Critical Properties of the Superfluid—Bose-Glass Transition in Two Dimensions

Zúñiga, Juan Pablo Álvarez; Luitz, David J.; Lemarié, Gabriel; Laflorencie, Nicolas

doi:10.1103/physrevlett.114.155301

Cited by 36 publications

(45 citation statements)

References 67 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Our work opens several perspectives to address quantum localization problems, in particular beyond one dimension. For instance the two-dimensional Bose-glass problem at zero temperature [45,46] could be revisited from this point of view. Its interacting localized groundstate, accessible by quantum Monte Carlo on much larger system sizes than the ones of exact diagonalization, may be a good representative of an excited state of another Hamiltonian.…”

Section: Discussionmentioning

confidence: 99%

From eigenstate to Hamiltonian: Prospects for ergodicity and localization

2019

Self Cite

View full text Add to dashboard Cite

This work addresses the so-called inverse problem which consists in searching for (possibly multiple) parent target Hamiltonian(s), given a single quantum state as input. Starting from Ψ0, an eigenstate of a given local Hamiltonian H0, we ask whether or not there exists another parent Hamiltonian HP for Ψ0, with the same local form as H0. Focusing on one-dimensional quantum disordered systems, we extend the recent results obtained for Bose-glass ground states [M. Dupont and N. Laflorencie, Phys. Rev. B 99, 020202(R) (2019)] to Anderson localization, and the manybody localization (MBL) physics occurring at high-energy. We generically find that any localized eigenstate is a very good approximation for an eigenstate of a distinct parent Hamiltonian, with an energy variance σ 2 P (L) = H 2 P Ψ 0 − HP 2 Ψ 0 vanishing as a power-law of system size L. This decay is microscopically related to a chain breaking mechanism, also signalled by bottlenecks of vanishing entanglement entropy. A similar phenomenology is observed for both Anderson and MBL. In contrast, delocalized ergodic many-body eigenstates uniquely encode the Hamiltonian in the sense that σ 2 P (L) remains finite at the thermodynamic limit, i.e., L → +∞. As a direct consequence, the ergodic-MBL transition can be very well captured from the scaling of σ 2 P (L).

show abstract

Section: Discussionmentioning

confidence: 99%

From eigenstate to Hamiltonian: Prospects for ergodicity and localization

2019

Self Cite

View full text Add to dashboard Cite

show abstract

“…. (Color online) Slope xL = (d/dT )gav at criticality vs. system size L for optimally shaped samples at different dilutions p. Solid lines at fits to xL = aL 1/ν (1 + bL −ω ) giving ν = 1.146(16) and ω = 0.97(23). The lines are dotted in the regions not included in the fit.…”

mentioning

confidence: 99%

Quantum critical behavior of the superfluid-Mott glass transition

et al. 2016

View full text Add to dashboard Cite

We investigate the zero-temperature superfluid to insulator transitions in a diluted twodimensional quantum rotor model with particle-hole symmetry. We map the Hamiltonian onto a classical (2 + 1)-dimensional XY model with columnar disorder which we analyze by means of largescale Monte Carlo simulations. For dilutions below the lattice percolation threshold, the system undergoes a generic superfluid-Mott glass transition. In contrast to other quantum phase transitions in disordered systems, its critical behavior is of conventional power-law type with universal (dilution-independent) critical exponents z = 1.52(3), ν = 1.16(5), β/ν = 0.48(2), γ/ν = 2.52(4), and η = −0.52(4). These values agree with and improve upon earlier Monte-Carlo results [Phys. Rev. Lett. 92, 015703 (2004)] while (partially) excluding other findings in the literature. As a further test of universality, we also consider a soft-spin version of the classical Hamiltonian. In addition, we study the percolation quantum phase transition across the lattice percolation threshold; its critical behavior is governed by the lattice percolation exponents in agreement with recent theoretical predictions. We relate our results to a general classification of phase transitions in disordered systems, and we briefly discuss experiments.

show abstract

“…the Kondo effect [1], the many-body localization transition [2], or the superfluid to Bose-glass (BG) [3,4] transition at finite disorder for lattice bosons [5][6][7]. While counterintuitive, in some situations disorder may enhance long-range order, as discussed for inhomogeneous superconductors [8][9][10].…”

mentioning

confidence: 99%

Disorder-Induced Revival of the Bose-Einstein Condensation inNi(Cl1−xBrx
Dupont
¹
,
Capponi
²
,
Laflorencie
³

