# Quantum phase transitions

@article{Lavagna2001QuantumPT, title={Quantum phase transitions}, author={M. Lavagna}, journal={Philosophical Magazine B}, year={2001}, volume={81}, pages={1469 - 1483} }

Abstract We give a general introduction to quantum phase transitions in strongly correlated electron systems. These transitions, which occur at zero temperature when a non-thermal parameter g such as the pressure, chemical concentration or magnetic field is tuned to a critical value, are characterized by a dynamie exponent z related to the energy and length scales δ and ∂. We show how one can derive an effective bosonic model associated with fluctuations in the ordering fields. Simple arguments…

## 2,071 Citations

Locally critical quantum phase transitions in strongly correlated metals

- PhysicsNature
- 2001

The theoretical finding of a locally critical quantum phase transition in a model of heavy fermions is reported, and local criticality is proposed to be a phenomenon of general relevance to strongly correlated metals.

Effective action approach for quantum phase transitions in bosonic lattices

- Physics
- 2009

Based on standard field-theoretic considerations, we develop an effective action approach for investigating quantum phase transitions in lattice Bose systems at arbitrary temperature. We begin by…

Quantum Critical Behavior of One-Dimensional Soft Bosons in the Continuum.

- PhysicsPhysical review letters
- 2017

A zero-temperature one-dimensional system of bosons interacting via the soft-shoulder potential in the continuum, typical of dressed Rydberg gases, is considered, and the spatial correlation function of a suitable pseudospin operator is evaluated, which manifests ferromagnetic order in the cluster liquidphase, exponential decay in the liquid phase, and algebraic order at criticality.

Non-Fermi liquid at the FFLO quantum critical point

- PhysicsPhysical Review B
- 2018

When a 2D superconductor is subjected to a strong in-plane magnetic field, Zeeman polarization of the Fermi surface can give rise to inhomogeneous FFLO order with a spatially modulated gap. Further…

Quantum critical behavior of ultracold bosons in the two-dimensional Bose-Hubbard lattice

- Physics
- 2021

We investigate the temperature-dependent behavior emerging in the vicinity of the superfluid (SF) to Mott insulator (MI) transition of interacting bosons in a two-dimensional optical lattice,…

Quantum phase transitions in semi-local quantum liquids

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- 2011

We consider several types of quantum critical phenomena from finite-density gauge-gravity duality which to different degrees lie outside the Landau-Ginsburg-Wilson paradigm. These include: (1) a…

Quantum Phase Transitions in d-wave Superconductors and Antiferromagnetic Kagome Lattices

- Physics
- 2011

Strongly correlated systems are of interest due to their exotic collective behavior. In this thesis we study low energy effective theory and quantum phase transitions of d-wave superconductors and…

Gaussian quantum fluctuations in the superfluid–Mott-insulator phase transition

- PhysicsPhysical Review A
- 2019

Recent advances in cooling techniques make now possible the experimental study of quantum phase transitions, which are transitions near absolute zero temperature accessed by varying a control…

Impurity quantum phase transitions

- Physics
- 2006

Recent work is reviewed on continuous quantum phase transitions in impurity models, both with fermionic and bosonic baths – these transitions are interesting realizations of boundary critical…

DRIVEN QUANTUM SYSTEMS

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- 2019

In this thesis we introduce a new quantity which we call the dynamic fidelity susceptibility (DFS). We show that it is relevant to out-of-equilibrium dynamics in many-particle quantum systems, taking…

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