Superfluid-Mott Glass Quantum Multicritical Point on a Percolating Lattice

Martin Puschmann; Thomas Vojta

doi:10.1088/1742-6596/905/1/012038

Superfluid-Mott Glass Quantum Multicritical Point on a Percolating Lattice

Martin Puschmann
, Thomas Vojta

Physics

Research output: Contribution to journal › Article › peer-review

Abstract

We employ large-scale Monte Carlo simulations to study a particle-hole symmetric site-diluted quantum rotor model in two dimensions. The ground state phase diagram of this system features two distinct quantum phase transitions between the superfluid and the insulating (Mott glass) phases. They are separated by a multicritical point. The generic transition for dilutions below the lattice percolation threshold is driven by quantum fluctuations while the transition across the percolation threshold is due to the geometric fluctuations of the lattice. We determine the location of the multicritical point between these two transitions and find its critical behavior. The multicritical exponents read z=1.72(2), ß/ν=0.41(2), and γ/ν=2.90(5) . We compare our results to other quantum phase transitions in disordered systems, and we discuss experiments.

Original language	American English
Article number	012038
Journal	Proceedings of the 28th IUPAP Conference on Computational Physics (2016, Pretoria, South Africa)
Issue number	1
DOIs	https://doi.org/10.1088/1742-6596/905/1/012038
State	Published - Jul 1 2016
Event	28th Annual IUPAP Conference on Computational Physics, CCP 2016 - Pretoria, South Africa Duration: Jul 10 2016 → Jul 14 2016

Keywords

Glass
Ground state
Intelligent systems
Monte Carlo methods
Percolation (computer storage)
Percolation (fluids)
Phase diagrams
Phase transitions
Solvents, Critical behavior
Disordered system
Generic transition
Ground state phase diagram
Lattice percolation
Multicritical point
Percolation thresholds
Quantum phase transitions, Quantum theory

Disciplines

Numerical Analysis and Scientific Computing
Physics

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10.1088/1742-6596/905/1/012038License: CC BY

Superfluid-Mott Glass Quantum Multicritical Point on a PercolatinFinal published version, 654 KBLicense: CC BY

https://arxiv.org/abs/1608.06862

Cite this

@article{9f7722abfbc94c1ba78b2b71873f2502,

title = "Superfluid-Mott Glass Quantum Multicritical Point on a Percolating Lattice",

abstract = " We employ large-scale Monte Carlo simulations to study a particle-hole symmetric site-diluted quantum rotor model in two dimensions. The ground state phase diagram of this system features two distinct quantum phase transitions between the superfluid and the insulating (Mott glass) phases. They are separated by a multicritical point. The generic transition for dilutions below the lattice percolation threshold is driven by quantum fluctuations while the transition across the percolation threshold is due to the geometric fluctuations of the lattice. We determine the location of the multicritical point between these two transitions and find its critical behavior. The multicritical exponents read z=1.72(2), {\ss}/ν=0.41(2), and γ/ν=2.90(5) . We compare our results to other quantum phase transitions in disordered systems, and we discuss experiments.",

keywords = "Glass, Ground state, Intelligent systems, Monte Carlo methods, Percolation (computer storage), Percolation (fluids), Phase diagrams, Phase transitions, Solvents, Critical behavior, Disordered system, Generic transition, Ground state phase diagram, Lattice percolation, Multicritical point, Percolation thresholds, Quantum phase transitions, Quantum theory",

author = "Martin Puschmann and Thomas Vojta",

note = "Publisher Copyright: {\textcopyright} Published under licence by IOP Publishing Ltd.; 28th Annual IUPAP Conference on Computational Physics, CCP 2016 ; Conference date: 10-07-2016 Through 14-07-2016",

year = "2016",

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T1 - Superfluid-Mott Glass Quantum Multicritical Point on a Percolating Lattice

AU - Puschmann, Martin

AU - Vojta, Thomas

N1 - Publisher Copyright: © Published under licence by IOP Publishing Ltd.

PY - 2016/7/1

Y1 - 2016/7/1

N2 - We employ large-scale Monte Carlo simulations to study a particle-hole symmetric site-diluted quantum rotor model in two dimensions. The ground state phase diagram of this system features two distinct quantum phase transitions between the superfluid and the insulating (Mott glass) phases. They are separated by a multicritical point. The generic transition for dilutions below the lattice percolation threshold is driven by quantum fluctuations while the transition across the percolation threshold is due to the geometric fluctuations of the lattice. We determine the location of the multicritical point between these two transitions and find its critical behavior. The multicritical exponents read z=1.72(2), ß/ν=0.41(2), and γ/ν=2.90(5) . We compare our results to other quantum phase transitions in disordered systems, and we discuss experiments.

AB - We employ large-scale Monte Carlo simulations to study a particle-hole symmetric site-diluted quantum rotor model in two dimensions. The ground state phase diagram of this system features two distinct quantum phase transitions between the superfluid and the insulating (Mott glass) phases. They are separated by a multicritical point. The generic transition for dilutions below the lattice percolation threshold is driven by quantum fluctuations while the transition across the percolation threshold is due to the geometric fluctuations of the lattice. We determine the location of the multicritical point between these two transitions and find its critical behavior. The multicritical exponents read z=1.72(2), ß/ν=0.41(2), and γ/ν=2.90(5) . We compare our results to other quantum phase transitions in disordered systems, and we discuss experiments.

KW - Glass

KW - Ground state

KW - Intelligent systems

KW - Monte Carlo methods

KW - Percolation (computer storage)

KW - Percolation (fluids)

KW - Phase diagrams

KW - Phase transitions

KW - Solvents, Critical behavior

KW - Disordered system

KW - Generic transition

KW - Ground state phase diagram

KW - Lattice percolation

KW - Multicritical point

KW - Percolation thresholds

KW - Quantum phase transitions, Quantum theory

UR - https://scholarsmine.mst.edu/phys_facwork/500

UR - https://arxiv.org/abs/1608.06862

U2 - 10.1088/1742-6596/905/1/012038

DO - 10.1088/1742-6596/905/1/012038

M3 - Article

JO - Proceedings of the 28th IUPAP Conference on Computational Physics (2016, Pretoria, South Africa)

JF - Proceedings of the 28th IUPAP Conference on Computational Physics (2016, Pretoria, South Africa)

IS - 1

M1 - 012038

T2 - 28th Annual IUPAP Conference on Computational Physics, CCP 2016

Y2 - 10 July 2016 through 14 July 2016

ER -

Superfluid-Mott Glass Quantum Multicritical Point on a Percolating Lattice

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Keywords

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