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Recently the scaling result $z=d$ for the dynamic critical exponent at the Bose glass to superfluid quantum phase transition has been questioned both on theoretical and numerical grounds. This motivates a careful evaluation of the critical…

Disordered Systems and Neural Networks · Physics 2015-05-30 Hannes Meier , Mats Wallin

The critical phenomenon of the zero temperature superfluid--Bose-glass phase transition for hard-core bosons on a three-dimensional disordered lattice is studied using a quantum real-space renormalization-group method. The…

Condensed Matter · Physics 2009-10-22 Lizeng Zhang , Xiao-Qian Wang

I obtain the inverse of the correlation length exponent at the superfluid-Bose glass quantum critical point as a series in small parameter $\sqrt{d-1}$, with d being the dimensionality of the system, and compute the first two terms using a…

Superconductivity · Physics 2009-10-31 Igor F. Herbut

It is shown that previous arguments leading to the equality $z=d$ ($d$ being the spatial dimensionality) for the dynamical exponent describing the Bose glass to superfluid transition may break down, as apparently seen in recent simulations…

Disordered Systems and Neural Networks · Physics 2007-05-23 Peter B. Weichman , Ranjan Mukhopadhyay

We present a Monte Carlo study of the Bose-glass to superfluid transition in the three-dimensional Bose-Hubbard model. Simulations are performed on the classical (3 + 1) dimensional link-current representation using the geometrical worm…

Strongly Correlated Electrons · Physics 2007-05-23 Peter Hitchcock , Erik S. Sorensen

We investigate the critical behaviors of correlation length and critical exponents for strongly interacting bosons in a two-dimensional optical lattice via quantum Monte Carlo simulations. By comparing the full numerical results to those…

Quantum Gases · Physics 2017-05-24 Hao Lee , Shiang Fang , Daw-Wei Wang

We investigate the critical behavior of a spin chain coupled to bosonic baths characterized by a spectral density proportional to $\omega^s$, with $s>1$. Varying $s$ changes the effective dimension $d_\text{eff} = d + z$ of the system,…

Statistical Mechanics · Physics 2012-06-13 Iver Bakken Sperstad , Einar B. Stiansen , Asle Sudbø

Recent experimental and numerical studies of the critical-temperature exponent $\phi$ for the superfluid-Bose glass universality in three-dimensional systems report strong violations of the key quantum critical relation, $\phi=\nu z$, where…

Strongly Correlated Electrons · Physics 2014-06-05 Zhiyuan Yao , Karine P. C. da Costa , Mikhail Kiselev , Nikolay Prokof'ev

We investigate the superfluid (SF) to Bose glass (BG) quantum phase transition using extensive quantum Monte Carlo simulations of two-dimensional hard-core bosons in a random box potential. $T=0$ critical properties are studied by thorough…

Disordered Systems and Neural Networks · Physics 2015-04-22 Juan Pablo Álvarez Zúñiga , David J. Luitz , Gabriel Lemarié , Nicolas Laflorencie

We study vortex lines in high-temperature superconductors with columnar defects produced by heavy ion irradiation. We reconsider scaling theory for the Bose glass transition with tilted magnetic fields, and propose, e.g., a new scaling form…

Superconductivity · Physics 2009-10-31 Jack Lidmar , Mats Wallin

I argue that the system of interacting bosons at zero temperature and in random external potential possesses a simple critical point which describes the proliferation of disorder-induced topological defects in the superfluid ground state,…

Superconductivity · Physics 2009-10-31 Igor F. Herbut

Validity of modified finite-size scaling above the upper critical dimension is demonstrated for the quantum phase transition whose dynamical critical exponent is $z=2$. We consider the $N$-component Bose-Hubbard model, which is exactly…

Statistical Mechanics · Physics 2010-01-27 Yasuyuki Kato , Naoki Kawashima

The dynamical critical exponent $z$ is a fundamental quantity in characterizing quantum criticality, and it is well known that the presence of dissipation in a quantum model has significant impact on the value of $z$. Studying quantum Ising…

Statistical Mechanics · Physics 2010-03-18 Iver B. Sperstad , Einar B. Stiansen , Asle Sudbo

Critical exponents characterize the divergent scaling of thermodynamic quantities near phase transitions and allow for the classification of physical systems into universality classes. While quantum gases thermalizing by interparticle…

We consider a zero-temperature one-dimensional system of bosons interacting via the soft-shoulder potential in the continuum, typical of dressed Rydberg gases. We employ quantum Monte Carlo simulations, which allow for the exact calculation…

We study the quantum transition at $T=0$ in the spin-$\frac12$ Ising spin--glass in a transverse field in two dimensions. The world line path integral representation of this model corresponds to an effective classical system in (2+1)…

Condensed Matter · Physics 2009-10-22 Heiko Rieger , A. Peter Young

We study the insulator-to-superfluid transition in a two-dimensional disordered boson Hubbard model at zero temperature for intermediate strength of disorder at commensurate density. Via Monte Carlo calculations of the correlation functions…

Strongly Correlated Electrons · Physics 2009-11-10 Ji-Woo Lee , Min-Chul Cha

A concise, somewhat personal, review of the problem of superfluidity and quantum criticality in regular and disordered interacting Bose systems is given, concentrating on general features and important symmetries that are exhibited in…

Disordered Systems and Neural Networks · Physics 2009-11-13 Peter B. Weichman

We discuss a quantum transition from a superfluid to a Mott glass phases in disordered Bose-systems by the example of an isotropic spin-$\frac12$ antiferromagnet with spatial dimension $d\ge2$ and with disorder in tunable exchange…

Strongly Correlated Electrons · Physics 2017-10-24 A. V. Syromyatnikov

We present an improved scheme for the precise evaluation of finite-temperature response functions of strongly correlated systems in the framework of the time-dependent density matrix renormalization group. The maximum times that we can…

Strongly Correlated Electrons · Physics 2012-12-17 Thomas Barthel , Ulrich Schollwöck , Subir Sachdev
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