the Boltzmann weight of a corresponding classical lattice gas problem. By appropriately choosing the classical weights, we obtain boson representations of various known solvable models, including quantum dimer and vertex models, toric code, and certain Levin-Wen string-net models. We also systematically construct solvable models with other interesting ground states, including ``quantum spin liquids,'' supersolids, ``Bose-Einstein insulators,'' Bose liquids with ``Bose surfaces'', and Bose-Einstein condensates that permit adiabatic evolution from a non-interacting limit to a Gutzwiller-projected limit.

cond-mat.supr-con↗

arXiv2025

Extended strange metal regime from superconducting puddles

We study a model of mesoscale superconducting puddles in a metal, represented as dynamical impurities interacting with a finite number of electronic channels via Andreev and normal scattering. We identify conditions under which the collection of puddles make a $T$-linear contribution to the resistivity and a $T\ln(1/T)$ to the specific heat and thermopower. This behavior emerges in an intermediate temperature range that extends from an upper energy scale set by the renormalized charging energy of the puddles, and down to an exponentially small scale associated with a charge-Kondo crossover, provided that the number of electronic channels interacting with the puddle is large. The phenomenology of our model resembles the apparent extended strange metal regime observed in overdoped cuprates which exhibits $T$-linear resistivity at low $T$ over a finite range of doping. We also propose to engineer a strange metal from suitably designed superconducting grains in a metallic matrix.

cond-mat.str-el↗

arXiv2025

The significance of "stripes" in the physics of the cuprates, the Hubbard model, and other highly correlated electronic systems

"Stripes" - meaning unidirectional charge-density-waves, sometimes (but not always) accompanied by spin-density-waves with twice the period - are now known to arise in broad swathes of the cuprate phase diagram, and appear as a strong ordering tendency in numerical studies of Hubbard-like models of highly correlated electron systems. Jan Zaanen's work played a seminal role in predicting their existence, and exploring their possible significance. They are {\it not} related to any weak-coupling physics associated with some form of Fermi-surface nesting. And whether one likes them or not, they are surprisingly difficult to avoid; in the Hubbard model, for example, they often appear as an alternative order that can out-compete the otherwise favored $d$-wave superconductivity.

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