2017
Phys. Rev. Lett.
Self Cite
14
5
28
0
View full text Add to dashboard Cite

Building on recent NMR experiments [A. Orlova et al., Phys. Rev. Lett. 118, 067203 (2017)], we theoretically investigate the high magnetic field regime of the disordered quasi-one-dimensional S = 1 antiferromagnetic material Ni(Cl1−xBrx)2-4SC(NH2)2. The interplay between disorder, chemically controlled by Br-doping, interactions, and the external magnetic field, leads to a very rich phase diagram. Beyond the well-known antiferromagnetically ordered regime, analog of a Bose condensate of magnons, which disappears when H ≥ 12.3 T, we unveil a resurgence of phase coherence at higher field H ∼ 13.6 T, induced by the doping. Interchain couplings stabilize finite temperature long-range order whose extension in the field -temperature space is governed by the concentration of impurities x. Such a "mini-condensation" contrasts with previously reported Bose-glass physics in the same regime, and should be accessible to experiments.Introduction.-Interacting quantum systems in the presence of disorder have been intensively studied for several decades, leading to fascinating physics, e.g. the Kondo effect [1], the many-body localization transition [2], or the superfluid to Bose-glass (BG) [3,4] transition at finite disorder for lattice bosons [5][6][7]. While counterintuitive, in some situations disorder may enhance long-range order, as discussed for inhomogeneous superconductors [8][9][10]. Perhaps even more surprisingly, doping gapped antiferromagnets with a finite concentration of magnetic or non-magnetic impurities can fill up the bare spin gap with localized levels [11-13] which may eventually order, in the strict sense of macroscopic long-range order (LRO) at low temperature. Such an impurity-induced ordering mechanism of the type "order from disorder" [14,15] [21]. Nevertheless, only a few studies have focused on the effect of an external field [22][23][24][25][26][27].In this Letter, building on recent nuclear magnetic resonance (NMR) experiments [28], we achieve a realistic theoretical study of the high magnetic field regime of Ni(Cl 1−x Br x ) 2 -4SC(NH 2 ) 2 (DTNX): a threedimensional antiferromagnetic (AF) system made of weakly coupled chains of S = 1 spins subject to singleion anisotropy [panels (b-c) of Fig. 1]. Note that the S = 1 chains are not of Haldane type, due to the large anisotropy D [29]. In the absence of chemical disorder (x = 0), NiCl 2 -4SC(NH 2 ) 2 (DTN) provides a very good realization of magnetic field-induced Bose-Einstein condensation (BEC) in a quantum spin system [30][31][32][33] between two critical field H clean

show abstract

Critical Properties of the Superfluid—Bose-Glass Transition in Two Dimensions

Cited by 36 publications

References 67 publications

From eigenstate to Hamiltonian: Prospects for ergodicity and localization

From eigenstate to Hamiltonian: Prospects for ergodicity and localization

Quantum critical behavior of the superfluid-Mott glass transition

Disorder-Induced Revival of the Bose-Einstein Condensation inNi(Cl1−xBrx
Dupont
¹
,
Capponi
²
,
Laflorencie
³

2017
Phys. Rev. Lett.
Self Cite
14
5
28
0
View full text Add to dashboard Cite

Contact Info

Product

Resources

About

Critical Properties of the Superfluid—Bose-Glass Transition in Two Dimensions

Cited by 36 publications

References 67 publications

From eigenstate to Hamiltonian: Prospects for ergodicity and localization

From eigenstate to Hamiltonian: Prospects for ergodicity and localization

Quantum critical behavior of the superfluid-Mott glass transition

Disorder-Induced Revival of the Bose-Einstein Condensation inNi(Cl1−xBrxDupont1, Capponi2, Laflorencie3 2017Phys. Rev. Lett.Self Cite145280View full textAdd to dashboardCite

Contact Info

Product

Resources

About

Disorder-Induced Revival of the Bose-Einstein Condensation inNi(Cl1−xBrx
Dupont
¹
,
Capponi
²
,
Laflorencie
³

2017
Phys. Rev. Lett.
Self Cite
14
5
28
0
View full text Add to dashboard Cite