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Related Concept Videos

Phase Diagram01:19

Phase Diagram

The phase of a given substance depends on the pressure and temperature. Thus, plots of pressure versus temperature showing the phase in each region provide considerable insights into the thermal properties of substances. Such plots are known as phase diagrams. For instance, in the phase diagram for water (Figure 1), the solid curve boundaries between the phases indicate phase transitions (i.e., temperatures and pressures at which the phases coexist).
Phase Diagram01:24

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A phase diagram is a graphical representation of the physical states of a substance under different conditions of temperature and pressure. It shows the boundaries between solid, liquid, and gas phases and the conditions at which these phases coexist in equilibrium. An area in a phase diagram represents a single phase, whereas lines or phase boundaries represent the equilibrium between two phases.In the phase diagram of water, the boundary line between the solid and liquid states illustrates...
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The arrangement of electrons in the orbitals of an atom is called its electron configuration. We describe an electron configuration with a symbol that contains three pieces of information:

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First order phase transition in the anisotropic quantum orbital compass model.

Román Orús1, Andrew C Doherty, Guifré Vidal

  • 1The University of Queensland, School of Physical Sciences, QLD 4072, Australia. orus@physics.uq.edu.au

Physical Review Letters
|March 5, 2009
PubMed
Summary
This summary is machine-generated.

Researchers used the infinite projected entangled-pair state algorithm to study the quantum orbital compass model. They confirmed a first-order quantum phase transition at Jx=Jz, demonstrating tensor network algorithms

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Area of Science:

  • Condensed Matter Physics
  • Quantum Mechanics
  • Materials Science

Background:

  • The quantum orbital compass model describes magnetic properties in materials.
  • Understanding quantum phase transitions is crucial for developing new materials.
  • Infinite projected entangled-pair state (PEPS) algorithms are advanced computational tools.

Purpose of the Study:

  • To investigate the anisotropic quantum orbital compass model on an infinite square lattice.
  • To approximate ground states and evaluate their properties.
  • To characterize quantum phase transitions using tensor network algorithms.

Main Methods:

  • Utilized the infinite projected entangled-pair state (PEPS) algorithm.
  • Approximated ground states for varying coupling constants (Jx and Jz).
  • Evaluated expected energy and local order parameters.
  • Computed adiabatic continuations of ground states.

Main Results:

  • Identified coexistence of multiple ground states with distinct local properties at Jx=Jz.
  • Observed results consistent with a first-order quantum phase transition at Jx=Jz.
  • Demonstrated the suitability of tensor network algorithms for characterizing such transitions.

Conclusions:

  • The infinite projected entangled-pair state algorithm effectively characterizes quantum phase transitions.
  • Tensor network algorithms are well-suited for studying complex quantum models.
  • The study provides corroborating evidence for first-order quantum phase transitions in the compass model.